Results 1 to 4 of 4

Math Help - Approximate error in circumference.

  1. #1
    Newbie
    Joined
    Apr 2010
    Posts
    2

    Approximate error in circumference.

    A ball company manufactures many round sports balls, in order to fit the right number of balls into each box, their volume can vary by at most 1%. How accurately must the circumference be measured to ensure each box contains the right number of balls?

    I know the answer is 1/3, but cant seem to get it right

    Thanks guys!!
    Last edited by mr fantastic; April 16th 2010 at 04:29 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by dearppl View Post
    A ball company manufactures many round sports balls, in order to fit the right number of balls into each box, their volume can vary by at most 1%. How accurately must the circumference be measured to ensure each box contains the right number of balls?

    I know the answer is 1/3, but cant seem to get it right

    Thanks guys!!
    V = \frac{4}{3} \pi r^3. Therefore:

    C = 2 \pi r \Rightarrow C^3 = 8 \pi r^3 = 6V \Rightarrow C = (6V)^{1/3}.

    Now apply the linear approaximation.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Apr 2010
    Posts
    2
    sorry i am not quite sure where you are getting to, can you please explain more and the further steps thank you!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by dearppl View Post
    sorry i am not quite sure where you are getting to, can you please explain more and the further steps thank you!
    Go back and review linear approximation in your class notes or textbook. Then read my reply again. Please be specific if, after doing this, you still need help.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Error in approximate formula
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: August 13th 2010, 06:33 AM
  2. Replies: 1
    Last Post: December 10th 2009, 10:48 PM
  3. Replies: 5
    Last Post: July 28th 2009, 07:59 PM
  4. Replies: 0
    Last Post: April 1st 2009, 04:22 AM
  5. Replies: 1
    Last Post: February 21st 2009, 05:19 AM

Search Tags


/mathhelpforum @mathhelpforum