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From: lew@ihuxr.UUCP
Newsgroups: net.math
Subject: Everything you know is wrong!
Message-ID: <557@ihuxr.UUCP>
Date: Mon, 15-Aug-83 14:10:18 EDT
Article-I.D.: ihuxr.557
Posted: Mon Aug 15 14:10:18 1983
Date-Received: Tue, 16-Aug-83 13:07:30 EDT
Organization: BTL Naperville, Il.
Lines: 15

It is often said that a sphere has the smallest ratio of surface area to
volume among possible shapes. (See net.sf-lovers)
... Well, here's proof to the contrary!

For the sphere: ratio = ( 4*pi*r^2 ) / ( 4/3*pi*r^3 ) = 3/r

For the cylinder circumscribed on the sphere:

ratio = (height * circumference + 2 * base) / ( height * base ) =

	( 2*r * 2*pi*r +  2 * pi*r^2 ) / (2*r * pi*r^2) = 3/r

The same as for the sphere!!!

		Lew Mammel, Jr. ihuxr!lew