$(a)\;\large\frac{\rho_{0} R^3}{8 \in_{0} r^2}\qquad(b)\;\large\frac{\rho_{0} R^3}{12 \in_{0} r^2}\qquad(c)\;\large\frac{\rho_{0} R^3}{8 \in_{0} r}\qquad(d)\;\large\frac{\rho_{0} R^3}{12 \in_{0} r}$