"If you randomly throw three darts at a sphere then on average the surface area of the spherical triangle made using the three darts as vertices will be 1/8th of the sphere volume. This result can be proved quite easily using calculus."
How can a surface area equal a volume?
Davo is correct. The darts will roll off. It's all in the wording of the puzzle.
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"If you randomly throw three darts at a sphere then on average...
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Will Souter, CFO
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