Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP
Posting-Version: version B 2.10.2 9/5/84; site sjuvax.UUCP
Path: utzoo!watmath!clyde!burl!ulysses!allegra!princeton!astrovax!sjuvax!lp102911
From: lp102911@sjuvax.UUCP (palena)
Newsgroups: net.bizarre
Subject: Re: Bizarre mathematics
Message-ID: <2301@sjuvax.UUCP>
Date: Mon, 7-Oct-85 12:51:16 EDT
Article-I.D.: sjuvax.2301
Posted: Mon Oct  7 12:51:16 1985
Date-Received: Thu, 10-Oct-85 08:33:54 EDT
References: <2452@ut-ngp.UTEXAS>
Reply-To: lp102911@sjuvax.UUCP (Larry Palena)
Distribution: net
Organization: St. Joseph's University, Phila. PA.
Lines: 35
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



              Well GOLLLLLLY!!!! Consider an infinite sum with a limit.
         What this means is that I can add something together forever without
         it ever exceding a certain amount.

            Bizarre.......

                                
                                            Larry Palena
                                            St. Joseph's Univ.

{ astrovax | allegra | bpa | burdvax } !sjuvax!lp102911