In your first project as the newest engineer to your team, you have been tasked with performing calculations related to a recently constructed water tower. The tower consists of a spherical tank the bottom of which is 30 ft above the ground and a pipe attached to the bottom of the tank that transports water from the ground to the tank. If the diameter of the spherical tank is 48 ft and the tank is being filled with freshwater having a weight density of 62.4lbft3, how much work will be done in filling the tank completely? Assume that the pipe is filled with water to the base of the tank. W= ________ ft-lb
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