A spherical tank full of oil has a radius of 20m and has a 2m spout at the top. Note that the density of the oil is p = 900 kg/m and the acceleration due to gravity is g = 9.8 m/s. (Approximate answers acceptable for all parts) (a) How much work is needed to pump all of the oil out of the top of the tank? (b) How much work is needed to pump out the top so the remaining oil has a depth of h meters? (c) What is the depth of the oil in the tank after 100,000,000 J of work has been done?