Question
Let D be the region in the first octant that is bounded below by the cone $z = \sqrt{x^2+y^2}$ and above by the sphere $x^2+y^2+(z-1)^2 = 1$. Set up an iterated triple integral to evaluate this volume.
I was trying to use cylindrical coordinates and ran into a slight doubt. Would the boundary for the angle be from $0 \to \pi/2$ since we should only consider the volume with both x and y positive?