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. \( \frac{1022 \pi}{3} \)