Problem-7. The hemispherical body shown in the Figure (r 2 ft) projects into a tank. Find the horizontal and vertical forces acting on the hemispherical projections for the following cases:

(a) the tank is full of water with the free surface 5 ft above A;(b) the tank contains CCI4 (s = 1.59) to the level of A overlain with water having its free surface 5 ft above A; (c) the tank is closed and contains only gas at a pressure of6 psi; (d) the tank is closed and contains water to the level of A overlain with gas at a pressure of 2 psi. Assume the gas weighs 0.075 lb/ft3.