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Math Help - Volume of multivariable functions

  1. #1
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    Mar 2011
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    Volume of multivariable functions

    I have one small doubt in one of the question and would appreciate your advise.
    I have this question to find the volume of cone \phi =\pi /4 by the sphere \rho =2 a cos\phi .
    I think that:
    1. I need to use triple integrals
    2. \phi goes from 0 to \pi /4, \rho goes from 0 to 2 a cos\phi and \theta goes from 0 to 2\pi .
    Am I on the right track?
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  2. #2
    Member
    Joined
    Nov 2009
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    That sounds right. Don't forget the Jacobian determinant though. dV=dxdydz=\rho^2\sin\phi d\rho d\phi d\theta
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