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Math Help - Triple Integral

  1. #1
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    Triple Integral

    Hi,

    My goal is to set up a triple integral that representshe the volume under the plane z = 6, and inside the paraboloid z = x^2 + y^2. I attempted to do this using cylindrical coodinates, and this is what I got:

     <br />
\int_0^{2\pi} \int_0^{\sqrt{6}}\int_{r^2}^{6} 1dzrdrd\theta<br />

    does it this look about right?
    Thanks for any help
    james
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  2. #2
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    Quote Originally Posted by james121515 View Post
    Hi,

    My goal is to set up a triple integral that representshe the volume under the plane z = 6, and inside the paraboloid z = x^2 + y^2. I attempted to do this using cylindrical coodinates, and this is what I got:

     <br />
\int_0^{2\pi} \int_0^{\sqrt{6}}\int_{r^2}^{6} 1dzrdrd\theta<br />

    does it this look about right?
    Thanks for any help
    james
    Yes, that is correct.
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