As specified in the following table, the earth’s density varies as a function of the distance from its center (r = 0):

Use numerical integration to estimate the earth’s mass (in metric tonnes) and average density (in g/cm³). Develop vertically stacked subplots of (top) density versus radius, and (bottom) mass versus radius. Assume that the earth is a perfect sphere.

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7, km p(g/cm³) 7, km 4500 5380 p(g/cm³) 5.2 4.7 3.6 3.4 0 13 1100 1500 2450 3400 3630 12 11.2 9.7 5.7 12.4 6060 6280 6380 3