can you check if this is correct ? Also where did the points of integration come from? (The numbers we use to do integrals)

3. (8 pts) Consider the solid region in R3 that is in the first octant (x 2 0, y 2 0, z 2 0) and inside the sphere x2 + y' + 22 = 4. The density at each point in this solid is given p(x, y, z) = z. Find the total mass of the solid. Total mass= JUS Edv spherical coordinates S$5 3 So proso pa sind dipdedo = SZ cospsinodded S do s? p3dp u = sind du= coscode = So udu ( 2 ) ( #p4 / ? ) = (202 / !) ( 2 ) (# ( 2) 4 ) = 2 ( 2 ) ( 4 ) Surface = A k