Question

The large sphere has a diameter of 20 feet.

A large sphere has a diameter of 20 feet. A smaller sphere with a radius of 4 feet is cut out of the center of the larger sphere.

Which expression represents the volume, in cubic units, of the shaded part of the sphere?

Four-thirdsπ(103) + Four-thirdsπ(43)
Four-thirdsπ(103) – Four-thirdsπ(43)
Four-thirdsπ(203) + Four-thirdsπ(43)
Four-thirdsπ(203) – Four-thirdsπ(43)

Answer 1

Volume of remaining part = volume(large) − volume(small) = (4/3)π(10^3) − (4/3)π(4^3).

So the correct choice is: Four-thirdsπ(103) – Four-thirdsπ(43) (which equals 1248π).