The top of a rubber bushing designed to absorb vibrations in an automobile is the surface of revolution generated by revolving the curve z = 1 2 y2 + 2 for (0 ≤ y ≤ 3) in the yz-plane about the z-axis. (a) Find an equation for the surface of revolution. (b) All measurements are in centimeters and the bushing is set on the xy-plane. Use the shell method to find its volume. (Round your answer to three decimal places.) cm3 (c) The bushing has a hole of diameter 1 centimeter through its center and parallel to the axis of revolution. Find the volume of the rubber bushing. (Round your answer to three decimal places.) cm3