Chapter 6.8, Problem 407E

For the following exercises, use a CAS and the divergence theorem to compute the net outward flux for the vector fields across the boundary of the given regions D.

407. Use the divergence theorem to evaluate ${\displaystyle {\iint }_s\Vert R\Vert R\cdot nds}$ , where $R\left(x,y,z\right)=xi+yj+zk$ and S is sphere $x^2+y^2+z^2=a^2$ , with constant $a>0$ .