Document Type

Article

Publication Date

3-2014

Department

Mathematics

Language

English

Publication Title

G4G11 Gift Exchange

Abstract

Gabriel’s horn is the surface obtained by revolving the curve y = 1/x (x ≥ 1/2) about the x-axis (see figure 1). Mathematics professors wow introductory calculus students by sharing its paradoxical properties: it has finite volume, but infinite surface area. As they say, “you can fill it with paint, but you can’t paint it.”

Comments

This published version is made available on Dickinson Scholar with the permission of the publisher. For more information on the published version, visit Gathering 4 Gardner's Website.

Included in

Mathematics Commons

COinS