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Finding the volume

  1. Dec 26, 2005 #1
    Hi,
    Is there a guideline that one can follow when finding the volume of a solid obtained by revolving over a region. The three methods that i know are disk, washer, and shell method. But i dont know when to apply which method. My book doesn't explain it clearly. If anyone could help me with this, i will appreciate it. Thanking you, and have a safe and wonderful holiday.
     
  2. jcsd
  3. Dec 26, 2005 #2

    Depends on the symmetry of the object and how it is rotated, but you can apply both if you want. Actually, this is a good exercise...

    Check out :

    shell method I used this website when i tutored students in college. I recommend it...
    disk and shell method

    regards
    marlon
     
  4. Dec 26, 2005 #3

    Tide

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    You could use Pappus' Second Theorem.
     
  5. Dec 27, 2005 #4
    thanks marlon, i will check it out.
     
  6. Dec 27, 2005 #5
    I am not familiar with Pappus' Second theorem. We never learned that theorem. Thanks
     
  7. Dec 28, 2005 #6
    You use the disk method when you know you can distinquish a inner and outer fuction, and want to produce a glass china.
    To use the waster method, you are trying to find many A(x), to do a intergral of many A(x)dx s. you see, A(x) can have different geometries( If you were to do a disk erercise with and waster method, then A(x) is always a damn circle)
    The shell method is sort of like the waster method, but all you are doing is rotating a figure accross a given axis.
    My recommendation is to read that section 5 times, and try to understand it intuitively. My advice cannot do a damn thing for you, but it helps me to reflect more deeply.
     
    Last edited: Dec 28, 2005
  8. Dec 28, 2005 #7

    siddharth

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  9. Jan 2, 2006 #8
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