Question

A cone has a volume of 12 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

Answer 1

36, because a cylinder is 3 times bigger than a cone when it has the same base and height.

Answer 2

36 cubic inches is the answer.

Explanation:

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

And Volume of cylinder is given as = V =
`\pi r^(2) h`

This means, the volume of cylinder is 3 times the volume of cone. Or we can also say that volume of cone is one-third the volume of cylinder.

So, here we have been given, the volume of cone as 12 cubic inches.

So, the volume of the cylinder that will be equivalent to cone's volume will be three times 12.

V=
`12*3=36`

Hence, the volume of the cylinder must be 36 cubic inches.