an inverted cone creates the tank pictured below. the tank has a height of 12 meters (m) and a base of 10 m. the tank starts with a depth of 9 m of water. set up, but do not evaluate, the integral needed to determine the work w required to pump water over the edge until the height of the water remaining is 1 m. assume the gravitational constant g = 9.8 m/s^2 and water density rho = 1000 kg/m^3