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
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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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!!!!
Now since the balls in each layer will be displaced by 60 degrees, the height becomes even harder to calculate. Have fun!!!!