A tank containing oil is in the shape of a downward-pointing cone with its vertical axis perpendicular to ground level. In this exercise we will assume that the height of the tank is 8 ft, the circular top of the tank has radius of 4 ft, and that the oil inside the tank weighs 57 lb per cubic ft.
How much work does it take to pump oil from the tank to an outlet that is 1 ft above the top of the tank if, prior to pumping, there is only a half-tank of oil? Note: "half-tank" means half the volume in the tank.
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