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Shell method

  1. Feb 12, 2013 #1
    1. The problem statement, all variables and given/known data
    use the shell method to find the volume of the region rotated about the x-axis.


    2. Relevant equations
    y=3x+10
    y=x^2


    3. The attempt at a solution
    2∏ (integral) (0 to 25) [ (y) (sqrt(y) - (y-10)/3) dy ]
     
  2. jcsd
  3. Feb 12, 2013 #2

    Mark44

    Staff: Mentor

    What's the question?
     
  4. Feb 12, 2013 #3
    is my attempt correct so far? just setting up the integral? becuase i keep getting the wrong answer.

    my answer: 1111 (pi); correct answer: 5488pi/5
     
  5. Feb 12, 2013 #4

    Mark44

    Staff: Mentor

    First off, did you draw a picture of the region, and did you draw a sketch of the solid of revolution?

    If so, you should have noticed that one integral isn't going to work for this problem. The boundary function on the left changes at the point (-2, 4).
     
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