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Path: utzoo!linus!decvax!harpo!seismo!hao!hplabs!hp-pcd!john
From: john@hp-pcd.UUCP (John Eaton)
Newsgroups: net.math
Subject: Re: Everything you know is wrong! - (nf)
Message-ID: <1546@hp-pcd.UUCP>
Date: Thu, 18-Aug-83 03:30:54 EDT
Article-I.D.: hp-pcd.1546
Posted: Thu Aug 18 03:30:54 1983
Date-Received: Fri, 19-Aug-83 02:03:29 EDT
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Organization: Hewlett-Packard, Corvallis OR
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#R:ihuxr:-55700:hp-pcd:6100001:000:568
hp-pcd!john    Aug 17 09:13:00 1983

Well You Managed To Show That A Sphere With Radius R Has The Same Surface
Area To Volume Ratio As A Cylinder Of Radius R, But That Wasn'T The Problem.
The Problem Is How To Maximize The Enclosed Volume Of A Shape Given That The
Surface Area Is Constant (Or How To Minimize The Surface Area Given That The
Volume Is Constant).
 

 Assume That You only  Have 36 * Pi Of Material To Make A Shape:

 If You Build A Shere Then R = 3 And That Surface Area To Vol Ratio Is 1

 If You Build A Cylinder Then R = 2.45 And Its Ratio Is 1.22



 John Eaton

 hplabs!hp-pcd!john