Chapter 15.7, Problem 4QCE

If $\text{F(r)}=\frac{c}{{‖\text{r}‖}^3}r$ is an inverse-square field, and if $\sigma$ is a closed orientable surface that surrounds the origin, then Gauss’s law states that the outward flux of F across $\sigma$ is $\text{\_\_\_\_\_\_\_\_\_}\text{.}$ On the other hand, if $\sigma$ does not surround the origin, then that it follows from the Divergence Theorem that the outward flux of F across $\sigma$ is $\text{\_\_\_\_\_\_\_\_\_}\text{.}$