Subject: Re: gabriel's horn
From: Ann Flanigan (annf@hawaii.edu)
Date: Wed Feb 23 2000 - 17:08:51 EST
The explanation I've seen is to think of a paint can that holds a finite
amount of paint, but whose surface can never be completely covered by the
paint because it's infinite.
Anne C. Flanigan, Mathematics
Kapiolani Community College
Arts and Sciences
4303 Diamond Head Rd.
Honolulu HI 96816
(808) 734-9701
On Wed, 23 Feb 2000 detzwile@uwc.edu wrote:
> anyone know of a (sort-of) intuitive explanation of the features of
> gabriel's horn?
>
> y = 1/x over zero to infinity
>
> 1. area is unbounded; goes to infinity
> 2. volume of solid of rev is bounded; approaches pi
> 3. surface area of solid of rev is unbounded; goes to infinity
>
> thanks
>
> David J Etzwiler
> Assoc Professor of Mathematics
> University of Wisconsin - Baraboo/Sauk County
> 1006 Connie Rd
> Baraboo, WI 53913
> 608 356-8351 x 238
> fax 608 355-7911
>
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