Question

A cone has a volume of 24 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

Answer 1

It is 3 times the volume of the cone, so it is 72 cubic inches

Answer 2

Explanation:

Since cone has to fit exactly inside of a cylinder

(1) radius of cone will be same as radius of cylinder

(2) height of cone will be same as height of cylinder

volume of cone is V=
`(1)/(3) \pi r^2h`

volume of cylinder V =
`\pi r^2h`

that is volume of cylinder is three times volume of cone

which gives volume of cylinder = 3 (24 cubic inches ) = 72 cubic inches