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Math Help - Triple integral...

  1. #1
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    Triple integral...

    A volcano fills the volume between the graphs and , and outside the cylinder . How to find the volume of this volcano?
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  2. #2
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    Quote Originally Posted by iwonder View Post
    A volcano fills the volume between the graphs and , and outside the cylinder . How to find the volume of this volcano?
    I'd switch to polar coordinates. Then

    V = \int_{\theta = 0}^{2 \pi} \int_{r=1}^{+\infty} \frac{1}{r^{2{\color{red}1}}} \, dr \, d\theta.
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