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**imagemania** The question wants me to use Gauss's theorem

$\displaystyle \vec{F} = x\hat{i} + y\hat{j} + {z}^{2}\hat{k}$

Evaluate teh flux on the closed surface it is a cylinder:

$\displaystyle {x}^{2} + {y}^{2} \leq {h}^{2}$

whereby

$\displaystyle 0 \leq z \leq b$

---- attempt ----

$\displaystyle Flux = \iiint \nabla . \vec{F} dV$

$\displaystyle Flux = \iiint (2 + 2Z) dV$

Now i could say dV = dx dy dz but i do not have any arbitary values for x and y do i convert to cylindrical polar coordiantes and use r is between r and 0 and the angle is between 2pi and zero?

Thanks!