Asked by anointed

A gymnasium is 5m high, 24m long and 12m wide. The

diameter of a basketball is about 24cm.

▶
Make an estimate of the number of basketballs that

they would serve to fill the gym without being

crushed.

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Answered by Anonymous
Oh my,
try wikipedia sphere packing
Answered by oobleck
the simplest packing is just a rectangular lattice of 24cm cubes, each holding one ball.

chopping off the unused space because 5m is not a multiple of 24cm, the gym's dimensions in terms of 24cm cubes, is
20 by 100 by 50 = 100,000 balls
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