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Math Help - Double Integral Polar... I think

  1. #1
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    Double Integral Polar... I think

    I cannot seem to make heads or tails of this problem.

    A volcano fills the volume between the graphs and , and outside the cylinder . Find the volume of this volcano.

    I converted it into polar form which resulted in Integral[Integral[(1/r^16)r drd(Theta)]] bounded by r=0, r=1, Theta=0, Theta=2Pi
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  2. #2
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    It seems like you're on the right track, but since it says OUTSIDE of the cylinder, I believe you want the region 1 \le r < \infty instead.
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  3. #3
    Super Member 11rdc11's Avatar
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    Quote Originally Posted by palmaas View Post
    I cannot seem to make heads or tails of this problem.

    A volcano fills the volume between the graphs and , and outside the cylinder . Find the volume of this volcano.

    I converted it into polar form which resulted in Integral[Integral[(1/r^16)r drd(Theta)]] bounded by r=0, r=1, Theta=0, Theta=2Pi

    \int^{2\pi}_{0} \int^{\infty}_{1} \bigg(\frac{1}{(r^2)^{16}}\bigg) rdrd\theta
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