# Gabriel's Horn

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Gabriel's Horn is obtained by rotating the curve around the axis for . Remarkably, the resulting surface of revolution has a finite volume and an infinite surface area. It is interesting to note that as the horn extends to , the volume of the horn approaches .

Contributed by: John Snyder (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Snapshot 1: The equation for is used to generate the surface.

Snapshot 2: The surface is generated by rotation around the axis.

Snapshot 3: Gabriel's Horn is formed by a complete rotation around the axis.

## Permanent Citation

"Gabriel's Horn"

http://demonstrations.wolfram.com/GabrielsHorn/

Wolfram Demonstrations Project

Published: March 7 2011