Question

he large sphere has a diameter of 12 feet.

A large sphere has a diameter of 12 feet. A smaller sphere with a radius of 3 feet is cut out of the center of the larger sphere. The shaded area if the remaining area of the larger sphere.

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

252π ft3
261π ft3
288π ft3
324π ft3

Answer 1

Volume = volume of outer sphere − inner sphere = (4/3)π(6^3 − 3^3) = (4/3)π(216 − 27) = (4/3)π(189) = 252π ft^3.

Answer: 252π ft^3.