Question

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

Answer 1

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

Answer 2

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