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How many smarties can fit in a jar?

Updated: 4/28/2022
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9y ago

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The diameter of a Smartie is 1cm so so r = .005, and its height is 4mm. With negligibly concave ends, the volume of a smartie is pi (5E-3)^2*4E-3 = pi*1E-7 m^3. A 16 oz jar where 1 oz ~ 30 ml, 1 jar ~ 0.5 L = 10cm x 10cm x 4.8cm = 4.8E-4 m^3. Circles pack hexogonally into a square area with an optimal density 1/6 pi root 3 which is approx 0.9069. Figure a random packing is about 10% less than optimal, shaken and settled gives a density more like .82 of the volume. If this is a good assumption, then 0.82 * 4.8E-4 / pi*1E-7 = 1253 smarties / 16 oz jar.

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9y ago
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9y ago

1724 smarties

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Q: How many smarties can fit in a jar?
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