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  4. Marbles Puzzle.

Marbles Puzzle.

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  • C Offline
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    ColinDavies
    wrote on last edited by
    #1

    Ok, it seems to be math puzzle week here so I'm submitting this puzzle which is actually a calcuation problem. 1. I'm make this up as I go so I don't know the answer. 2. There are an unlimited number of non compressable spherical marbles with a diamater of 2 cm. 3. There is a cylinrical container which when closed with a lid has an internal diameter of 10 cm and a height of 13 cm. What is the maximum number of marbles you can actually place inside the container and then place the lid on without distorting the cylinders shape. Please show working as well as answer. :-) Have Fun. Regardz Colin J Davies

    Sonork ID 100.9197:Colin

    More about me :-)

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    • C ColinDavies

      Ok, it seems to be math puzzle week here so I'm submitting this puzzle which is actually a calcuation problem. 1. I'm make this up as I go so I don't know the answer. 2. There are an unlimited number of non compressable spherical marbles with a diamater of 2 cm. 3. There is a cylinrical container which when closed with a lid has an internal diameter of 10 cm and a height of 13 cm. What is the maximum number of marbles you can actually place inside the container and then place the lid on without distorting the cylinders shape. Please show working as well as answer. :-) Have Fun. Regardz Colin J Davies

      Sonork ID 100.9197:Colin

      More about me :-)

      L Offline
      L Offline
      Lost User
      wrote on last edited by
      #2

      This problem is solvable only if all the measurements are in inches!:-D

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      • L Lost User

        This problem is solvable only if all the measurements are in inches!:-D

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        Lost User
        wrote on last edited by
        #3

        First trial approximation = 211.25 marbles:)

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        • L Lost User

          This problem is solvable only if all the measurements are in inches!:-D

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          ColinDavies
          wrote on last edited by
          #4

          Anonymous wrote: This problem is solvable only if all the measurements are in inches! Gosh !! Regardz Colin J Davies

          Sonork ID 100.9197:Colin

          More about me :-)

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          • C ColinDavies

            Anonymous wrote: This problem is solvable only if all the measurements are in inches! Gosh !! Regardz Colin J Davies

            Sonork ID 100.9197:Colin

            More about me :-)

            L Offline
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            Lost User
            wrote on last edited by
            #5

            ****Colin Davies wrote: Anonymous wrote: This problem is solvable only if all the measurements are in inches! Gosh !! just kidding. you know it isn't true!:)

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            • C ColinDavies

              Ok, it seems to be math puzzle week here so I'm submitting this puzzle which is actually a calcuation problem. 1. I'm make this up as I go so I don't know the answer. 2. There are an unlimited number of non compressable spherical marbles with a diamater of 2 cm. 3. There is a cylinrical container which when closed with a lid has an internal diameter of 10 cm and a height of 13 cm. What is the maximum number of marbles you can actually place inside the container and then place the lid on without distorting the cylinders shape. Please show working as well as answer. :-) Have Fun. Regardz Colin J Davies

              Sonork ID 100.9197:Colin

              More about me :-)

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              David Wengier
              wrote on last edited by
              #6

              ****Colin Davies wrote: What is the maximum number of marbles you can actually place inside the container and then place the lid on without distorting the cylinders shape Whole marbles? -- David Wengier Sonork ID: 100.14177 - Ch00k

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              • D David Wengier

                ****Colin Davies wrote: What is the maximum number of marbles you can actually place inside the container and then place the lid on without distorting the cylinders shape Whole marbles? -- David Wengier Sonork ID: 100.14177 - Ch00k

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                ColinDavies
                wrote on last edited by
                #7

                Yes whole complete marbles, David. So you are not permitted to pulverize them. :-) Regardz Colin J Davies

                Sonork ID 100.9197:Colin

                More about me :-)

                1 Reply Last reply
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                • C ColinDavies

                  Ok, it seems to be math puzzle week here so I'm submitting this puzzle which is actually a calcuation problem. 1. I'm make this up as I go so I don't know the answer. 2. There are an unlimited number of non compressable spherical marbles with a diamater of 2 cm. 3. There is a cylinrical container which when closed with a lid has an internal diameter of 10 cm and a height of 13 cm. What is the maximum number of marbles you can actually place inside the container and then place the lid on without distorting the cylinders shape. Please show working as well as answer. :-) Have Fun. Regardz Colin J Davies

                  Sonork ID 100.9197:Colin

                  More about me :-)

                  R Offline
                  R Offline
                  Rama Krishna Vavilala
                  wrote on last edited by
                  #8

                  This is what I call a math problem. I do not even know if this problem can be solved by mathematical means. I am going to purchase some marbels and make up a cylinder. See you after some time :-)

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                  • R Rama Krishna Vavilala

                    This is what I call a math problem. I do not even know if this problem can be solved by mathematical means. I am going to purchase some marbels and make up a cylinder. See you after some time :-)

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                    ColinDavies
                    wrote on last edited by
                    #9

                    :-) Rama Rama Krishna wrote: I do not even know if this problem can be solved by mathematical means. I have already got several different answers. :-) Rama Krishna wrote: I am going to purchase some marbels and make up a cylinder. See you after some time Ok, That sounds like a good solution. :-O Regardz Colin J Davies

                    Sonork ID 100.9197:Colin

                    More about me :-)

                    1 Reply Last reply
                    0
                    • C ColinDavies

                      Ok, it seems to be math puzzle week here so I'm submitting this puzzle which is actually a calcuation problem. 1. I'm make this up as I go so I don't know the answer. 2. There are an unlimited number of non compressable spherical marbles with a diamater of 2 cm. 3. There is a cylinrical container which when closed with a lid has an internal diameter of 10 cm and a height of 13 cm. What is the maximum number of marbles you can actually place inside the container and then place the lid on without distorting the cylinders shape. Please show working as well as answer. :-) Have Fun. Regardz Colin J Davies

                      Sonork ID 100.9197:Colin

                      More about me :-)

                      L Offline
                      L Offline
                      Lost User
                      wrote on last edited by
                      #10

                      square area of the base of the cylinder = PI*5*5 = 25*PI square area of the middle cross section of a marble = PI*1*1 = PI no.of marbles that can cover the base =(25*PI) / PI = 25 No. of marbles that can be stacked top to bottom of the cylinder in one column = 13/2 = 6.5 = 6 approx. since half marbles are not allowed total no. marbles = 25 * 6= 150

                      1 Reply Last reply
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                      • C ColinDavies

                        Ok, it seems to be math puzzle week here so I'm submitting this puzzle which is actually a calcuation problem. 1. I'm make this up as I go so I don't know the answer. 2. There are an unlimited number of non compressable spherical marbles with a diamater of 2 cm. 3. There is a cylinrical container which when closed with a lid has an internal diameter of 10 cm and a height of 13 cm. What is the maximum number of marbles you can actually place inside the container and then place the lid on without distorting the cylinders shape. Please show working as well as answer. :-) Have Fun. Regardz Colin J Davies

                        Sonork ID 100.9197:Colin

                        More about me :-)

                        R Offline
                        R Offline
                        Roger Allen
                        wrote on last edited by
                        #11

                        This sounds like Keplars sphere packing problem from 1609. :eek: Roger Allen Sonork 100.10016 If I had a quote, it would be a very good one.

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                        • R Roger Allen

                          This sounds like Keplars sphere packing problem from 1609. :eek: Roger Allen Sonork 100.10016 If I had a quote, it would be a very good one.

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                          Russell Morris
                          wrote on last edited by
                          #12

                          Roger Allen wrote: Keplars Thank you!!!! I've been trying to remember who posited the problem in the first place, but for the life of me I couldn't remember. From how I heard it, it was first posited as "how can you most efficiently stack X number of cannon-balls into the smallest area possible". -- Russell Morris "WOW! Chocolate - half price!" - Homer Simpson, while in the land of chocolate.

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                          • R Russell Morris

                            Roger Allen wrote: Keplars Thank you!!!! I've been trying to remember who posited the problem in the first place, but for the life of me I couldn't remember. From how I heard it, it was first posited as "how can you most efficiently stack X number of cannon-balls into the smallest area possible". -- Russell Morris "WOW! Chocolate - half price!" - Homer Simpson, while in the land of chocolate.

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                            ColinDavies
                            wrote on last edited by
                            #13

                            Russell Morris wrote: cannon-b Yes, I remember doing something similar many years ago also. Regardz Colin J Davies

                            Sonork ID 100.9197:Colin

                            More about me :-)

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