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Finding Area

  1. Feb 5, 2007 #1
    1. The problem statement, all variables and given/known data
    Use shell method to find the volume.

    y = 3 - (x^2 / 3) where (x > 0)
    x = 0
    y = 3/2

    roated around x = 3


    2. Relevant equations
    2Pi * Integration of (radius)*(length * width) = Volume


    3. The attempt at a solution
    [​IMG]

    Radius: (x - 3)
    Height: Function
    Width: Delta X

    This is how I see the image.

    2 * Pi Integrationg from 0 to 3 [ (x-3)*(3 - (x^2/3)) ]dx - 2 * Pi * Integration from ? to ? volume of the top piece

    I'm not sure how to get the top piece :(.
     
    Last edited: Feb 5, 2007
  2. jcsd
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