I'm making a cylinder?!
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I'm making a cylinder?!

[From: ] [author: ] [Date: 13-02-28] [Hit: ]
Have fun!!!!......
kk, so i need to design a cylinder container that holds 9 balls(each with a radius of 3.4cm) using the least amount of material but still keeping the balls tightly packed. (Not bouncing araound) What should the dimensions of my cylinder be? I tried like every possible dimensions but it wont work?

If you know, can you please help, and explain? Thanks. :D

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The diameter of the cylinder should be slightly more than the diameter of the ball (so the balls won't get stuck):
d = 2r = 6.8cm, make it 6.85cm
Length of the cylinder is slightly more than 9 times the diameter of a ball:
9(6.8cm) = 61.2cm, make it 61.25cm

A cylindrical can 6.85cm diameter and 61.25cm long will hold the balls reasonably closely but not getting stuck in the can.

- .--

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I'm thinking you need a cylinder that will hold 3 layers of 3 balls in each layer. The diameter (tough question) is the diameter of a circumscribed circle around 3 touching circles of 6.8cm diameter.
Now since the balls in each layer will be displaced by 60 degrees, the height becomes even harder to calculate. Have fun!!!!
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