Results 1 to 5 of 5

Math Help - calculus disk mehod

  1. #1
    Junior Member
    Joined
    Jan 2009
    Posts
    32

    Angry calculus disk mehod

    the region boud by y=x^(1/2) ; y=0 when x=0 ad x=4 is revoved about the x-axis. find the value of x in the interval [0,4] that divides the solid into two parts of equal volume.

    please help me thank you i appreciate it!!! i just need a hint on how to set up the problem..like the integral. i can do the rest
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2008
    From
    France
    Posts
    1,458
    Hi

    I do not want to tell rubbish (and actually I cannot find again the relevant page on Wikipedia )

    So I try to find the formula by myself and here is my result

    The volume of a revolution solid around x-axis with a boundary given by y=f(x) is (to be confirmed)

    V = \pi \int_{x_0}^{x_1} f^2(x) dx


    I checked this formula on simple solids and it seems to work properly
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jan 2009
    Posts
    32
    okay thanks i got x equals the square root of 8 as my answer. does anyone know if that's correct?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member ursa's Avatar
    Joined
    Jan 2009
    From
    Delhi
    Posts
    60
    the region boud by y=x^(1/2) ; y=0 when x=0 ad x=4 is revoved about the x-axis. find the value of x in the interval [0,4] that divides the solid into two parts of equal volume.

    please help me thank you i appreciate it!!! i just need a hint on how to set up the problem..like the integral. i can do the rest
    hi
    well acc. to me also same formula should be applied



    u appply it and see if u r gettng the answer
    i suppose it should be proceeded as
    2*V1(from 0 to x1)= V2(from 0 to 4)

    from here you will get the value of x that divides solid into two parts


    okay thanks i got x equals the square root of 8 as my answer. does anyone know if that's correct?
    ya thats the same answer i m gettng
    cross check with the answer given
    Last edited by mr fantastic; January 15th 2009 at 12:31 PM. Reason: Merged posts
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    Jan 2009
    Posts
    32
    thanks so much
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Volume using disk integration
    Posted in the Calculus Forum
    Replies: 3
    Last Post: January 30th 2011, 12:01 PM
  2. Connected Unit Disk
    Posted in the Math Challenge Problems Forum
    Replies: 9
    Last Post: April 29th 2010, 07:16 PM
  3. Disk method.
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 3rd 2010, 02:51 PM
  4. [SOLVED] calculus volume (disk method)
    Posted in the Calculus Forum
    Replies: 3
    Last Post: September 12th 2008, 01:21 PM
  5. Disk of Convergence
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 13th 2007, 06:26 AM

Search Tags


/mathhelpforum @mathhelpforum