1. The problem statement, all variables and given/known data If the gravitational field vector g inside a sphere is independent of the distance from the center of the sphere r, how does the density ρ(r) of the sphere vary as a function of r? 2. Relevant equations gauss' law for gravity: integrate g*da=4*pi*G integrate ρ(r) dv 3. The attempt at a solution So far i have g=contant= (a/r^2) integrate 0 to r r^2 dr im not sure what to do next.