A swimming pool is 20 ft wide and 40 ft long and its bottom is an inclined plane, the shallow end having a depth of 3 ft and the deep end, 9 ft. Suppose the pool is full of water, and assume that the weight density of water is $62.5\,lb/ft^3.$

(a) Find the hydrostatic force (in lb) on the shallow end.

Hydrostatic force = lb

(b) Find the hydrostatic force (in lb) on the deep end.

Hydrostatic force = lb

(c) Find the hydrostatic force (in lb) on one of the sides that extends from the shallow end to the deep end.

Hydrostatic force = lb

(d) Find the hydrostatic force (in lb) on the bottom of the pool.

Hydrostatic force = lb