Results 1 to 2 of 2

Math Help - Calculating the Volume of a Rotation.

  1. #1
    Newbie
    Joined
    Jan 2010
    Posts
    1

    Calculating the Volume of a Rotation.

    Could anyone help me out with these problems? I am having trouble solving them.

    Find the volume of the solid obtained by the rotation of y=3x^2-x+4 and y=-x^2+3X+12 about the x-axis.

    Find the volume of the solid obtained by rotating the region bounded by x=2y-y^2 and x=y^2-4y about the line y=-3.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,894
    Thanks
    691
    Quote Originally Posted by ImperialHot View Post
    Could anyone help me out with these problems? I am having trouble solving them.

    Find the volume of the solid obtained by the rotation of y=3x^2-x+4 and y=-x^2+3X+12 about the x-axis.

    Find the volume of the solid obtained by rotating the region bounded by x=2y-y^2 and x=y^2-4y about the line y=-3.
    find the x-values of intersection of the two parabolas, x = a and x = b , then use the method of washers ...

     <br />
V = \pi \int_a^b [R(x)]^2 - [r(x)]^2 ~dx<br />

    where R(x) is the outer washer radius and r(x) is the inner washer radius.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: August 7th 2010, 11:54 PM
  2. Volume by rotation
    Posted in the Calculus Forum
    Replies: 2
    Last Post: December 4th 2009, 07:00 AM
  3. volume by rotation about x axis
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 26th 2008, 05:12 AM
  4. Volume by rotation
    Posted in the Calculus Forum
    Replies: 4
    Last Post: September 15th 2008, 09:05 AM
  5. volume of rotation
    Posted in the Calculus Forum
    Replies: 3
    Last Post: March 18th 2007, 01:16 PM

Search Tags


/mathhelpforum @mathhelpforum