A Swimming Pool Is Circular with A $60$ -Ft Diameter $3$ Ft at the South End To

Multiple Choice

A swimming pool is circular with a $60$ -ft diameter. The depth is constant along east-west lines and increases linearly from $3$ ft at the south end to $9$ ft at the north end. Find the volume of water in the pool.

A) $5410 \pi \mathrm { ft } ^ { 3 }$
B) $5500 \pi \mathrm { ft } ^ { 3 }$
C) $5400 \pi \mathrm { ft } ^ { 3 }$
D) $5600 \pi \mathrm { ft } ^ { 3 }$
E) $5700 \pi \mathrm { ft } ^ { 3 }$