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Homework Help: Ugly volume caculation

  1. Aug 20, 2008 #1
    1. The problem statement, all variables and given/known data
    calculate the volume confined within this surface
    [tex]
    \left( x+y+z \right) ^{2}+ \left( 2\,x+y+z \right) ^{2}+ \left( 3\,x+
    4\,y+z \right) ^{2}=4
    [/tex]

    2. Relevant equations



    3. The attempt at a solution
    i know that i need to use different variables but i just cant make it
     
  2. jcsd
  3. Aug 20, 2008 #2

    Dick

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    Science Advisor
    Homework Helper

    What choice of coordinates will turn that into a sphere u^2+v^2+w^2=4??
     
  4. Aug 20, 2008 #3
    even if i do choose
    u=x+y+z
    v=2x+y+z
    w=3x+4y+z

    which jacobian will i use?
    because i need to use another transformation to spheerical coord...
     
    Last edited: Aug 20, 2008
  5. Aug 20, 2008 #4
    never mind got iy thanks allot for the hint
     
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