Verify the Divergence Theorem for the vector field and region:

$\mathbf{F} = \left< 6x ,3z ,8y \right>$ and the region $x^2+y^2\le 1$, $0\le z \le 3$

$\iint_{\mathcal{S}} \mathbf{F} \cdot d\mathbf{S} =$

$\iiint_{\mathcal{R}} \text{div} (\mathbf{F}) \,dV=$