1. The problem statement, all variables and given/known data The top of a rubber band bushing is designed to absorb vibrations in an automobile is the surface of a revolution generated by revolving the curve z = (0.5y^2) + 2 for (0<= y <= 3) in the yz plane about the z axis. use the shell method to find its volume. 2. Relevant equations V = 2pi ∫radius*height dy 3. The attempt at a solution v = 2pi ∫y(4-0.5y^2) dy evaluated from 0 to 3. This is wrong, how to i go about setting up the integral for this? Have trouble with these.