Find the Flux of the Curl of Field F Through $\theta$

Multiple Choice

Find the flux of the curl of field F through the shell S.
-F = -2zi - 8xj - 4yk ; S: r(r, $\theta$ ) = r cos $\theta$ i + r sin $\theta$ j + 2rk, 0 $\le$ r $\le$ 2 and 0 $\le$$\theta$ $\le$ 2 $\pi$

A) 0
B) 32 $\pi$
C) -32 $\pi$
D) -32