# Volumes by Cylindrical Shells

1. Jan 24, 2008

### quickclick330

Consider the given curves to do the following.
x = 3 + (y-2)**2, x = 4
Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis.

V = ??

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I set up the problem like this...

V = integral from 0 to 3((4-(y^2-4y+7))(y + 1) dy)

Did I set this up right? Hopefully this is clear enough, if you can't understand I can clarify. Thanks for the help in advance!

2. Jan 24, 2008

### Defennder

What does "(y-2)**2" mean? Did you mean $$(y-2)^2$$?

3. Jan 24, 2008

### quickclick330

yes, sorry, it copy-pasted like that

4. Jan 24, 2008

### quickclick330

never mind, i solved it finally