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# Spheres in Spheres

How many metal balls of unit volume can be inserted in a shell of volume V? Don't say it is just $$\frac{V}{1}$$! There are voids between metal balls when they are closely packed. Indirectly, I wanted to ask: how much space has been wasted while packing?

Note by Maharnab Mitra
3 years, 8 months ago

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The best sphere packing density that can be achieved (by <a href="http://en.wikipedia.org/wiki/Kepler_conjecture">Kepler's conjecture</a>) is exactly $$\frac{\pi}{3\sqrt{2}}\approx 74.04802 \%$$ · 3 years, 8 months ago