Ping pong ball packing?

  • Thread starter astrostar2
  • Start date
  • #1
astrostar2
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Homework Statement


Estimate the number of ping pong balls (of radius 2cm) that would fit into a typical-sized room (without being crushed). A typical room is 17ft x 17ft x 7ft.


Homework Equations


none


The Attempt at a Solution


I tried a couple things:
1. After converting all dimensions to cm, I tried to see how many cubes of edge length 4cm would fit in the room.
2. I used a "spherical packing" method where I found the total volume of the room and multiplied it by .70.

Any help would be greatly appreciated :)
 

Answers and Replies

  • #2
lewando
Homework Helper
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What were the results of what you have tried?
 
  • #3
rcgldr
Homework Helper
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4 cm spheres can be packed closer together than 4 cm cubes. You'll need to figure out a pattern for the packing.
 

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