Evaluate $\int Fnds$ over the entire surface of the region bounded above $xy$ plane bounded by the cone $z^2 = x^2 + y^2$ and the plane $z =4$ If $F = \hat{i} +\hat{j} - 3\hat{k}$ then Find $\int Fnds$
My question Is can I use Gauss Divergence theorem here ?
Because If I use Gauss Divergence then $\nabla.F =0$ hence Surface Integral Must be $0$.
Is this correct way to solve this ?
Can anyone please Explain?
Yes you are right, since we are asked to find the flux through a closed surface and $\nabla\cdot F =0$, the total flux is equal to zero.
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