I know that f(x)= 1/x has a infinite area from 1 to infinity but if this area is roated about the x-axis it gives a finite volume. It's actually Torricelli's trumpet.(adsbygoogle = window.adsbygoogle || []).push({});

However, I can't think of any infinite region with a finite area that when rotated about the y-axis gives an infinite volume.

Any help is welcome.

Thanks

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# Finite area with infinite volume

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