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Volume of Sphere

  1. Nov 15, 2009 #1
    Find the volume of the sphere:

    f(x,y,z)=e^(x^2+y^2+z^2) over x^2+y^2+z^2≤9 using spherical coordinates

    After working trough I get this enormous number 228965, when I know its 113.097 using the simple volume formula for a sphere. I think I am having trouble with the integration of e^(rho^2)*rho... Any tips guys?
  2. jcsd
  3. Nov 15, 2009 #2
    Integration by parts!
  4. Nov 15, 2009 #3


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    You might have better luck with the substitution u=rho2
  5. Nov 15, 2009 #4
    Which is of course correct. Apologies for my confusion.
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