Also, the specific geometry of the solid sometimes makes the method of using cylindrical shells more appealing than using the washer method. It is also possible to use the same principles with rings instead of discs (the washer method) to obtain hollow solids of revolutions. The ability to choose which variable of integration we want to use can be a significant advantage with more complicated functions. With the method of cylindrical shells, we integrate along the coordinate axis perpendicular to the axis of revolution.

We can use this method on the same kinds of solids as the disk method or the washer method however, with the disk and washer methods, we integrate along the coordinate axis parallel to the axis of revolution. of Revolution by Disks and Washers Solids of Revolution by Shells. In this section, we examine the method of cylindrical shells, the final method for finding the volume of a solid of revolution. Two Desmos graphs that illustrate and perform calculations on solids of revolution. Compare the different methods for calculating a volume of revolution.Calculate the volume of a solid of revolution by using the method of cylindrical shells.

Washers and disk graph and shells