3. In each ease1 use spherical coordinates to calculate I IS ff(1*,y1z}dV. (a) f(:.-:, y' z) = 1, S is the region inside the sphere 3:2 + y2 + 22 = 12. (Note: you should obtain the formula for the volume of the sphere as your answer. Although the answer is known, use triple integrals to derive it) (h) f(:.':, y' z) = 1.13:2 + 3:2 + 22, S is the region inside the sphere 1'2 +y2 + 22 = 9 but outside the cone 2 = 3:2 + yg