Let D be the region bounded below by the plane z = 0, above by the sphere x^2 + y^2 + z^2 = 16, and on the sides by the cylinder x^2 + y^2 = 4. Set up the triple integrals in cylindrical coordinates that give the volume of D using the following orders of integration.
a. dz dr dθ b. dr dz dθ c. dθ dz dr
a. Find the integral for the volume using the order dz dr dθ.