Gravity inside the Earth finds the gravitational force that the earth exerts on a 10.0-kg mass if it is placed at the following locations. Consult Fig. 12.9, and assume a constant density through each of the interior regions (mantle, outer core, inner core), but not the same density it each of these regions. Use the graph to estimate the average density for each region.
(a) At the surface of the earth;
(b) At the outer surface of the molten outer core;
(c) At the surface of the solid inner core;
(d) At the center of the earth.