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

the volume of the cylinder is

\[V_{cylinder} = \pi r^2h\]

the cone with the same height and radius is

\[V_{cone} = \frac{1}{3} \pi r^2 h\]

using a little substitution you can find

\[V_{cone} = \frac{1}{3} \times V_{cylinder}\]

since you know the volume of the cone it should be easy to find the volume of the cylinder..