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Homework Help: Find the volume of the solid obtained by rotating the region

  1. Jul 25, 2010 #1
    1. The problem statement, all variables and given/known data
    Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. About x axis.
    1)
    y=1-x2
    y=0



    2. Relevant equations



    3. The attempt at a solution

    I sketched a curve and a region. A typical disk and a solid? And please check the solution?
     

    Attached Files:

  2. jcsd
  3. Jul 25, 2010 #2
    Everything looks good. Good job!
     
  4. Jul 25, 2010 #3
    I drew a little sketch to give you some extra intuition on solids of revolution.

    See figure.
     

    Attached Files:

    • sori.JPG
      sori.JPG
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  5. Jul 25, 2010 #4
    That's great, thank you! I will try now to solve both of the problems. Let's see what happens.
     
  6. Jul 25, 2010 #5
    Hey, where is the solid located on the function?
     
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