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Homework Help: Setting up triple integral in cylindrical coords (looking to check my answer)

  1. Feb 24, 2009 #1
    1. The problem statement, all variables and given/known data

    set up an integral in cylindrical coords to compute the volume of the solid S bounded by the sphere x^2+y^2+z^2=12 and the cone 3z^2=x^2+y^2 where z>=0

    3. The attempt at a solution

    i will post my answer here. plz let 'I' stand for integral:

    i get,

    I[0,2pi] , I[0,3] I[r/sqrt[3],sqrt[12-r^2] r dz dr dtheta.

    so theta goes from 0 to 2pi
    r goes from 0 to 3 etc

    thank you
    Last edited: Feb 24, 2009
  2. jcsd
  3. Feb 24, 2009 #2


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    Science Advisor
    Homework Helper

    It says to find volume. So the function you are integrating is '1'. That's a little hard to read, but it looks ok to me.
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