An underground tank is a hemisphere with radius 4 feet (i.e. itis half a sphere, and so horizontal cross-sections are circles ofvarying radius). It is filled to the top with oil weighing 45 lbper cubic foot. The top of the tank is at ground level, and the oilin the tank is pumped to a height of 10 feet above ground level.How much work is done? Set up the integral, but then just use yourcalculator to evaluate it. The picture is a two-dimensional pictureof a vertical cross-section (through the center) of the tank.
