A circular swimming pool has a diameter of 12 meters, the sides are 4 meters high, and the depth of the water is 3.5 meters. The acceleration due to gravity is 9.8 $m/s^2$ and the density of water is 1000 $kg/m^3$.
How much work is required to:
(a) pump all of the water over the side?
(b) pump all of the water out of an outlet 3 m over the side?
Your answers must include the correct units.