SHELL METHOD DEMO GALLERY The following is a gallery of demos that can be used to illustrate the shell method for computing volumes of solids of revolution. These animations are designed to be used by the instructor in a classroom setting or by students as they acquire a visual background relating to solids of revolution and the steps of the shell method. Two formats, animated gif and mov are provided for the method of shells examples.
Each example in the gallery is organized the following way for maximum flexibility for your inclass demo. A static picture of the region to be revolved about the yaxis identifies each example. An animated gif shows how a region is partitioned and a typical shell is generated. Another animation shows a sequence of seven shells generated to approximate the volume. A third animation illustrates the generation of the solid by revolving the region about the yaxis. These can be shown in any order. Finally, movies are provided that contain all the frames of the previous animations. Because of the complexity of the graphics (generated by Mathematica) and the video compression, the mov files are fairly large (1 to 3 MB). To download the files, right click on the link to see the download dialog box. Regions Bounded Between a Curve and an Axis on an Interval [a,b]:

Regions Bounded Between Two Curves
Notes: The sequence of images in the movies above follow a specific pattern that describes the method of shells. The pattern provides the basis for a script that can be used to narrate the action. In addition to an inclass demo, this script can provide a guide for students who view the animations on their own. Regions Bounded Between a Curve and an Axis on an Interval [a,b]:
Regions Bounded Between Two Curves
LFR 5/15/02 last updated DRH 5/24/2006
