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Math Help - volume of the ellipsoid (triple intergral) plz help =)

  1. #1
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    Exclamation volume of the ellipsoid (triple intergral) plz help =)

    Find the volume of the ellipsoid
    x^2/a^2 +y^2/b^2 +z^2/c^2 =1
    by solving the triple integral AFTER having made the transformation
    x = au, y = bv, and z = cw.
    Thanks for ur help!
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  2. #2
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    is a straightforward problem, and the answer is given.

    we have dx\,dy\,dz=abc\,du\,dv\,dw and the triple integral is \iiint\limits_{u^{2}+v^{2}+z^{2}\le 1}{abc\,du\,dv\,dw}, and this is a unit ball, so the expected volume is \frac43\pi abc.
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