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Math Help - Work Problem

  1. #1
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    Work Problem

    Need some help guys!

    A cylindrical water tank 12 feet high with a radius of 8 feet is buried so that the top of the tank is 3 feet below ground level. How much work is done in pumping a full tank of water up to ground level?

    (weight of water is 62.4 pounds per cubic foot)

    I set it up this way:

    W = Integral (evaluated from 0 to 15) of (62.4)(pi)(64-y^2)(15-y)dy

    I'm either incorrect in representing radius^2 as 64-y^2 which I derived from equation of an incremental disc of water having equation
    x^2 + y^2 = 64 or in my limits of integration.
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  2. #2
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    Quote Originally Posted by kaiser0792 View Post
    Need some help guys!

    A cylindrical water tank 12 feet high with a radius of 8 feet is buried so that the top of the tank is 3 feet below ground level. How much work is done in pumping a full tank of water up to ground level?

    (weight of water is 62.4 pounds per cubic foot)

    I set it up this way:

    W = Integral (evaluated from 0 to 15) of (62.4)(pi)(64-y^2)(15-y)dy

    I'm either incorrect in representing radius^2 as 64-y^2 which I derived from equation of an incremental disc of water having equation
    x^2 + y^2 = 64 or in my limits of integration.
    the radius of the tank is a constant ...

    W = \int_0^{12} 62.4(64\pi)(15-y) \, dy
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  3. #3
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    Thanks Skeeter, your a big help!
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