Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis.(adsbygoogle = window.adsbygoogle || []).push({});

y = [tex]x^2[/tex]

y = 4

x = 0

0 <= x <= 2

So I drew these:

http://img131.imageshack.us/img131/9225/math28qi.th.jpg [Broken]

http://img68.imageshack.us/img68/866/math21ow.th.jpg [Broken]

I don't know how to determine which region to use (above or below

y = x^2 ). Either seems like it will work.

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# Homework Help: Integral and cylindrical shell

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