A cone with height 12 ft and radius 6 ft, pointing downward, is filled with water to a depth of 3 ft. All of the water will be pumped out over the top of the cone. The density of water is 62.4 lb/ft3. (a) Consider a slice of water that is deltah ft thick and located h ft from the bottom of the cone. Use Delta or the CalcPad for delta. Leave pi in your answer. Volume of slice a ft3 Displacement of slice a 12 - h ft (b) Find the endpoints of the integral needed to find the exact work required to pump all the water out over the top. Lower endpoint = 0 A Upper endpoint = 3