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Math Help - work with cylindrical tank

  1. #1
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    work with cylindrical tank

    A right cylindrical tank is filled with sea water. The tank has a radius of 6 feet and a height of 12 feet. If the water level is now 3 feet below the top of the tank, how much work will be required to pump the sea water to the top of the tank? (The weight-density of seawater is 64 lb/ft^3)

    I have

    r=6 ft, and h=12ft
    so far my equation is like this
    W= pi (6)^2 (64)y
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  2. #2
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    See attachment

    For a general discussion of tank problems you might want to check out

    Work
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  3. #3
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    Quote Originally Posted by linlinrocks View Post
    A right cylindrical tank is filled with sea water. The tank has a radius of 6 feet and a height of 12 feet. If the water level is now 3 feet below the top of the tank, how much work will be required to pump the sea water to the top of the tank? (The weight-density of seawater is 64 lb/ft^3)

    I have

    r=6 ft, and h=12ft
    so far my equation is like this
    W= pi (6)^2 (64)y
    work = \int WALT

    W = weight density
    A = cross-sectional area of a representative horizontal "slice" of liquid (in terms of y if variable)
    L = amount of lift in terms of y for a representative horizontal "slice" of liquid
    T = "slice" thickness ... dy

    work = \int_0^9 64 \cdot 36\pi \cdot (12-y) \, dy
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