§8.3 Volumes by the Shell Method Find the volume of the solid generated when the region between y = 3x – x2 and y = 0 is rotated around the y‐axis. Ex 1: Find the volume (using the shell method) when the region between y = x and y = x is revolved around the y –axis. Ex 2: Find the volume (using the shell method )when the region between y = x and y = x is revolved around the x –axis. Ex 3: Find the volume (using the shell method) when the region between y = x and y = x is revolved around the line x = ‐2. Ex 4: Find the volume (using the shell method) when the region between y = x and y = x is revolved around the line y = 3.