Asphere of radius r_0 has total charge q. the volume charge density (c\m^3) within the sphere is ρ ρ (r) = c/(r^2), where c is a constant to be determined. part a the charge within a small volume dv is dq = ρ ρ dv. the integral of ρ ρ dv over the entire volume of the sphere is the total charge q. use this fact to determine the constant c in terms of q and r_0. express your answer in terms of pi, q, and r_0. part b use gauss's law to find an expression for the magnitude of the electric field e inside the sphere, r ≤ ≤ r_0. express your answer in terms of q, r_0, r and appropriate constants. relevant equations and whatnot : -) gauss' law for a sphere: 4pi(r^2)e = q_in/ ϵ ϵ _0 q = ρ ρ * v