1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Volume radius problem

  1. Dec 29, 2005 #1
    The volume surrounded by y = x^2 , y=0, x=-2, x=-1 , revolved about y axis,by using cylindrical method.

    The region is actually within x=-1 to -2 and it can actually same with x=1 to 2.

    radius = 2-x
    height = x^2

    Is my assumption correct?
     
  2. jcsd
  3. Dec 29, 2005 #2

    Fermat

    User Avatar
    Homework Helper

    Your radius should simply be x. With limits of: x = 1 to 2

    You assumption about being able to use the region in the 1st quadrant is correct, yes.
     
  4. Dec 29, 2005 #3
    How come the radius should be x?
     
  5. Dec 29, 2005 #4

    Fermat

    User Avatar
    Homework Helper

    The radius should be x because the radius of the cylinder is the distance from the origin.
    The volume of revolution is about the y-axis, which passes through the origin. And you are finding the volumes of all the thin cylinders starting with cylinders with a radius of x = 1 to x= 2.

    See here for a further treatment of the cylindrical method.
     
    Last edited: Dec 30, 2005
  6. Dec 30, 2005 #5
    Something wrong with the link you have given.
     
  7. Dec 30, 2005 #6

    Fermat

    User Avatar
    Homework Helper

    Sorry 'bout that. Forgot to add in the url.
    The link is fixed now.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Volume radius problem
  1. A volume problem (Replies: 9)

  2. Volume Problems (Replies: 32)

  3. Volume problem (Replies: 1)

  4. Volume problem (Replies: 1)

  5. Volume Problem (Replies: 4)

Loading...