The large sphere has a diameter of 12 feet.

Radius of the small sphere is 3 ft

What is the volume of the shaded figure? Express the answer in terms of π.

a) 252π ft3

b) 261π ft3

c) 288π ft3

d) 324π ft3

Answer: 252pi ft3

A large sphere of diameter 12 ft (radius = 6ft) and a small sphere inside with a radius 3ft. To find the volume of shaded part, we must subtract the volume of the smaller sphere from the large sphere.

Volume of sphere = (4/3) pi (r3)

Volume of shaded part = Volume of large sphere - Volume of small sphere

= (4/3) (pi) (6*6*6) - (4/3) (pi) (3*3*3)

= 252 pi ft^3