(adsbygoogle = window.adsbygoogle || []).push({}); Paradox? An infinite set having finite volume??

1. The problem statement, all variables and given/known data

Find the volume, in terms of k, of the solid made from R rotating about the y-axis, if R is defined as the region bounded by [tex]e^{-x}[/tex] and the coordinate axes.

2. The attempt at a solution

Obviously, [tex]\displaystyle\int^{1}_{0} (\ln (y))^2\pi dx = [/tex] undefined... but the region R itself has a finite volume. So if you rotate it shouldn't it have a finite volume?

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# Homework Help: Paradox? An infinite set having finite volume?

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