The Sliced Sphere


Basically we can derive a formula that predicts the factor by which a solid sphere's surface area increases when it is sliced into y number of pieces, provided that y is a power of 2. For each piece, y, a new circle is exposed so the total area, A, becomes

A = ypr2 + 4pr2.
The ratio of the sliced sphere to the unsliced one is (ypr2 + 4pr2) / 4pr2 or (y+4)/4.

To summarize a sphere cut into y pieces(where y is a power of 2) will react (y+4)/4 times faster, approximately. In reality it would probably react a little faster than that, at least in the case of an oxidation because the edges will cause electrons to leak out faster than in the case of the perfectly smooth sphere.

Page Maintained by E.Uva; euva@retired.ca

The best things in life are free: the chemistry of love and the love of chemistry.


Fleeting thought:
The product of the electron’s radius and mass are inversely proportional to that of the neutron !
(see rigdenextra.html)

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Created:January/1/2001;