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The radius of the Earth is 6

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The radius of the Earth is 6.37×106m3kgm33kgm337kgm2  Assume a simple non-uniform model of its density, where the inner region has a density of 7.7×10 /, and the outer region has a density of 3.3×10 /. Given that the rotational inertia of the Earth is 8.20×10 ·, what is the radius of the inner region?