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Spivak Calculus on Manifolds

  1. Apr 11, 2009 #1
    1. The problem statement, all variables and given/known data
    Given a Jordan-measurable set in the yz-plane, use Fubini's Thm to derive an expression for the volume of the set in R3 obtained by revolving the set about the z-axis


    2. Relevant equations



    3. The attempt at a solution
    I solved this problem very easily using change of variable formula, just by switching to cylindrical coordinates. However, we were not supposed to have learned change of variable yet. I can't see any other way to it.
    Please help me
     
  2. jcsd
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