# Volume of multivariable functions

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• May 22nd 2011, 05:20 AM
Sonia
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?
• May 22nd 2011, 05:45 AM
Mondreus
That sounds right. Don't forget the Jacobian determinant though. $dV=dxdydz=\rho^2\sin\phi d\rho d\phi d\theta$