Based on the thumbnail you just posted, we have the radii between 0 and 2. That gives the surfaces of the circle. If 0 ≤ z ≤ 1, then, we have the cylinder with the height between these intervals (The z range 1).From this equation
x2 + y2 = 2y
I was wondering how in the solutions manual it was decided that 0≤z≤1 ?
Don't read... I was looking at a solution to a different problem