1. The problem statement, all variables and given/known data A spherical water tower 40 ft in diameter has its center 120 ft above the ground. That means, there is a 120 ft pole connected to the 40 ft diameter spherical tank. Water is being pumped at the ground level to fill the tank with water of density 62.4 lb/ft3, a) How much work is done in filling the tank half full? b) How much work is done in filling the tank ENTIRELY full? 2. Relevant equations dW = (dV)*(density)*(displacement) 3. The attempt at a solution I calculated that dV would be a cylindrical section of the tank with height dy --> πx2 dy Density is given 62.4 lb/ft3 I used (120 - y) as my displacement ∫(Pi)x2(120 - y) dy Limits: 0-120 ?? I don't know if the displacement is correct and how to convert x in terms of y.