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Volume of largest cylinder

  1. May 17, 2008 #1
    1. The problem statement, all variables and given/known data
    What is the volume of the largest cylinder that can be cut out of a cuboidal log of
    wood of dimensions 30*20*10 inches?
    2. Relevant equations
    volume of cuboid = length*breadth*height
    volume of cylinder= *[radius]²*height


    3. The attempt at a solution

    Radius of largest cylinder=5 inches
    height of largest cylinder=30 inches
    volume of largest cylinder=750 inch³
    But book answer is 1000.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. May 17, 2008 #2

    tiny-tim

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    Hi Amith2006! :smile:
    Yes, the radius is squared but the height is on its own.

    So don't you you want the radius to be as large as possible?

    ooh … gotta go now … Doctor Who starting on telly! :biggrin:
     
  4. May 18, 2008 #3

    so doed it seem ok?
     
  5. May 18, 2008 #4

    tiny-tim

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    No!

    You want the radius to be as large as possible,

    but you've made it the smallest possible (5).

    Try again, and see the difference! :smile:
     
  6. May 19, 2008 #5
    The problem that i face is that i cant cut out a circle of diameter 20 inches because the height is only 10 inches. i can only do so by making the Cross Section oval.
     
  7. May 19, 2008 #6

    tiny-tim

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    No … draw a diagram … 6 bricks in two layers of 3.

    One side is 2 bricks x 3 bricks.

    Draw the circle on that side! :smile:

    (btw, what happened to π in the formula?)
     
  8. May 20, 2008 #7
    thanx.
     
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