A rectangular tank that is 3 feet long, 2 feet wide and 15 feet deep is filled with a heavy liquid that weighs 60 pounds per cubic foot. In each part below, assume that the tank is initially full. Your answers must include the correct units.
(a) How much work is done pumping all of the liquid out over the top of the tank?
(b) How much work is done pumping all of the liquid out of a spout 4 feet above the top of the tank?
(c) How much work is done pumping two-thirds of the liquid out over the top of the tank?
(d) How much work is done pumping two-thirds of the liquid out of a spout 4 feet above the top of the tank?