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Re: [Phys-L] playing for keeps



Good point, John M. (Are half of the people on this list named John?) So
here's a more complete summary.

Bounding square/circle:
perimeter 8r/2pi*r = 4/pi = 1.27
area 4r^2/pi*r^2 = 4/pi = 1.27 (odd that the ratios are the same)

Bounding cube/sphere
area 24r^2/4*pi*r^2 = 6/pi = 1.91
volume 8r^3/(4/3)pi*r^3 = 6/pi = 1.91

Seems like it ought to be easy to see why these pairs work....??

Bruce


On Sat, Jun 29, 2013 at 6:09 PM, John Mallinckrodt <ajm@csupomona.edu>wrote:

Bruce,

You left out the area of the bounding cube/area of sphere which also
equals 6/pi. Bet we can find a "reason" for those two apparent
coincidences!

John Mallinckrodt
Cal Poly Pomona