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Determine the surface area

  1. Mar 23, 2013 #1
    1. The problem statement, all variables and given/known data

    Find the surface area of the solid obtained by rotating
    y = √9 − X^2 , − 2 ≤ X ≤ 2 about the X-axis.

    2. Relevant equations

    ∏r^2


    3. The attempt at a solution

    Y = (9 - x^2)^-1/2
    Is that can do like this..
    then how bout the power inside the X^2??
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 23, 2013 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    That formula applies to circles only.

    There is a general formula for surface areas of rotated functions. It is possible to derive it, but usually this is not expected for those tasks, so I think the formula is given somewhere.

    Alternatively, draw a sketch of the function. Rotated around the x-axis, it is a well-known object where the surface is easy to calculate.
     
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