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Two machine parts are connected by a cylindrical rod of length L, thermal conductivity k, and...

Two machine parts are connected by a cylindrical rod of length L, thermal conductivity
k, and circular cross sectional radius R. If this rod is replaced by another one
of the same length, but with thermal conductivity 2k and a square cross section with
side length 2R, by what factor does the rate of heat conduction increase?

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