Solved: If the region is rotated about the -axis, the volume of the resulting solid is

Chapter 8, Problem 8.2.25

(choose chapter or problem)

If the region is rotated about the -axis, the volume of the resulting solid is finite (see Exercise 63 in Section 7.8). Show that the surface area is infinite. (The surface is shown in the figure and is known as Gabriels horn.)

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