Cavalieri Content Cups
Art
Recreational Math
Just as 13 breaks up nicely as the sum of 8 and 5, so too does the (volume of a) cylinder break up nicely as the sum of a cone and hemisphere, a fact we have seen demonstrated at previous Gatherings in vivid ways. But the one-diagram proof of this partition using Cavalieri's principle is remarkably flexible, as the non-standard Cavalieri Content Cups to be distributed will show. For more information, see v.gd/stinf.
G4G13
Glen Whitney
G13-048