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From: ecn-ec:ecn-pc:ecn-ed:vu@pur-ee.UUCP
Newsgroups: net.math
Subject: Re: Everything you know is wrong!
Message-ID: <159@ecn-ed.UUCP>
Date: Tue, 16-Aug-83 14:25:14 EDT
Article-I.D.: ecn-ed.159
Posted: Tue Aug 16 14:25:14 1983
Date-Received: Wed, 17-Aug-83 05:59:34 EDT
References: ihuxr.557
Lines: 12

NO !

The ratio is *not* the same for sphere and cylinder. Saying that the ratio
is largest for the sphere means that given volume V, then the surface area
will be largest for the sphere **among objects of volume V**. Now the
cylinder with base radius r (same as sphere's radius) and height 2r is way

BIGGER than the sphere (i.e. not the same V) and thus not comparable. Remark
that for a fixed r (e.g. r=1) the ratio for a sphere volume (4/3)pi is 3,
and a cylinder will have ratio = 3 only if it has volume 2 pi = (6/3) pi .

			Hao-Nhien Vu (pur-ee!vu)