The most difficult to visualize volumes are the ones that are NOT the result of a revolution around a line. For example… *imagine a solid with a circular base, and cross sections that are equilateral triangles with their bases in the circle base.* Got it? Now draw it on the board (ha ha … that’s a little math teacher humor – we all should have taken art in college).

Now enter the Wolfram Demonstration “Solids of Known Cross Sections” Throw in a voiceover, a little Camtasia magic, a picture of the Sydney Opera House, and voila! (Check it out here – it’s under a minute) That was MUCH better than drawing it by hand (although all the students did that on the whiteboards for practice).

There is also a WD called “Solids of Revolution” that you might want to check out for this topic.

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Maria,

Thank you so much for your blog. What an amazing work you’ve done. I wish I was a student in your math class.

I would like to contribute to your amazing list of math resources.

This is one of the best Calculus resources I have found . I can’t figure out what programs they used… .

Anyway, here’s the link:

http://online.math.uh.edu/HoustonACT/videocalculus/index.html

Love all your work! Congratulation! Biggest fannnn!

Paul