Atrough is 3 meters long, 2 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 2 meters). the trough is full of water (density 1000 kg m 3 1000kgm3 ). find the amount of work in joules required to empty the trough by pumping the water over the top. (note: use g = 9.8 m s 2 g=9.8ms2 as the acceleration due to gravity.)