Results 1 to 2 of 2

Math Help - Need a little help starting a shell method problem

  1. #1
    Newbie
    Joined
    Jul 2010
    Posts
    6

    Need a little help starting a shell method problem

    I have no idea how to start this problem off. Just looking for a push in the right direction.

    Find the capacity of a wine barrel with the shape of a solid that is obtained by revolving the region bounded by the graphs of x = R - Ky^2, x = 0, y = -h/2 , and  y = h/2 about the y-axis.

    I would assume the shell method would be easiest to use; however, I am probably wrong haha. Anyone got a few tips to get me started?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    12,109
    Thanks
    970
    Quote Originally Posted by Poptimus View Post
    I have no idea how to start this problem off. Just looking for a push in the right direction.

    Find the capacity of a wine barrel with the shape of a solid that is obtained by revolving the region bounded by the graphs of x = R - Ky^2, x = 0, y = -h/2 , and  y = h/2 about the y-axis.

    I would assume the shell method would be easiest to use; however, I am probably wrong haha. Anyone got a few tips to get me started?
    disks w/r to y would be easier, imho.

    using symmetry about the x-axis ...

    \displaystyle V = 2\pi \int_0^{\frac{h}{2}} (R-ky^2)^2 \, dy
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Finding the shell height in the Shell Method
    Posted in the Calculus Forum
    Replies: 2
    Last Post: September 26th 2009, 02:47 PM
  2. volume problem - cylindrical shell method
    Posted in the Calculus Forum
    Replies: 1
    Last Post: July 20th 2009, 06:57 PM
  3. Replies: 4
    Last Post: January 28th 2009, 08:47 AM
  4. Shell method Volume of a solid problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 30th 2008, 09:08 PM
  5. Replies: 2
    Last Post: August 17th 2008, 01:02 PM

Search Tags


/mathhelpforum @mathhelpforum