The manager of the theater wants to sell the popcorn in a cone with a diameter of 7 inches. What does the height of the cone need to be in order to hold the same amount of popcorn as the cylinder?

Answer 1

assuming the cylinder also has diameter 7, then if the cone has height h and the cylinder has height k, you need

π/3 * r^2 h = π * r^2 k
h/3 = k

The cone needs to be 3 times as tall as the cylinder