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Google FTW. You were a bit off.
edit: [censored] i am slow
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The person who wrote that should realize that an airplane is best modeled as a cylinder and that it's much easier to estimate the length and diameter of a plane than to arbitrarily guess at the ratio of empty space to space taken up by the passengers.
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also 3 in^3 per ball? isnt that like a softball
EDIT: well nm i guess that means it's 1.5in diameter thats prob a little high but not so bad