Calculating Work

  1. 1. The problem statement, all variables and given/known data

    The hemispherical tank shown is full of water. Given that water weighs 62.5 lb/ft3, find the work required to pump the water out of the tank. (the water will be pumped out of a spigot at the top)

    2. Relevant equations

    INTEGRAL from 0 to 5 of: pi*(5-h)(25-h^2)dh

    3. The attempt at a solution

    INTEGRAL from 0 to 5 of: pi*(h^3-5h^2-25h+125)dh

    pi*((h^4)/4 - (5h^3)/3 - 12.5h^2 + 125h)

    = (3125/12)*pi ft-lb.

    This answer is incorrect though...anyone know what I am doing wrong? Thanks.
  2. jcsd
  3. Dick

    Dick 25,913
    Science Advisor
    Homework Helper

    You didn't use the density of water data. How would you incorporate this?
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