I am having so much trouble with this one problem ( and spherical coordinates in general ).
Any help would be amazing:
∫∫∫ 1 / √(x2+y2+z2)
Over -4≤x≤4, 0≤y≤√(16-x2), 0≤z≤√(16-x2-y2)
The Attempt at a Solution
I know that rho2 will replace √(x2+y2+z2) 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.