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

Question

Mathematics

Samson Christian

21 March, 06:36

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

+5

Answers (2)

Know the Answer?

Tori Aguirre · Answer 1

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

Hurley · Answer 2

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

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

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