Gabriel's Horn (also called Torricelli's trumpet) is a figure invented by Evangelista Torricelli which has infinite surface area, but finite volume. At the time it was discovered (predating calculus), this was considered a paradox.

Gabriel's horn is formed by taking the graph of y = 1/x, with the range x ≥ 1 (avoiding the asymptote at x = 0), rotating it in three dimensions about the x axis.

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