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A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? (1 point)

15 in3
20 in3
25 in3
30 in3

1 Answer

5 votes

Answer:

15 in³

Explanation:

For cone:

V = (1/3)πr²h

For cylinder:

V = πr²h

The formulas are the same except for the 1/3 fraction in the formula for the volume of a cone. Since the formula for the cylinder does not have the fraction 1/3, if a a cylinder and a cone have the same radius and height, then volume of the cylinder is 3 times greater than the volume of the cone.

5 cu in. * 3 = 15 in.³

Answer: 15 in.³

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