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Finding length segment of an ellipse

  1. Mar 27, 2013 #1
    1. The problem statement, all variables and given/known data

    i'm having trouble with these solid of revolution problems because a lot of them require you to find "length of the segment" before evaluating the problem. example:
    a solid lies between planes perpendicular to x=-5 and x=5. the cross section in the xy plane is the ellipse ((x2)/25)+((y2)/36)=1.

    2. Relevant equations
    find L=f(x)


    3. The attempt at a solution
    does that mean i mean i have to make the given equation a function of x? because when i attempt that, it does not turn out to be correct.
    according to the example this is the correct result, L=(12/5)√(25-x2) how can i arrive at that result?

    thank you in advance. by the way, i am posting from my ipad so if the format of the question is not correct, i apologize.
     
  2. jcsd
  3. Mar 27, 2013 #2

    LCKurtz

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    I have no idea what you are asking. What does "find L = f(x)" mean? Or "find a length segment"? Volume or surface area might make sense.

    [Edit] Maybe you are asking for the radius of revolution about the x axis? In which case you would solve for y.
     
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