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From: pdg@ihdev.UUCP (P. D. Guthrie)
Newsgroups: net.bizarre
Subject: Re: Bizarre mathematics
Message-ID: <346@ihdev.UUCP>
Date: Sat, 5-Oct-85 17:04:29 EDT
Article-I.D.: ihdev.346
Posted: Sat Oct  5 17:04:29 1985
Date-Received: Sun, 6-Oct-85 07:08:34 EDT
References: <2452@ut-ngp.UTEXAS>
Reply-To: pdg@ihdev.UUCP (55224-P. D. Guthrie)
Distribution: net
Organization: AT&T Bell Laboratories
Lines: 28
Summary: 

In article <2452@ut-ngp.UTEXAS> dlnash@ut-ngp.UTEXAS (Donald L. Nash) writes:
>*** REPLACE THIS LINE WITH YOUR MESSAGE ***
>
>Here's a bit of bizarre math stuff which may warp your mind.  Imagine
>if you will, the graph of the function y = 1/x from x=1 to x=infinity.
>I'm sure that everyone out there is smart enough to draw this picture
>mentally.  Now rotate this graph about the x-axis.  You get a long,
>skinny funnel of infinite length.  If you work out the integral which
>determines the surface area of the funnel, you will find that it also
>is infinite.  Now comes the bizarre part.  If you work out the integral
>which determines the volume enclosed by that funnel, you find that it
>is not infinite, but that it is pi cubic units!  Think of the significance
>of that:  You can fill the funnel with paint, but you can't paint its
>surface, because you will never have enough paint!
>
>Bizarre....
>
>					Don Nash
>
>UUCP:  ...!{ihnp4,allegra,seismo!ut-sally}!ut-ngp!dlnash
>APRA:  dlnash@ngp.UTEXAS.EDU

"Mathematical Recreations: Pi, e and all that" By Robert T. Kurosaka.
Byte Magazine, September 1985, v10 no.9, P.409

Credit where credit is due....

Come on, NO plaguerism even in net.bizarre!


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