gabriel's horn


Subject: gabriel's horn
From: detzwile@uwc.edu
Date: Wed Feb 23 2000 - 10:18:11 EST


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

****************************************************************************
* To post to the list: email mathedcc@archives.math.utk.edu *
* To unsubscribe, send mail to: mathedcc-unsubscribe@archives.math.utk.edu *
* Archives at http://archives.math.utk.edu/hypermail/mathedcc/ *
****************************************************************************



This archive was generated by hypermail 2b28 : Wed Feb 23 2000 - 10:13:50 EST