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                                      Michael Lee's Mathematics and Physics

Volume of a Torus and its frustums. (see also Surface Area of a Torus for more information).

 

There are two methods shown here, the "washer" method and "ring" or "shell" method.

 

Examine the following cross sectional diagram of a ring or horn torus.

 

 

 

 

 Method I. (Washer Method)

 

 

Volume of a Frustum of a Torus

 

 

 

 

 

 

 

 Method II. Ring Method

 Again the diagram above.