Calculus: Other Calculus Problems – #23728

Question: A rectangular tank with a base 6 meters by 8 meters and a height of 7 meters is currently filled with water to a height of 5 meters. The water is to be pumped out to a height 1 meter above the top of the tank. Write an integral that gives the amount of work that is required to pump out enough water to leave 2 meters of water in the tank? (Note: the density of the water is 1000 kg/m3 and g =9.8 m/sec2). DO NOT ATTEMPT TO EVALUATE THE INTEGRAL; JUST SET IT UP.