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Homework Help: Volumes by Cylindrical Shells

  1. Jan 24, 2008 #1
    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 = ??


    I set up the problem like this...

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

    (height) (radius) ...of "shell"

    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. jcsd
  3. Jan 24, 2008 #2


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    What does "(y-2)**2" mean? Did you mean [tex](y-2)^2[/tex]?
  4. Jan 24, 2008 #3
    yes, sorry, it copy-pasted like that
  5. Jan 24, 2008 #4
    never mind, i solved it finally
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