Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/18/84 exptools; site ihdev.UUCP Path: utzoo!watmath!clyde!burl!ulysses!mhuxr!mhuxn!ihnp4!ihdev!pdg 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!