Ugly volume caculation

  • Thread starter supercali
  • Start date
  • #1
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Homework Statement


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]

Homework Equations





The Attempt at a Solution


i know that i need to use different variables but i just cant make it
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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What choice of coordinates will turn that into a sphere u^2+v^2+w^2=4??
 
  • #3
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What choice of coordinates will turn that into a sphere u^2+v^2+w^2=4??

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:
  • #4
53
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never mind got iy thanks allot for the hint
 

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