Infinite Surface Area but Finite Volume!?!? *Gabriel's Horn*

Gabriels' Horn - aka Torricelli's Horn - is one of my favorite examples in Calculus. This is a region of revolution where the surface area is infinite but the volume is finite. How cool is that! In this video we recall the formulas for surface area and volume of regions of revolution and compute out the improper integrals, in one place having to apply the Comparison Test.

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This video was created by Dr. Trefor Bazett, an Assistant Professor, Educator at the University of Cincinnati.

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