use spherical coordinates to calculate the triple integral of f(x,y,z) over the given region.
f(x,y,z)= sqrt(x^2+y^2+z^2); x^2+y^2+z^2<=2z
The Attempt at a Solution
Once I find the bounds, I can do the integral. But I'm having trouble with the bounds of rho.
This region is a sphere of radius 1 centered at (0,0,1). If this is true, then theta and phi both range from 0 to 2pi.
Does rho range from 0 to 2, or do I need to use the function of the region in there somewhere?