Quote:
Originally Posted by AMendenhall
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
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Not quite. The
diameter of the sphere is 5", so the radius is 2.5". You're off by a factor of 8.
Edit: Also, the balls are slightly squishy. In addition, you can pile a hill of balls higher than your robot max height and hold them all.