A cylindrical water well has an 8-inch diameter and is 180 feet deep. The water is 15 feet from the top of the well. Determine the amount of work (in ft-lb) done in pumping the well dry. (Use 62.4 pounds per cubic foot for the weight of water.) ft-lb Work must involve the set up of the integral and integration using FTC.

A cylindrical water well has an 8-inch diameter and is 180 feet deep. The water is 15 feet from the top of the well. Determine the amount of work (in ft-lb) done in pumping the well dry. (Use 62.4 pounds per cubic foot for the weight of water.) ft-lb Work must involve the set up of the integral and integration using FTC.