A cylindrical tank. shown to the right, has height 12 m and radius 4 m. Suppose the water tank is half-full of water. Determine the work required to empty the tank by pumping the water to a level 4 m above the top of the tank. Use 1000 kg I m3 for the density of water and 9.8 mis2 for the acceleration due to gravity. 12 :11 Draw a y-axis in the vertical direction (parallel to gravity) and choose the center of the bottom of the tank as the origin. For 0 5 y s 12, nd the cross-sectional area A(y). A(y} = (Type an exact answer, using It as needed.)