Water in a cylinder of height 11 ft and radius 4 ft is to be pumped out. The density of water is 62.4 lb/ft${}^3$. Find the work required if

(a) The tank is full of water and the water is to be pumped over the top of the tank.

Work =
(include units)

(b) The tank is full of water and the water must be pumped to a height 6 ft above the top of the tank.

Work =
(include units)

(c) The depth of water in the tank is 6 ft and the water must be pumped over the top of the tank.

Work =
(include units)