Please answer in detail

13. [15 pts] A tank is in the shape of a surface of revolution given by rotating the curve y = $4, for U S :1: S 2, about the y-axis. Denote the density of water by p kg/ma, and gravity acceleration by 2 g m/s . (a) Suppose that 60% of the volume of the tank is lled with water. Find the depth of the water in the tank. [7 pts] (b) Find the work required to pump the water in the tank to an outlet at the top of the tank. [8 pts]