3D volume problem with spherical coordinates

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August 5th 2009, 05:32 PM
tttcomrader

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.
August 6th 2009, 02:36 AM
slider142

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 $r dr d\theta dz$ .

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