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Using Gauss's Divergence theorem the value of \( \iint_{s} \vec{F} \cdot \hat{n} d s \) where \( S \) is the surface of the sphere \( x^{2}+y^{2}+z^{2}=16 \) and \( \vec{F}=3 x \hat{i}+4 y \hat{j}+5 z \hat{k} \), is Select one: a. \( \frac{1023 \pi}{3} \) b. \( \frac{1021 \pi}{3} \) C. \( \frac{1024 \pi}{3} \) d. \( \frac{1022 \pi}{3} \)

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