Question

A quarter cone has a diameter of 16 and a height of 10. What is the approximate volume of the quarter cone? Round to the nearest tenth where necessary.

Answer 1

167.6 units^3

Explanation:

Find the volume of the entire cone, and then divide the result by 4 to obtain the volume of the quarter cone:

Formula for the volume of a cone is V = (1/3)(base area)(height)

In this case the volume of the entire cone is V = (1/3)(pi)(8)^2*(10), or

670.21.

Taking 1/4 of this, we get the volume of the quarter cone:

670.21/4 = 167.6 units^3