Thread: Double Integral Polar... I think

1. 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

2. 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.

3. Originally Posted by palmaas
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

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