(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I am to derive the volume of a sphere using spherical coordinates. I have derived the (correct) jacobian as r^2sin(theta) dr d(theta) d(phi) so its simply a matter of integrating over the correct limits.

2. Relevant equations

What I don't get is why we use 2pi to 0 for phi and pi to 0 for theta, when surely the definition of spherical coordinates uses the opposite limits for the two coordinates.

3. The attempt at a solution

Here http://en.wikipedia.org/wiki/Multip...atical_applications_-_Calculations_of_volume" the correct formula is derived using these limits, so I know it works. But why?

Any help appreciated!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Question on limits used in triple integral for volume of a sphere

**Physics Forums | Science Articles, Homework Help, Discussion**