A hemispherical tank of water (radius 10 ft) is being pumped out. Find the work done in lowering the water level from 2 feet below the top of the tank to 4 feet below the tank given that the pump is placed a) at the top of the tank and b) the pump is placed 3 feet above the top of the tank. Clearly indicate how force and distance are represented and indicate where the 0 position is on the diagram. Density of water is 62.4 pounds per cubic foot.
a) to the rim of the tank
b) 3ft above the rim of the tank
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