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# (Solved): When you go to the gas station to fuel up your car, a certain amount of energy is required to fill y ...

When you go to the gas station to fuel up your car, a certain amount of energy is required to fill your vehicle up with gas. Suppose the underground fuel storage tank at the gas station you visit is a cylinder on its side (see the image below). It has a radius of 4 meters and length 30 meters. Additionally, suppose the tank is completely full and that we need to pump all of the fuel out of a pipe/hose, which extends an additional 20 meters out of the top of the tank. Set up, but do not evaluate, an integral representing the work (energy) needed to pump all of the fuel from this tank and out the pipe/hose. You must use the facts that the density of regular unleaded gasoline is

\rho _(gas)~~737

k(g)/(m^(3))

and the acceleration due to gravity is

g~~9.8

\Gamma ^(-2)

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