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Divergence Theorem problem

  1. May 6, 2009 #1
    1. The problem statement, all variables and given/known data

    F = xi + yj + zk, s = x^2 + y^2 + z^2

    2. Relevant equations

    3. The attempt at a solution

    div F = 1+1+1=3

    area of sphere = 4pi

    i can just multiply them to get 12pi as an answer right?
  2. jcsd
  3. May 6, 2009 #2


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    No. You want the volume of the sphere, not the area.
  4. May 8, 2009 #3

    V of sphere = 4/3 pi r^3 where r = 1, V = 4/3 pi

    so i got 4pi
  5. May 8, 2009 #4


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