June 2016
We don't have any elegant solution for this month's challenge (but we'd be happy to hear from you if you have one). We present here John Snyder's elaborate solution as is:(See attached file: TippingCanister.pdf)
Thanks for David Greer for pointing us to Brian Mirtich's paper from 1996 "Fast and Accurate Computation of Polyhedral Mass Properties" (http://www.math.uiuc.edu/~redavid2/PW/TimsPaper.pdf)