Find the volume of a right circular cone that has a height of 18.9 in and a base with a
circumference of 15 in. Round your answer to the nearest tenth of a cubic inch
Answers
Answer:
The volume of the cone is:
112.6 cubic inches.Step-by-step explanation:
You should know that the volume of a straight circular cone is equal to:
Cone volume = (1/3) PI * r ^ 2 * hWhere:
r = radius.
h = height.
Since the radius and diameter are not provided in the exercise but the circumference, the circumference formula should be used and the diameter must be cleared:
Circumference = PI * Diameter.When clearing you get:
Diameter = circumference / PIBy replacing the data you get:
Diameter = 15 inches / PI Diameter = 4.77 inches.Since the radius is equal to half the diameter, then the diameter is equal to 2,385 inches, now having the value of radius we proceed to replace in the volume formula:
Cone volume = (1/3) PI * 2.385 in^2 * 18.9 in Cone volume = 112.581541 in^3 Cone volume = 112.6 in^3Answer:
112.8 in
Step-by-step explanation:
Related Questions
Pls help, 20 points! A number cube is rolled d360 times, and the results are recorded as follows: 96 ones, 31 twos, 49 threes, 76 fours, 45 fives, and 63 sixes. What is the experimental probability of rolling a 2 or a 3?
It would help if you could put the answer in decimal form but you don't have to :D
Answers
Answer:
The experimental probability of rolling a 2 or a 3 is 2/9 or 0.222222 (go as long as you like :D)
Step-by-step explanation:
Total number of times cube roller = T = 360,
we have 96 ones, 31 twos, 49 threes, 76 fours, 45 fives, and 63 sixes
The probability of rolling a 2 is,
since we get 31 twos out of 360 rolls,
P(2) = 31/360
The probability of rolling a 3 is,
since we get 49 threes out of 360 rolls,
P(3) = 49/360
the experimental probability of rolling a 2 or a 3 is the sum of these two,
so,
P(2 or 3) = P(2) + P(3) = 31/360 + 49/360 = 80/360 = 2/9
P(2 or 3) = 2/9
In decimal form, P(2 or 3) = 0.2222222
The experimental probability of rolling a 2 or a 3 is 2/9 or (0.2222) .
The number of times a 2 or a 3 was rolled is the sum of the occurrences of twos and threes,
P(2) = 31
P(3) = 49
P(2) + P(3) = 31 + 49 = 80.
The total number of rolls is given as 360.
Now, calculate the experimental probability:
Experimental probability of rolling a 2 or a 3 = Number of times a 2 or a 3 was rolled / Total number of rolls
P(2 or 3) = 80 / 360
After simplifying the fraction:
Experimental probability of rolling a 2 or a 3 = 2/9
Therefore, the experimental probability of rolling a 2 or a 3 is 2/9.
Learn more about Experimental Probability:
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What are the first four terms of a geometric sequence if its common ratio is 5 and its first term is 2.5?
2.5, 7.5, 12.5, 17.5
2.5, 0.5, 0.1, 0.02
2.5, 12.5, 62.5, 312.5
2.5, -2.5, -7.5, -12.5
Answers
Answer:
C
Step-by-step explanation:
I think
Answer: C: 2.5, 12.5, 62.5, 312.5
Step-by-step explanation:
Let us remember that in a geometric sequence:
ratio = \(\frac{a_{2} }{a_{1}}\)
We know that \(a_{1}\) (first term) is 2.5. So plug in the numbers into the above formula:
5 = \(\frac{a_{2} }{2.5}\)
Multiply both sides by 2.5 to solve for \(a_{2}\) (second term):
5 × 2.5 = 12.5
By process of elimination, it is obvious the correct answer is C.
We can double check your answer by checking the rate is 5 by dividing:
For example, 62.5 (\(a_{3}\)) divided by 12.5 (\(a_{2}\)) is appropriately 5.
Similarly, 312.5 (\(a_{4}\)) divided by 32.5 (\(a_{3}\)) is again 5, confirming our answer to be correct.
helppppppppppppppppppppppppppppppp
Answers
Answer:
Step-by-step explanation:
Hi hru?
10 customers entered a store over the course of 8 minutes. At what rate were the customers entering the store in minutes per customer ?
Explanation please
Answers
Answer:
1.2 people per minute
Step-by-step explanation:
because you need to divide 10 and 8 which equals 1.2
Answer:
1.25 per minute
Step-by-step explanation:
10 ÷ 8= 1.25
Please help with this question please.
Answers
Option d. m>7 is the correct answer.
Given,
2m+5>19
or, 2m+5+(-5)>19+(-5) [adding both side with a negative number doesn't
change the inequality sign]
or, 2m>14
or, (2m/2)>(14/2) [also dividing both sides by a non-negative number doesn't change the inequality sign]
or, m>7.
Hence, m>7 is the correct answer to the given question.
Learn more about inequality problems,
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Please help me I will give you the brain thing and extra points, image below for graph.
This scatter plot shows the number of hot drinks sold and the temperature outside.
Choose the statement that is best supported by the data in the scatter plot.
The data shows a positive linear association between the number of hot drinks sold and the temperature outside.
The data shows no apparent association between the number of hot drinks sold and the temperature outside.
The data shows a non-linear association between the number of hot drinks sold and the temperature outside.
The data shows a negative linear association between the number of hot drinks sold and the temperature outside.
Answers
A kangaroo hops to a height of 1 m 8 cm and moves a distance of 2 m 50 cm in one hop. What is the difference between the height and the distance it covers ?
Answers
Answer: 1m42cm
Step-by-step explanation:
Distance - height = 2m50cm - 1m08cm = 1m42cm
Can somebody help me.......
Answers
Answer:
540+2+2
Step-by-step explanation:
Step by step explanation:
On a piece of paper, use a protractor to construct △ABC with m∠A=30° , m∠B=60° , and m∠C=90° .
Which statements about the triangles are true?
Select each correct answer.
AC BC
AC>AB
Answers
Answer:
BC > AC and BC < AB.
Step-by-step explanation:
Given that,
To construct △ABC with m∠A=30°, m∠B=60°, and m∠C=90°.
We have to find,
The statements about the triangles are true.
According to the question,
In △ABC
This means that the side opposite to the right angle in the triangle is AB.
Since, the side opposite to the right angle is the hypotenuse and is the longest side of the triangle, thus AB cannot be shorter than any other side of the triangle.
Then, BC < AB.
And, In the triangle △ABC ,
tan60° =
tan60° =
By comparing the equations,
Then, BC > AC
Hence, The required correct statement in △ABC are BC > AC and BC < AB
Answer:
ac<ab & ac>bc
Step-by-step explanation:
Bozo above me was wrong.
Earn points, answer both questions!
Answers
Answer:
Area of five squares = 1289.09 square units
Perimeter = 194.6 units
Step-by-step explanation:
Area of square and perimeter:
First find the length of each square, then find the area of each square.
To find the area of five squares, add all the area of each square.
Side of square1 = 27 units
\(\sf Side \ of \ square2 = \dfrac{2}{3}*27=2*9 = 18 \ units\\\\Side \ of\ square3= \dfrac{2}{3}*18=2*6=12 \ units\\\\Side \ of \ square4=\dfrac{2}{3}*12=2*4=8 \ units\\\\Side \ of \ square5=\dfrac{2}{3}*8=\dfrac{16}{3}=5.3 \ units\)
Area of square1 = 27*27 = 729 square units
Area of square2 = 18*18 = 324 square units
Area of square3 = 12*12 = 144 square units
Area of square4 = 8*8 = 64 square units
Area of square5 = 5.3*5.3 = 28.09 square units
Area of five squares = 729 + 324 + 144 + 64 +28.09
= 1289.09 square units
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Perimeter of the composite figure = (27 + 27+27+9) + (18+18+6) +(12+12+4) + (8+8+2.7)+ (5.3+5.3+5.3)
= 90 + 42 + 28 + 18.7 + 15.9
= 194.6 units
the perimeter is 194.6 units
i need help with this imagine math lesson or i fail math
Answers
Answer:
Fill in the blank 1: -23
Fill in the blank 2: -33
Fill in the blank 3: 23
Fill in the blank 4: 10
Step-by-step explanation:
The first fill in the blank is solved by adding -23 or subtracting 23 from -13 to equal the other side of the equation. The second fill in the blank is solved by adding -23 and -13, which would get you -33 (assuming that you're supposed to solve the right side of the equation). The 3rd fill in the blank is solved by adding the opposite of -23 to the right side of the equation (23). The 4th fill in the blank is solved by adding -13 and 23 together which make 10.
Answer:
1. -23
2. -33
3. 23
4. 10
Step-by-step explanation:
Marcy deposits $320 in an account that earns 3.5% simple interest per year. What is the balance in the account after 4 years?
Answers
Answer:
364.80 hope this helps!
Step-by-step explanation:
The balance in the account after 4 years is $364.80.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.
Simple Interest = (Principal × Rate × Time) / 100
We need to find the interest, then add the interest to the principal.
It can be calculated by;
interest = principal x rate x time
interest = 320 x 0.035 x 4 = 44.80
This is the simple interest.
To find account balance:
The account balance = principal + interest
320 + 44.80 = 364.80
The balance in the account after 4 years is $364.80.
Learn more about simple interest here;
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Drag any six numbers into the empty boxes.
Your goal is to create an expression as CLOSE TO ZERO as possible.
7,9,4,1,2,3,5,6,8
_.__ - _.__
Answers
Answer:
0.14 is the lowest answer you can get
Step-by-step explanation:
try putting in:
4.12 - 3.98
5.12 - 4.98
5.98 - 6.12
there's no way to get any lower
Bruce’s hourly wage increased from $15.00 to $18.60. What percent of change does this represent?
Answers
Step-by-step explanation:
15.00_____100percent
18.60_____124 percent.
it increased witf 24 percent
Answer:
0.2% increase
First, you find the change between $15.50 and $18.60, which is 3.10. Then you do 3.10 divided by the original, which is 15.50. You should get 0.2.
Step-by-step explanation:
would somebody do these for 100 points
Answers
-y=-14-25
-y=-39
y=39
4.x+24=72
x=72-24
x=48
7. 0.53+a=1.97
a=1.97-0.53
a=1.44
2.67=m-29
-m=-29-67
-m=-96
m=96
5. p-13=-45
p=-45+13
p=-32
8. 1 3/4=b+ 5/8
7/4=b+5/8
-b=5/8-7/4
-b=-9/8
b=9/8
3. d-1/3=1/6
d=1/6+1/3
d=1/2
6. x-36=-2
x=-2+36
x=34
9. a+5.7=9.2
a=9.2-5.7
a=3.5
2. 96=m
3. D=1/2
4. 48=x
5. -32=p
6. 34=x
7. A=1.44
8. B= 21/8
9. 3.5=A
You pick a card at random. 6 7 8 9 What is P(divisor of 70)? Write your answer as a percentage. %
Answers
Answer:
Step-by-step explanation:
I know this question is not about math or science but my friends are saying the Leonardo DiCaprio when he was young is hotter than Zac Efron now and when he was young. I need y’alls opinions.
Who is hotter, young Leonardo DiCaprio or 35 year old Zac Efron? My pick is Zac Efron but I want some opinions.
Answers
Answer:
it's Zac Efron for sure, Leonardo DiCaprio is just not the same...
Adrian is buying a sweatshirt with a $40 price tag. The store is having a sale that will reduce the price by 35%. Sales tax of 6% will be added to the final purchase price, What is Adrian's total cost for the sweatshirt?
Answers
$27.56
40 - 35% + 6% = 27.56
I hope that helps!!!
The shaded numbers show a pattern in the multiplication table. Which
expression can find the number that comes next in the pattern?
Xo 1 2 3 4 5
0 0 0 0 0 0 0
10 1 2 3 4 5
2 0 2 4 6 8
3 0 3 6 9 12
4 0 4 8 12 16
5 0 5 10 15 20 25
25 X4
25 + 11
25 +
1
25 +1
25 x 6
25 x 6
Answers
Answer:
25 + 11
Step-by-step explanation:
As it is summing up by odd numbers
so 16+9 is 25
and then 25 + 11 as eleven is the next odd number after 9
Answer: 25+11
HOPE THIS HELPS
The product of two natural numbers equals 2^3*3^4*5^2*7. What is the two numbers' greatest common factor?
Answers
Answer:
The numbers also share one copy of 3, one copy of 5, and one copy of 7. 2940: 2×2×3 ... Consider two smaller numbers, 4 and 8, and their LCM. The number 4 ...
Step-by-step explanation
Answer:
Step-by-step explanation:
You can't really tell what the two numbers are. They could be any combination of 2s for example
The first number could have no twos or 3 twos.
The second number could have the same values reversed. The givens don't confine us in any way. The only thing that is not a common factor in both numbers is 7 since there is only 1 of them.
Let us suppose the the first number is 2 * 2 * 3 * 3 *7 * 5
And the second number is 2 * 3 * 3 * 5
The highest common factor would be 2 * 3 * 3 * 5 = 90
However you could rearrange them like this
The first number = 2*3 * 7
The second number = 2 * 2 * 3*3*3 * 5 * 5
The highest common factor is 2*3 = 6
I don't think there is a unique answer to this.
Your family Used two full tanks of gasoline on a road trip. Your car drives about 25 miles per gallon on a road trip. Your car drives about 25 miles per gallon and the tank holds 12 gallons of gasoline.
1. Find the Approximate Number of gallons of gasoline used on the trip.
2. Find the approximate Number of miles you drove on the trip.
3. Assume Gasoline costs $4.50 per gallon. How much did you spend per mile on Gasoline?
4. You have $60 to spend on gasoline for another trip. The trip is 350 miles. You spend the same amount per mile on gasoline as on the first trip. Do you have enough money for gasoline? Explain
Please explain how to get the answer. In simple words please so I can understand.
Answers
Answer:
1 : 24
2: 600
3: 112.5
4: no i need 63 $
Step-by-step explanation:
1: 12*2=24
2: 24*25=600
3: 24*4.5=112.5
4:350 miles = 14 galoon=14*4.5=63$
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
Answers
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
The length of a rectangular garden is 20 feet and the width is 15 feet. What is ratio of length to width?
Answers
Answer: 4:3 because 20 divided by 5 is 4 and 15 divided by 5 is 3.
120% of x is equal to 78.
Write an equation that shows the relationship of 120%, x, and 78.
Answers
The composite shape is made up of two different rectangles and two different triangles. What is the area of the composite shape in unites squared?
Answers
Answer:
43 unit²
Step-by-step explanation:
Sorry for the bad handwriting ;-;
Help me with PART B!!! Use image to help!!
Answers
Answer:
I think 4 players
Step-by-step explanation:
First, you multiply by two on the denominator and numerator. Then, you'll have 4/18. 18 being the total amount of players and 4 being the amount of players who like the wood bat.
How many sides do 4 nonagons and 4 triangles have in all?
Answers
Answer: Regular nonagon has 9 sides. 9×9×9×9 is 6,561 which is the total of 4 nonagons. A regular triangle has 3 sides. 3×3×3×3 is 81 which is the total of 4 triangles. When you add 6,561 and 81 together, it's 6,642. Therefore, 6,642 is the 4 nonagons and 4 triangles in total.
Arwa is playing 'Guess my number'. Arwa says: 'If I add 0.4 to my number, divide the answer by 8, then multiply that answer by 9, I get 0.9.' What is Arwa's number?
Answers
meaning, if you divide 0.9 by 9, you get 0.1. when you multiply 0.1 and 8 you get 0.8. and when you subtract 0.4 from 0.8 you get your answer, 0.4.
please help 40 POINTS
Answers
Answer:
2 2/3 bottles of soda
Step-by-step explanation:
(2/9)*12=
24/9=
2 6/9=
2 2/3
Headphones are made in a factory. After the headphones are tested, each pair of headphones are packed in a small box. Each small box is ¼ cubic foot. How many boxes of headphones can fit into a truck with a cargo compartment of 60 Cubic feet
Answers
Answer:
240
Step-by-step explanation:
1/4 cubic meter = 1 box
60 cubic meter = x boxes
you cross multiply
1/4x = 60
divide both sides by 1/4
x = 60 ÷1/4
x = 60 × 4
x = 240