A cone with radius 4 feet is shown. It's approximate volume is 165 cubic feet.

Enter the height of the cone, in feet. Round your answer to the nearest hundredth

3 * Cone Volume = [PI * radius^2 * height] / 3

height = 3 * Cone Volume / [PI * radius^2]

height = 3 * 165 / [PI * radius^2]

height = 495 / 50.2654824574

height = 9.8477121038 which rounds to

height = 9.85

Answer: h = 9.85 ft

Explanation:

The volume of a cone = 1/3 π r² h

165 = 1/3 π (4) ² h

165 = (16/3 π) h

h = 165 : (16/3 π)

h = 9.85 ft