Find the limits of integration in cylindrical coordinates for integrating a function f(r, ̄̄̄̄̄̄, z) over the region bounded below by the plane z = 0, laterally by the circular cylinder, and above by the paraboloid.
Set-up:
V = ∢∢∢ f(x, y, z) dV = ∢ ∢ ∢ f(r cos ̄̄̄̄̄̄, r sin ̄̄̄̄̄̄, z) r dz dr d̄̄̄̄̄̄