Question

What is the EXACT volume of this composite figure? *

Captionless Image

A

B

C

Answer 1

324pi

Explanation:

V of sphere = 4/3 x pi x r^3

V of cone = pi x r^2 x h x 1/3

4/3 x pi x 6^3 = 288 pi

pi x 6^2 x 15 x 1/3 = 180 pi

since the sphere is cut in half = 288/2 = 144

144 pi + 180 pi = 324 pi