Volumes by Cylindrical Shells

  • #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!
 

Answers and Replies

  • #2
Defennder
Homework Helper
2,591
5
What does "(y-2)**2" mean? Did you mean [tex](y-2)^2[/tex]?
 
  • #3
yes, sorry, it copy-pasted like that
 
  • #4
never mind, i solved it finally
 

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