Gabriel's horn

Gabriel's horn, also known as Torricelli's trumpet, is a mathematical construct that represents an infinite surface area while having a finite volume. It is formed by revolving the curve described by the function \( f(x) = \frac{1}{x} \) for \( x \geq 1 \) around the x-axis. When this curve is revolved, it creates a three-dimensional shape that extends infinitely in one direction but converges in volume.