Gabriel's Horn

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 .


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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.
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Related Curriculum Standards

US Common Core State Standards, Mathematics