Set up integrals to compute the total volume in m^3 of and the total work in Joules to pump all of the water out of the following tanks. Assume that the density of the water is a uniform 1000 kg/m^3 and that the acceleration due to gravity is a constant 9.8 m/s^2.
b.) An inverted, square-based pyramid (top side length 6 * sqrt(2) m, bottom side length 3 * sqrt(2) m, height 3 m), completely filled to the top with water and pumped just over the side of the tank.
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