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Calculus Question (I already did it, just want a double check) about work

  1. Mar 11, 2008 #1
    A circular swimming pool has a diameter of 14 m, the sides are 4 m high, and the depth of the water is 3.5 m. How much work (in Joules) is required to pump all of the water over the side? (The acceleration due to gravity is 9.8 ` m/s^2 ` and the density of water is 1000 ` "kg"/"m"^3 `.)

    W = 9800(integralof)(153.94x)dx from 0.5 to 4

    9800 = 1000*9.8 for density*gravity

    153.94 = pi(7^2) to give the area of each slice of water

    x notates how deep the water is in the pool at that particular point.

    I get

    11880168.24 joules
     
  2. jcsd
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