Log in

View Full Version : Volume of cube using spherical coorindates


galactus
May 10, 2008, 07:23 AM
Here is a problem for those iof you who would like something more substantial than solve x/3=1. ebaines?

Find the volume of the unit cube using spherical coordinates.

galactus
May 13, 2008, 08:58 AM
Here is how I set it up:

6\int_{\frac{\pi}{4}}^{\frac{\pi}{2}} \;\ \int_{0}^{tan^{-1}(csc({\theta})} \;\ \int_{0}^{sec({\phi})}{\rho}^{2}sin({\phi})d{\rho} d{\phi}d{\theta}=1