Results 1 to 3 of 3

Math Help - Trouble finding volume of revolution..

  1. #1
    Newbie
    Joined
    Nov 2007
    Posts
    4

    Trouble finding volume of revolution..

    The region bounded by the curve y=(sin(x)^4)/x and the x-axis between [0,pi] is revolved about the y-axis to generate a solid. Find the volume of the solid.

    So , I'm having some trouble figuring out what to do after trying to integrate the area of the washer which is the function squared times pi. Any help is appreciated. Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by HclBr View Post
    The region bounded by the curve y=(sin(x)^4)/x and the x-axis between [0,pi] is revolved about the y-axis to generate a solid. Find the volume of the solid.

    So , I'm having some trouble figuring out what to do after trying to integrate the area of the washer which is the function squared times pi. Any help is appreciated. Thanks
    use the shell method, washers not needed.

    V = 2 \pi \int_0^{\pi} \sin^4 x~dx


    (by the way, if you did what i think you did, you're wrong. it seems you used the disk washer method. first of all, you should know that if you're using that, you have to rewrite the function as a function of y and change the limits, etc. that's too much trouble)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Nov 2007
    Posts
    4
    Ah, totally forgot about the shell method, thanks a lot
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: June 1st 2010, 12:02 PM
  2. What good is finding the volume by revolution?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 21st 2008, 09:24 AM
  3. Volume of revolution
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 22nd 2008, 12:09 PM
  4. Problem Finding Volume of Revolution
    Posted in the Calculus Forum
    Replies: 4
    Last Post: September 1st 2008, 07:35 AM
  5. Finding volume of Revolution help
    Posted in the Calculus Forum
    Replies: 1
    Last Post: August 31st 2008, 07:23 AM

Search Tags


/mathhelpforum @mathhelpforum