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Math Help - Applications

  1. #1
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    Applications

    A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying horizontally on its side. (In other words, the tank is not standing vertically on one of its flat ends.) If the radius of the cylinder is 0.5 meters, its length is 4 meters, and its top is 3 meters under the ground, find the total amount of work needed to pump the gasoline out of the tank. (The density of gasoline is 673 kilograms per cubic meter; use g=9.8 m/s**2.)

    Could you guys show me how to do this?
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  2. #2
    may
    may is offline
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    maybe the solution is like this:
    first find the vol of the cylinder use this formula
    Volumecylinder = pi r2 h
    =pi(0.5)2 (4)
    =3.141592


    then use density=mass×volume to find the mass
    673=m
    ×3.141592
    m=214.22kg

    F=ma
    =
    214.22kg×9.8
    =2099.38

    use 9.8 as a because of the force of gravitation

    work done =force
    ×displacement
    =2099.38
    ×3

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