Compare the gravitational force inside a solid sphere, at the surface of a solid sphere, and outside of a solid sphere at various distances using Newton$$s Universal Law of Gravitation. $[$Hint: The answer is an algebraic expression for all three cases, but one case is calculated to an exact number.$]$

Constants: G$=6\mathrm{.}6710-11$Nm$2$kg$2$Radius of the Earth rE$=6\mathrm{.}378106$ m