A hemisphere is placed on top of a cylinder with the same radius. The height of the cylinder is 10 inches and the radius is 3 inches.What is the volume of this composite figure? Use the \piπ button on your calculator to determine the answer. Round your answer to the hundredths place.
Answers
Given,
The radius of the cylinder and the hemisphere, r=3 inches
The height of the cylinder, h=10 inches.
The volume of the whole figure is the sum of the volume of the cylinder and the volume of the hemisphere.
Hemisphere is the half of a sphere. Thus the volume of a hemisphere is equal to half of the volume of the sphere with the same radius as the hemisphere.
The volume of the given hemisphere is,
\(V_h=\frac{2}{3}\pi r^3\)On substituting the known values,
\(\begin{gathered} V_h=\frac{2}{3}\pi\times3^3 \\ =56.55\text{ cubic inches} \end{gathered}\)The volume of the cylinder is given by,
\(V_c=\pi r^2h\)On substituting the known values,
\(\begin{gathered} V_c=\pi\times3^2\times10 \\ =282.74\text{ cubic inches} \end{gathered}\)Thus the total volume of the given figure is,
\(\begin{gathered} V=V_h+V_c \\ =56.55+282.74 \\ =339.29\text{ cubic inches} \end{gathered}\)Thus the volume of the given figure is 339.29 cubic inches
Related Questions
State two reasons why the key in the circuit should be opened when reading
are not taken.
Answers
Answer:
1) If a cell or battery is used, the key in the circuit should be left open so as not to drain the battery or cell.
2) Also, leaving the key closed causes current to flow through the circuit, which also causes the temperature of the circuit to increase. Since the resistance of most metals increases with an increase in temperature, the resistance of the circuit will increase, which will then affect the integrity of the whole experiment.
a privately owned yacht leaves a dock in myrtle beach, south carolina, and heads toward freeport in the bahamas at a bearing of S 1.4E . the yacht averages a speed of 20 knots over the 428-nautical-mile trip.
Answers
Leaving a pier in Myrtle Beach, South Carolina, a privately owned yacht travels with a bearing of S 1.4E toward Freeport, Bahamas. Over the 428 nautical mile journey, the boat travels at an average speed of 20 knots.
d=r×t
428=20×t
t=21.4 hours it take the yacht to make the trip.
20×12=240Nm
sin14°=ε/240
ε=5.9Nm
cos14°=S/240
S=239.9Nm is the yacht after 12 hours.
180°-14°=178.6° bearing should be taken.
Speed can be defined as the distance covered by an object in relation to the time it takes to cover that distance. In other words, it is a measurement of how fast an object moves but does not provide direction. The term "velocity" refers to the relationship between direction and speed.
The SI unit system is most commonly used to express speed units. Speed is measured in metres per second (m/s) because distance is measured in metres and time is measured in seconds. Unit Representation: The speed is denoted by "s" and is measured in metres per second (ms-1). The distance travelled is expressed in metres (m) and denoted by d. The letter "t" represents the amount of time spent.
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What happens to the interference fringes if coherent sources is replaced by the headlight of
vehicles?
Answers
Answer:
headlight of vehicles use less energy and gives light to very limited area hence electricity can be conserved by doing this
In a grassland ecosystem, grass is the producer. The grass is eaten by rabbits. The rabbits are eaten by foxes. And the foxes
koal
are eaten by hawks. If the grass produces 83,721 of energy, how much energy will the apex predator receive? (1 point)
m²yr
O 83.721
O 837.21 kcal
m²yr
kcal
m²yr
O 8,372.1 kcal
m³yr
8.3721
keal
m³yr
Answers
Based on the given food chain, the energy flows from the producer (grass) to the primary consumer (rabbits), to the secondary consumer (foxes), and finally to the tertiary consumer (hawks), which is the apex predator.
Each level of the food chain typically follows the 10% rule, where only about 10% of the energy from the previous level is transferred to the next level. Therefore, to calculate the energy received by the apex predator, we need to multiply the energy produced by the grass by the product of the energy transfer efficiency across all levels in the food chain:
83,721 x 0.1 x 0.1 x 0.1 = 837.21 kcal/m²/yr
Therefore, the apex predator (hawks) will receive approximately 837.21 kcal/m²/yr of energy.
It is the final seconds of an ice hockey game between the Flyers and the Bruins. The Bruins are down by 1 point. With 20 s left in the game, the Bruins pull the goalie and have him play as a forward in an attempt to tie the game. The Flyers successfully defend their goal for 9 s. With only 1.25 s remaining on the game clock, a Flyer shoots the puck on the ice past the skates and sticks of the other players and toward the Bruins' goal. The puck is 37 m from the goal when it leaves the stick with an initial horizontal velocity of 30 m/s. The shot is perfectly directed toward the empty goal, but the ice slows the puck down at a constant rate of 0.50 m/s2 as it slides toward the goal. None of the Bruins can stop the puck before it reaches the goal.
A. Where is the puck when the game clock reaches zero and the horn sounds to end the game?
B) Do the flyers win the game by 1 or 2 points?
Answers
Answer:
A
\(k = 0.11 \ m \) beyond the goal post
B
Given that the goal was score against the Bruins it then means that the Flyer won the game with 2 points
Explanation:
From the question we are told that
The amount of time left in the game is \(t = 20 \ s\)
The amount of time the goal was defended is \(t_1 = 9 \ s\)
The time remaining when the shot was made is \(t_2 = 1.25 \ s\)
The distance of the pluck from the goal is \(d = 37 \ m\)
The initial velocity of the pluck is \(u = 30 \ m/s\)
The acceleration of the pluck is \(a = -0.50 \ m/s^2\)
Generally the distance travel at the remaining time is mathematically represented as
\(D = u * t _2 + \frac{1}{2}* a* t_2\)
\(D = 30 * 1.25 - \frac{1}{2}* 0.50* 1.25^2\)
\(D = 37.11 \ m \)
So the position of the pluck when the game clock reaches zero is
\(k = D - d\)
=> \(k = 37.11 - 37\)
=> \(k = 0.11 \ m \) beyond the goal post
Given that the goal was score against the Bruins it then means that the Flyer won the game with 2 points
To better understand crash dynamics we have to look at "__________."
A. the law of gravity
B. Bernoulli's principle
C. the laws of motion
D. Archimedes' principle
Answers
To better understand crash dynamics we have to look at "the laws of motion."
The laws of motion
The laws of motion were introduced by Sir Isaac Newton in 1687 in his book Philosophiæ Naturalis Principia Mathematica ("Mathematical Principles of Natural Philosophy"), which defined the laws of motion, or three fundamental laws that govern the movement of bodies. The laws of motion, according to Newton, govern the motion of an object or a system of objects that interact.
It defines the concepts of force and mass, and the fundamental dynamics of motion.The following are the laws of motion:Every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. The velocity of an object changes proportional to the force applied to it, and the acceleration of an object is proportional to both its force and its mass. For every action, there is an equal and opposite reaction.
Therefore, these laws are necessary to fully grasp crash dynamics because they explain how objects respond to outside forces that cause them to accelerate or decelerate.
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prepare a report on why a vehicle needs to be maintained/serviced after a certain period of time. How is servicing different in a petrol/diesel and electric vehicle?
Answers
Vehicles need to be serviced for several reasons such as preventing costly repairs and improving fuel economy.
Why should cars be maintained and / or serviced ?First, regular maintenance can help to prevent costly repairs down the road. Second, maintenance can help to improve fuel economy and emissions. Third, maintenance can help to keep your vehicle safe and reliable.
The servicing requirements for petrol/diesel and electric vehicles differ in a number of ways. Petrol/diesel vehicles require oil changes more frequently than electric vehicles. This is because petrol/diesel engines use oil to lubricate the moving parts, while electric motors do not. Petrol/diesel vehicles also require tune-ups more frequently than electric vehicles.
This is because petrol/diesel engines have more moving parts that need to be synchronized, while electric motors have fewer moving parts.
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Suppose that you measure the length of a spaceship, at rest relative to you, to be 400 m. How long will you measure it to be if it flies past you at a speed of u=0.75c?
The spaceship from Part A has a large clock attached to its side. This clock ran at the same rate as your watch when you were in the same reference frame. How much time ?t will pass on your watch as 80 s passes on the clock attached to the ship?
If the captain of ship A fires a missile, counts 10.0 s on his watch, and then fires a second missile, how much time ?t will the captain of ship B measure to have passed between the firing of the two missiles?
The captain of ship B knows that ship A uses 2-m-long missiles. She measures the length of the first missile, once it has finished accelerating, and finds it to be only 0.872 m long. What is the speed u of the missile, relative to ship B?
Answers
Answer:
The importance of learning is that it helps the individual to acquire the necessary skills through learning and knowledge so that he can achieve his set goals. An important fact about learning is that it is a means to improve knowledge and gain skills that will help in reaching specific goals.
Explanation:
The importance of learning is that it helps the individual to acquire the necessary skills through learning and knowledge so that he can achieve his set goals. An important fact about learning is that it is a means to improve knowledge and gain skills that will help in reaching specific goals.
Select ALL the
correct answers.
Which two examples describe ways that corporations can give large donations to presidential candidates?
A corporation leader makes
direct payment to the candidate.
A corporation creates another company to accept candidate contributions
A corporation collects moneys from its employees to contribute to
A corporation contributes to a Super PAC that
a PAC
accepts contributions
for a candidate,
Reset
Next
Answers
Answer: Hope this helps ;) don't forget to rate this answer !
Explanation:
There are two correct answers:
A) A corporation leader makes direct payment to the candidate.
D) A corporation contributes to a Super PAC that a PAC accepts contributions for a candidate.
Option A describes a scenario where a corporation directly donates money to a presidential candidate, which is allowed as long as it is done within the limits set by campaign finance laws.
Option D describes a scenario where a corporation donates money to a Super PAC, which is a type of political action committee that can accept unlimited donations from individuals, corporations, and other organizations. The Super PAC can then use the money to support or oppose a particular candidate, but it is not allowed to coordinate directly with the candidate or the candidate's campaign.
I hope this helps! Let me know if you have any other questions.
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A spring of spring constant k=500 N/m is elongated from its initial length by a distance x=2 cm, then the force applied by the spring is:
A. F= 3N.
B. F= 10 N.
C. F=500 N.
D. F= 0N.
Answers
Answer:
1.96 kg * m2/s2
Explanation:
I'm assuming that you are asking what is the elastic potential energy stored in the spring at the position stretched by 16.5 cm...
Since you know the spring constant k, 144 N/m and the spring stretch from the equilibrium position x, is 16.5 cm, or 0.165, you find the spring's potential energy from the equation PE = 12kx2, which equals 1.96 Joules, or kg * m2/s2 if you want SI units.
The coefficient of kinetic friction between an object and the surface upon which it is
sliding is 0.40. The weight of the object is 80N. What is the force of friction?
Answers
Given that,
The weight of the object, W = 80 N
The coefficient of kinetic friction between an object and the surface is 0.4.
To find,
The force of friction.
Solution,
The force of friction is given by the formula as follows :
\(F=\mu_k mg\\\\=0.4\times 80\\\\=32\ N\)
So, the required force of friction is 32 N.
An 80 N object experiences a friction force of 32 N when sliding through a surface with a coefficient of kinetic friction of 0.40.
What is friction?Friction (F) is the force that resists the sliding or rolling of one solid object over another.
An 80 N object has a coefficient of kinetic friction with a surface of 0.40. We can calculate the friction force using the following expression.
F = μ × N = 0.40 × 80 N = 32 N
where,
μ is the coefficient of kinetic friction.N is the normal force (here equal to the weight of the object).An 80 N object experiences a friction force of 32 N when sliding through a surface with a coefficient of kinetic friction of 0.40.
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A diver jumps from a 3.0 m board with an initial upward velocity of 5.5 m/s. What is the time the diver was in the air?
Answers
The answer is that the time the diver was in the air is 1.13 seconds.
To determine the time the diver was in the air, we can use the kinematic equation:
Δy = viΔt + 1/2at²,
where Δy is the displacement, vi is the initial velocity, a is the acceleration due to gravity (g), and t is the time.The initial velocity, vi, is given as 5.5 m/s, and since the diver jumps upwards, the displacement, Δy, is equal to the height of the board, which is 3.0 m. The acceleration due to gravity, a, is -9.8 m/s² (negative because it acts downwards).Substituting the known values into the equation:3.0
m = (5.5 m/s)t + 1/2(-9.8 m/s²)t²
Simplifying, we get:
4.9t² + 5.5t - 3.0 = 0
We can solve for t using the quadratic formula:
t = (-5.5 ± √(5.5² - 4(4.9)(-3.0))) / (2(4.9))= (-5.5 ± 1.59) / 9.8= -0.47 s or 1.13 s
Since time cannot be negative, the time the diver was in the air is 1.13 seconds.
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What is energy anything that takes up space and has mass a change in the position of an object a push or pull the ability to cause change in matter
Answers
Energy is that which has the ability to cause change in matter.
What is energy?Energy is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light. Energy is a conserved quantity—the law of conservation of energy states that energy can be converted in form, but not created or destroyed.
So in simple definition we can say that energy is that which has the ability to cause change in matter.
Based on the given statements we can classify them as;
anything that takes up space and has mass - matter.cause a change in the position of an object through push or pull - forcethe ability to cause change in matter - energy.Learn more about energy here: https://brainly.com/question/13881533
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A rectangular block of wood has dimensions 240mm×20.5cm×0.040m. calculate its volume in cm³.
Answers
Answer: 1968 cm3
Explanation: You first need to convert all of your dimensions to the same units.
240 mm = 24 cm
20.5 cm = 20.5 cm
0.04 m = 4 cm
Then volume is Length x width x height = 24 cm x 20.5 cm x 4 cm =
A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?
Answers
The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².
To calculate the average acceleration of the motorcycle, we can use the formula:
Average acceleration = (final velocity - initial velocity) / time
First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.
Converting the final velocity:
Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s
Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:
Average acceleration = (21.67 m/s - 0 m/s) / time
To find the time taken to reach this velocity, we need to use the formula for average speed:
Average speed = total distance/time
Rearranging the formula:
time = total distance / average speed
Plugging in the values:
time = 50 m / 21.67 m/s ≈ 2.31 seconds
Now we can calculate the average acceleration:
Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²
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What happens to a blackbody radiator as it increases in temperature?
Answers
Answer:
it gives off a range of electromagnetic radiation of shorter wavelengths.
Explanation:
I took the test
Answer:it gives off range of electromagnetic radiation for shorter
Wavelengths
Explanation:
what do magnetic field lines look like when two magnets attract?
Answers
Answer:
Explanation:
If 2 magnets are attracting, then the north pole of one magnet is facing the south pole of the other. The magnetic field lines between the two magnets are connected and the direction of flow is north to south.
A liquid having a mall depth but a large volume is forced by an applied pressure p
Answers
What did Europeans, africans and Americans trade as a result for the Colombian exchange
A. Railroad engineering ideas
B. Computer technology
C. Film production techniques
D. Agricultural knowledge
Also under the subject I meant to put social studies not physics.
Answers
Answer: Railroad engineering ideas
Angle R in the picture below is the angle of...
Answers
The angle I can rightly be called the angle of reflection.
What is the law of angle of reflection?The incident ray, the reflected ray, and the normal all reside on the same plane, according to the angles of reflection. This suggests that reflection may occur when two angles are in the same plane as the normal.
The angle I and depicted can appropriately be referred to as the angle of reflection in light of the aforementioned information.
Lastly, it is obvious from the image that angle I is the angle of reflection.
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How can we show that air can do work?
Answers
Air can do work when it exerts a force on an object and causes it to undergo displacement. The ability of air to do work is evident in various phenomena, such as wind pushing sails, fans moving objects, and air pressure powering pneumatic systems.
Air can do work through its ability to exert a force over a distance. Work is defined as the transfer of energy that occurs when a force is applied to an object and it undergoes displacement in the direction of the force. When air is in motion, it possesses kinetic energy and can exert a force on objects in its path, thus performing work.
To understand how air can do work, we can consider the example of a moving fan. When a fan is turned on, the blades start to rotate, creating a flow of air. As the air moves, it carries kinetic energy. When the moving air encounters an object, such as a piece of paper, the air molecules collide with the paper's surface and exert a force on it. This force causes the paper to move and displaces it from its initial position.
The work done by the air can be calculated using the equation:
Work = Force * Distance * cos(θ)
Where Force is the magnitude of the force exerted by the air, Distance is the displacement of the object, and θ is the angle between the direction of the force and the displacement.
In the case of air doing work on an object, the force exerted by the air is perpendicular to the direction of motion, resulting in θ = 90 degrees. Since cos(90) = 0, the equation simplifies to:
Work = Force * Distance * 0
Therefore, the work done by the air on the object is zero when the force exerted by the air is perpendicular to the displacement.
However, if the force exerted by the air is not perpendicular to the displacement, such as when blowing air at an angle to move an object, then work is performed. The air exerts a force on the object and causes it to move in the direction of the force, resulting in the transfer of energy.
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HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Answers
Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.
To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.
In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.
To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.
Total cost covered by the five friends = Total cost - Cost of one person's meal
= (£12 x 6) - £12
= £72 - £12
= £60
Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).
Amount each friend needs to pay = Total cost covered by the five friends / Number of friends
= £60 / 5
= £12
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before leaving earth, the mass if an astronaut is measured to be 60kg. the astronaut lands on the moon and measures the acceleration of gravity to be 1.6 m/s^2. what is the mass of the astronaut at moon?
Answers
Answer:
The answer is 2,475$+948= add you will get the answer rn
The weight we experience on a surface is the product of our mass and acceleration due to gravity on that surface. The mass of the astronaut in earth was 60 kg . Then his mass at moon will be 9.76 kg.
What is gravitational force ?The gravitational force is the force by which an object attracts other objects into its center of mass. Earth attracts every objects into its center. That why we are all standing on the ground.
The weight we experience on earth is due to the gravity. That is the product of mass and acceleration due to gravity of a planet is the weight on the planet.
The weight of astronaut in earth = 60 kg
acceleration due to gravity on earth = 9.8 m/s²
mass = 60/9.8 m/s² = 6.19 kg
Acceleration due gravity on moon = 1.6 m/s²
then weight on moon = 1.6 m/s² ×6.19 kg = 9.7 kg.
Therefore, the weight of the astronaut in moon will be 9.7 kg.
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Magnesium in group 2 has an oxidation number of +2. Which group would it easily react with?
Group 13
Group 1
Group 18
Group 16
Answers
Answer:
I think 18 not entirely sure though
Explanation:
Group 18 are the noble group so 16 + 2 = 18
two light sources illuminate a screen as shown. the sources are in phase and have the same wavelength, but source a is more intense than source b. the screen is far enough from the sources that each source individually illuminates the screen uniformly (the same intensity everywhere on the screen). when only source a is on, the intensity on the screen is ia
Answers
When only source A is on, the intensity of the light on the screen is ia, which is the intensity of light from source A.
What is intensity?Intensity is a measure of the strength or power of a stimulus, usually referring to sound, light, or a force. It is measured in terms of the amount of energy or power per unit area, and is often expressed in decibels (dB) for sound, or watts per square meter (W/m2) for light. Intensity is an important concept in physics, as it affects the way energy is transmitted and absorbed. In everyday life, intensity can be used to describe the volume or brightness of a sound or light, or the strength of an emotion or feeling.
This is because the screen is far enough from the sources that each source individually illuminates the screen with the same intensity everywhere on the screen. Since source A is more intense than source B, the intensity of light on the screen from source A would be higher than from source B.
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A candle is placed in front of a concave mirror as it is shown . State the image characteristics (SALT)
Answers
As a result, the picture behind the mirror is virtual, upright, and enlarged.
What does SALT in concave mirrors stand for?You will find that the properties of an image (SALT) created in a concave mirror depend on the object's position. A) if the item is larger than C. Size, attitude, and location are all important considerations.
The image will be true, but reversed and much reduced. To obtain a crisp flame image, move the burning candle towards the mirror while moving the screen away from it. The size of the inverted picture grows.
Concave mirrors may create both physical and virtual images. A virtual and enlarged picture is produced when the item gets closer to the mirror. When the item is placed further away from the mirror,.
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Hey I really need help on this I don’t understand. Can you help plssssssssssss
Answers
6) pe=mgh=(15)(9.8)(3)=441J
7) pe=mgh
(pe)/(mg)=h= (100)/((5)(9.8))=2.03m
8) pe=mgh
(pe)/(mh)=h=(0)/((10)(40))=0
9)pe=mgh
h=(pe)/(mh)=(102)/((10)(10))=1.02m/s2
Question 1
Given an object's momentum and velocity, which equation can be used to
calculate the object's mass?
V
○ A. m-p
B. m=
vp
1
C. m-P
D. m-pv
Answers
Answer:
Explanation:
m=p/v
where m is mass, p is momentum and v is velocity
A car starts from rest and accelerates at a constant rate in a straight line. In the first second the car moves a distance of 2.0 meters. How much additional distance will the car move during the second second of its motion?
Answers
Since the car is accelerating at a constant rate, the distance it travels during each second of its motion will be directly proportional to the time it has been accelerating.
In the first second, the car moved a distance of 2 meters, and in the second second, it will move twice the distance of the first second, so the car will move additional distance of 2*2 = 4 meters during the second second of its motion.
The distance traveled during the second second of its motion is 1/2 * 2 = 1 meters.
A car that accelerates at a constant rate will move a distance equal to the initial velocity multiplied by time plus 1/2 the acceleration multiplied by the square of time. Since the car starts from rest, the initial velocity is zero.
Therefore, the distance traveled during the second second is 1/2 * acceleration \(* (time)^2 = 1/2 * a * t^2 = 1/2 * a * 1^2 = 1/2 * a\) Since the car moved 2.0 meters in the first second, it means the acceleration is\(2m/s^2\), and the distance traveled during the second second is 1/2 * 2 = 1 meters.
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A piece of aluminum is attached to a piece of string that is tied to a handing scale. When the aluminum is hanging in air, the scale reads 190N. What will that scale read if the aluminum is hanging in fresh water?
Answers
The scale will register less than 190N if the aluminum is hanging in fresh water. The weight of the piece of aluminum is reduced as it is submerged in water due to the buoyant force that opposes the force of gravity, so the scale's reading will be less than 190N.
When a piece of aluminum is attached to a string that is fastened to a hanging scale, the scale will show 190N when the aluminum is hanging in the air. The hanging aluminum has a weight of 190N because the force of gravity acts on it. The buoyant force of water, on the other hand, opposes the force of gravity on an object immersed in it.
The buoyant force is equal to the weight of the water displaced by the aluminum's volume. Therefore, the aluminum's weight decreases when it is submerged in water. The scale will read less than 190N because it is determined by the sum of the force of gravity and the buoyant force. Since the buoyant force counteracts the force of gravity, the scale's reading is less than when the aluminum is hanging in air. The scale's reading is determined by the aluminum's weight plus the buoyant force in water.
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