Find the volume formed by rotating about the y-axis the region enclosed by: x = 10y and y' = x with y 2 0Use washers to find the volume formed by rotating the region enclosed by: y = 1.6 - 1.6 x - 15 and y = 0 about the y-axisFind the volume of the solid of revolution generated by revolving the region bounded by the graphs of y=-x4+8x - 12 y = -2x + 12 around the line y = 7.Find the volume of the solid obtained by rotating the region bounded by 1 , x = 3, x = 8, and y = 0, about the x-axis. + 3 V =Find the volume of the solid obtained by rotating the region bounded by y = In(x) +1, y = 0, y = 7, and x = 0, about the y-axis. V =A trough is 4 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y = a 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-poundsA trough is 10 meters long, 3 meters wide, and 5 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 5 meters, and base, on top, of length 3 meters). The trough is full of water (density 1000 kg ). Find the amount of work in joules required to empty the trough by m3 m pumping the water over the top. (Note: Use g = 9.8 $2 as the acceleration due to gravity.) JoulesA circular swimming pool has a diameter of 20 m, the sides are 4 m high, and the depth of the water is 3 m. How much work (in Joules) is required to pump all of the water over the side? (The acceleration due to gravity is m kg 9.8 $2 and the density of water is 1000 m3Create a bucket by rotating around the y axis the curve y = 3 In(x - 6) from y = 0 to y = 8. If this bucket contains a liquid with density 860 kg/m filled to a height of 4 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 conical trough has a radius of 2 feet and a height of 6 feet. It is filled with a liquid that weighs 30 pounds per cubic foot and the depth of that liquid is 4 feet. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. foot-pounds