Thread: 3D volume problem with spherical coordinates

1. 3D volume problem with spherical coordinates

Find the volume of a solid between the graph of $z=0$ and $z= \frac {1}{(x^2+y^2)^{25}}$, and outside the cylinder $x^2+y^2=1$.

Guys, I haven't done triple variables for a long time, how should I start? Thank you.

2. Note the cylindrical coordinate $r = \sqrt{x^2 + y^2}$ being present in the equations. This suggests that this integral is easily computed in cylindrical coordinates. Remember that the volume form in cylindrical coordinates is $r dr d\theta dz$.