Results 1 to 1 of 1

Math Help - Using polar coordinates to find the volume of a bounded solid

  1. #1
    Newbie
    Joined
    Nov 2008
    Posts
    7

    Using polar coordinates to find the volume of a bounded solid[Solved]


    I found the equation of the boundary circle by setting z to 4 in the paraboloid.
    Then I did some work to get polar coords:
    x^2+y^2 = 1
    x^2+y^2 = r^2
    1-x^2-y^2 = 1-r^2
    Then I set up my integral as such
    \int_0^{2\pi}\int_{0}^{1}(1-r^2)rdrd\theta
    edit: I used the wrong integrand. It should be 4r-4r^3.
    Last edited by squeeze101; March 25th 2010 at 07:07 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Volume of Solid (polar coordinates)
    Posted in the Calculus Forum
    Replies: 1
    Last Post: July 4th 2010, 04:05 PM
  2. Replies: 2
    Last Post: June 2nd 2010, 10:01 AM
  3. Replies: 1
    Last Post: April 28th 2010, 07:57 PM
  4. Replies: 5
    Last Post: April 22nd 2010, 05:31 PM
  5. Replies: 2
    Last Post: November 20th 2009, 07:09 PM

Search Tags


/mathhelpforum @mathhelpforum