1. The problem statement, all variables and given/known data Evaluate the iterated integral ∫ (from 0 to 1) ∫ [from -sqrt(1-x^2) to sqrt(1-x^2) ] ∫ (from 0 to 2-x^2-y^2) the function given as √(x^2 + y^2) dz dy dx 3. The attempt at a solution I changed the coordinates and I got the new limits as ∫(from 0 to pi) ∫(from (3pi)/2 to pi/2) ∫(from 0 to √2) √(x^2 + y^2) ρ^2 sin phi dρ dphi dθ What I'm having problems is with changing the function I need to integrate into spherical coordinates. Should I replace the values of x and y for it's spherical counterparts or is there an easier way via u-sub, etc? When i try to sub in x = ρ sin phi sin ρ and y = ρ sin phi cos ρ I get a mess. Can anyone nudge me in the right direction please?