Volume of a Torus Using Integration

This video derives the volume of the torus using integration, a problem that my calculus students don't like, but gives a change to review some idea. Then I hint at another way to do this problem which I'll discuss in another video. Please watch the follow-up video which is much more fun...
   • My Calculus Students Hate Donuts and ...  

Time Stamps:
00:00 Intro
01:15 Visualizing the Solid as a Revolution of a Region
02:55 Simplifying the Process
03:31 Equation for a Circle
04:36 A Specific Example
07:52 Cylindrical Shells Reminder
10:29 Approach to Integrating
10:55 A Simplifying Substitution
12:30 Separating our Integration
13:24 Some Evaluation Tricks
15:04 Back to the General Problem