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

Using spherical coordinates, find the volume of the solid that lies within the sphere x^{2}+y^{2}+z^{2}=4, above the xy-plane and below the cone z=√(x^{2}+y^{2})

2. Relevant equations

3. The attempt at a solution

This is what I have so far,

[tex]v=\int_{0}^{2\pi}\int_{\frac{\pi}{4}}^{\frac{\pi}{2}}\int_{0}^{\frac{2}{cos\phi}}dp d\phi d\theta [/tex]

However, when evaluating this integral you wind up having an infinite discontinuity between the bounds of the 2nd integral, so you can't evaluate it. Am I thinking of the right shape?

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

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: Spherical Coordinates Integral

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