A cylindrical swimming pool has a diameter of 28ft, the sides are 6ft high, and the depth of the water is 3ft. Note, water weighs 62.5lb/ft³ (a) How much work is required to pump all of the water over the side? Work = ft-lb. (b) How much work is required to pump all of the water out of an outlet 3ft above the top? Work = ft-lb. A trough is 12m long, 6m wide, and 4m deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 4m, and base, on top, of length 6m). The trough is full of water (density 1000kg/m³ and g = 9.8m/s² is the acceleration due to gravity). a) Find the amount of work in joules required to empty the trough by pumping the water over the top. b) Find the amount of work in joules required to empty the trough by pumping the water out of a spout 2m high.