The iterated integral for evaluating D (r, , z) d r dr du over the given region D. D is the solid right cylinder

The iterated integral for evaluating ∫∫∫_D ƒ(r, θ, z) dθ r dr du over the given region D.

D is the solid right cylinder whose base is the region in the xyplane that lies inside the cardioid r = 1 + cos θ and outside the circle r = 1 and whose top lies in the plane z = 4.

X Z -+ y r = 1 r = 1 + cos 0