Subtopic: Physical interpretations – line, surface and volume integrals
Question Statement:
Using Gauss Divergence Theorem, evaluate the outward surface integral $\iint_S \vec{F} \cdot \hat{n}\, dS$, where $\vec{F} = 2x\hat{i} + 3y\hat{j} + 4z\hat{k}$ and $S$ is the surface of a sphere of radius $R = 1$ centered at origin. (Take $\pi = 3.1416$)