## Vuvuzelas and Surfaces of Revolution

Before the World Cup disappears forever (to me, four years = forever) , I had to point out that the vuvuzela

reminds me a lot of the surface of revolution known as the Horn of Gabriel,

which is obtained by rotating the function y = 1/x around the x-axis. The weird thing about this surface is that it has finite volume but **infinite **surface area. Thus, if this object existed in the real world, you could fill it up with a finite amount of paint, but you couldn’t cover the surface with a finite amount of paint. If that means anything.

I’ll try to find the equation of the actual curve of revolution for a real vuvuzela.

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