Water in a vertical cylinder of height 9 ft and radius 2 ft is to be pumped out. The density of water is 62.4 lb/ ft^3. Find the exact work required under each of the following conditions.

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

(b) The tank is full of water and the water must be pumped to a height 2 ft above the top of the tank.

(c) The depth of the water in the tank is 4 ft and the water must be pumped over the top of the tank.

Question

Water in a vertical cylinder of height 9 ft and radius 2 ft is to be pumped out. The density of water is 62.4 lb/ ft^3. Find the exact work required under each of the following conditions.


(a) The tank is full of water and the water is to be pumped over the top of the tank.

(b) The tank is full of water and the water must be pumped to a height 2 ft above the top of the tank.


(c) The depth of the water in the tank is 4 ft and the water must be pumped over the top of the tank.