A circular swimming pool has a diameter of 16 m, the sides are 3 m high, and the depth of the water is 2 m. How much work (in Joules) is required to pump all of the water over the side? (The acceleration due to gravity m kg is 9.8 and the density of water is 1000 3 m'A conical trough has a radius of 5 feet and a height of 7 feet. It is filled with a liquid that weighs 30 pounds per cubic foot and the depth of that liquid is 5 feet. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. foot-poundsCreate a bucket by rotating around the y axis the curve y = 2In(x - 2) from y = 0 to y = 6. If this bucket contains a liquid with density 720 kg/m' filled to a height of 5 meters, find the work required to pump the liquid out of this bucket (over the top edge). Use 9.8 m/s for gravity. Work = JoulesA trough is 5 meters long, 1.5 meters wide, and 4 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 4 meters, and base, on top, of length 1.5 kg meters). The trough is full of water (density 1000 ). Find the amount of work in joules required to empty m the trough by pumping the water over the top. (Note: Use g = 9.8-, as the acceleration due to gravity.) JoulesA trough is 8 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y = x from x = -1 to x =1 . The trough is full of water. Find the amount of work in foot- pounds required to empty the trough by pumping the water over the top. Note: In this problem, use 62 pounds per cubic foot as the weight of water. foot-pounds