Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given nun/es about the y-axis. 2 =7, =0,X=1,X=2 y X y 1 2 Step 1 Rotating a vertical strip around the y-axis creates a cylinder with radius r = - and height h = - HIM Step 2 Now we can say that the volume of the solid created by rotating the region under y = % and above the X-axis between X = 1 and X = 2 around the y-axis is b V: [27"th E IE =/' 2nx( 1 dx. HIM 2 So, the volume of our solid is 21I[ ] =