Atrough is 5feet long and 1 foot high. The vertical cross-section ofthe trough parallel to an end is shaped like the graph of y = 3:3 from .1: = 1 to r = 1 .The trough is full of water. Find the amount of work: in foot-pounds required to emptyr the trough by pumping the water over the top. Note: The weight of water is 62 pounds per cubic foot