Question

What is the EXACT volume of this composite figure?

324 pie in^3
468 pie in^3
684 pie in^3
828 pie in^3

Answer 1

324π in.³

Explanation:

The figure is a cone and a half sphere.

V = (1/3)πr²h + [(4/3)πr³]/2

V = (1/3)π(36 in.²)(15 in.) + (2/3)π(216 in.³)

V = [180π + 144π] in.³

V = 324π in.³