volume of a donut (torus)

IB Maths HL & SL / Analysis: volume of a donut (torus)

Whenever I begin to teach how to find the volume of a solid of revolution by means of integral calculus I always bring fresh donuts for the entire class to enjoy. Because what better (or tastier) solid of revolution is there then a donut (preferably one with chocolate icing).This year I had a Math HL student who was very interested in doing something involving three-dimensional geometry or non-Euclidean geometry or topology...

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