Quote:
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could be putting anything from ten to a hundred balls into the goal.
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If you filled the entire volume of your robot with spheres, you'd only be able to fit 50 spheres in your robot. Proof:
Maximum volume of robot,
M=34,560 inches cubed.
Volume of sphere,
S=4/3*PI*5^3=523.6 inches cubed
Optimum packing order of spheres,
P=0.74
Maximum amount of balls in robot:
M*
P/
S=49. Q.E.D