Calculate the work (in joules) required to pump all of the water out of a full tank. The density of water is 1000 kilograms per cubic meter. Assume the tank
(a) is shaped like an inverted cone of radius 5 meters and height 10 meters where the spout is connected to a 2 meter tube extending vertically above the tank.
(b) is shaped like a horizontal cylinder of radius R and height H where the spout is connected directly to the top of the tank.
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