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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.