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## Homework Statement

I am having so much trouble with this one problem ( and spherical coordinates in general ).

Any help would be amazing:

∫∫∫ 1 / √(x

^{2}+y

^{2}+z

^{2})

Over -4≤x≤4, 0≤y≤√(16-x

^{2}), 0≤z≤√(16-x

^{2}-y

^{2})

## Homework Equations

## The Attempt at a Solution

I know that rho

^{2}will replace √(x

^{2}+y

^{2}+z

^{2}) in my integral, but I am having a really hard time understanding what my limits of integration should be for rho,phi, and theta. I think it is some sort of a snow cone, where theta is from 0 to pi/2 but I'm really not sure.