A bowl is shaped like a hemisphere with diameter 30 cm. A ball with diameter 10 cm is placed in the bowl and water is poured into the bowl to a depth of $h$ centimeters.

(a) Find the volume (in cubic centimeters) of water in the bowl if the ball is not completely submerged $(0 \le h \le 10)$.

Volume = cubic centimeters

(b) Find the volume (in cubic centimeters) of water in the bowl if the ball is completely submerged $(10 \le h \le 15)$.

Volume = cubic centimeters