Section 6.3: Volume by the Cylindrical Shell Method
So far we found volumes by slicing solids into pieces that were disks or washers. Another method, called the Cylindrical Shell Method, is sometimes more convenient.
Slices were...
Example: Suppose a solid is obtained by rotating the region bounded by y = ­ x2 + 6x ­ 8 and y = 0 about the y­axis.
I always draw a "representative rectangle" parallel to the axis of revolution rather than perpendicular to it. When this rectangle is revolved about the axis, what shape is generated?