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 a cone is

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

volume of a cylinder is

\[V = \pi r^2h\]

so if they both have the same height and radius....

then the formula says the cone is 1/3 of the cylinder...

so multiply the cone by 3 to get the volume of the cylinder