Use the divergence theorem to calculate the flux of the vector field F⃗(x, y, z) = x^2i⃗ + y^2j⃗

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Use the divergence theorem to calculate the flux of the vector field \(\vec{F}(x, y, z) = x^2\vec{i} + y^2\vec{j} + z^2\vec{k}\) out of the closed, outward-oriented surface S bounding the solid \(x^2 + y^2 \le 16, 0 \le z \le 6\). \(\iint_S \vec{F} \cdot d\vec{A} = \square\)