A bowl is shaped like a hemisphere with diameter 24 cm. A ball with diameter 8 cm is placed in the bowl and water is poured into the bowl to a depth...

A bowl is shaped like a hemisphere with diameter 24 cm. A ball with diameter 8 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. Find the volume V of water in the bowl. Consider two cases: one in which the ball is not completely submerged and the other in which it is.