The tank in fig 19 below is filled with sea water, density 65 pounds/cubic foot. The dimensions of the tank are in feet. Do not consider any losses due to friction in this problem. a) Find the volume of the tank. b) Find the weight of the water. c) Find the center of mass of the water. From this point on you should not have to integrate for anything d) How much work does it take to pump all the water out of the tank if you pump it just over the top edge of the tank ? e) How much work does the water do on a turbine if the whole tank is drained out of a hole at the bottom of the tank, and the turbine is located at an elevation of y = 0 feet ? f) How much work does the water do on a turbine if the whole tank is drained out of a hole at the bottom of the tank and into a pipe, and the pipe goes to a turbine located at an elevation of y = -1000 feet ? (i.e. 1000 feet below the bottom of the tank) g) How many horsepower does the turbine produce in part f) if the time to drain the water is 5 seconds ? h) Working backwards, if the turbine in part g) is measured to produce 100 horsepower, when the water was drained out in 5 seconds, what was the elevation of the turbine ? 550 ft-pounds/sec = 1 horsepower