Consider a trough that is 5 feet long, 3 feet tall, and has ends shaped like trapezoids with lengths 2 and 3 feet along the bottom and top, respectively. Fluid weighing 50 lb/ft3 sits inside the trough to a depth of 2 feet. Find (a) the hydrostatic force on the bottom of the trough,
(b) the hydrostatic force on one trapezoidal end of the trough, and
(c) the work required to pump all the fluid out of the trough