Question

You are designing a container in the shape of a cylinder. The radius is 6 inches. You want the container to hold at least 324π324π cubic inches. What is the least possible height of the container?

Answer 1

The least possible height is the height of the cylinder when the volume is 324π cubic inches. To determine that height, we use the formula for the volume of a cylinder. We do as follows:

Volume = πr^2h
324π = π(6)^2(h)
h = 9 inches