2 m 37. Emptying a half-full cylindrical tank Suppose the water tank in Exercise 36 is half full of water. Determine the work required to empty the tank by pumping the water to a level 2 m above the top of the tank. 38. Emptying a partially filled swimming pool If the water in the swimming pool in Exercise 35 is 2 m deep, then how much work is required to pump all the water to a level 3 m above the bottom of the pool? 39. Emptying a conical tank A water tank is shaped like an inverted cone with height 6 m and base radius 1.5 m (see figure). a. If the tank is full, how much work is required to pump the water to the level of the top of the tank and out of the tank? b. Is it true that it takes half as much work to pump the water out of the tank when it is filled to half its depth as when it is full? Explain. 1.5 m 6 m 43. Emptyi section 1 m. As a. How troug b. If th Expl 1 m width le A=2x (10) 44. Pumpin (rather t to pump the tank