Calculating the Volume of a Toroidal Section: A Mathematical Exploration

[Monkfish]

Please visit this http://www.mathhelpforum.com/math-help/calculus/61981-volume-toroidal-section.html".

 

[scupydog]

And?

 

[Monkfish]

...and see if you can help me find the equation for the volume of the toroidal section shown. Perhaps the double integral at the end of the first post is a better proposition. Any pointers would be much appreciated. Thanks :)