Question

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

Answer 1

volume of cylinder = 24
volume of a cone = 1/3(volume of cylinder) = 1/3 (24) = 8

answer
8 cubic inches

Answer 2

volume of cone is 8 cubic inches.

Explanation:

We have been given that volume of cylinder = 24 cubic inches.

Since, cone fits exactly inside of the cylinder hence, we have

Volume of cylinder = volume of cone

Now, we know the formula

Volume of cone =
`(1)/(3)\pi r^2h`

Volume of cylinder =
`\pi r^2h`

Now, we have been given that

`\pi r^2h=24`

Therefore, we have

Volume of cone is given by

`(1)/(3)*24\\\\=8`

Hence, volume of cone is 8 cubic inches.