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Volume of Solid (Washer Method)

  1. Jun 13, 2012 #1
    1. The problem statement, all variables and given/known data
    Just need to verify that my working is correct ^^
    Need to find the volume given by the region of the xy-plane that is bounded by the curves
    x = 0 and x = y − y2 .
    Rotated about y-axis

    2. Relevant equations



    3. The attempt at a solution
    I used the disk method.
    V = pi * ∫ (y-y^2)^2 dy
    Since outer radius is the curve and inner is y = 0
     
  2. jcsd
  3. Jun 13, 2012 #2

    ehild

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    Gold Member

    It is correct, but you need to include the boundaries of integration. What are they?

    ehild
     
  4. Jun 13, 2012 #3
    oh yeah, 1 and 0 would the terminals right?
    sorry
     
  5. Jun 14, 2012 #4

    ehild

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    Gold Member

    Yes.

    ehild
     
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