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KRuchan
on July 9, 2014
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Cylinders in Spheres
Maybe I am missing something here, but why is 1 a neat problem? You are increasing the radius by 1 meter so the length of the band is now 2
pi
(r_e + 1) making the increment 2*pi meters. Is the surprisingly low increment the point of the problem?
Jun8
on July 9, 2014
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Most people when faced with 1 and knowing the huge circumference of the Earth estimate (using Sytem 1 type thinking,
http://en.wikipedia.org/wiki/Dual_process_theory#System_1
) it would be longer by kilometers.
JoshTriplett
on July 9, 2014
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Yes, exactly; if you don't start out by doing the math, the result can seem unintuitive.
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