Sorry I don't know how to write a nice looking equation on here so, this is the question:

rho^2 (sin^(2) (phi) * sin^(2) (theta) + cos^(2) (phi)) = 9

What surface is this?

- Oct 15th 2009, 02:59 PMSusaludaIdentify the surface whose equation is given in spherical coordinates
Sorry I don't know how to write a nice looking equation on here so, this is the question:

rho^2 (sin^(2) (phi) * sin^(2) (theta) + cos^(2) (phi)) = 9

What surface is this? - Oct 15th 2009, 03:19 PMMush
- Oct 15th 2009, 03:21 PMSusaluda
Yes, that's right.

- Oct 15th 2009, 03:29 PMMush
Are you away that, to convert from spherical to cartesian coordinates, you use the following:

$\displaystyle x = \rho \cos(\phi) \sin(\theta) $

$\displaystyle y = \rho \sin(\phi) \sin(\theta) $

$\displaystyle z = \rho \cos(\theta)$

Some of these bear striking resemblance to your equation, and that might help you to proceed. - Oct 15th 2009, 03:31 PMJester
- Oct 15th 2009, 03:33 PMSusaluda
Wow, yeah, ok I don't know how I didn't realize that :P Thanks to both of you!