(1 point) Use the divergence theorem to calculate the flux of the vector field \( \vec{F}(x, y, z) = x^2 \vec{i} + y^2 \vec{j} + z^3 \vec{k} \) out of the closed, outward-oriented surface S bounding the solid \( x^2 + y^2 \le 4, 0 \le z \le 4 \). \( \iint_S \vec{F} \cdot d\vec{A} = 160\pi \)