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 = -5 yi + 5x j + ln zk ; 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) 80/3 $\pi$
B) 80/3
C) -80/3
D) - 40 $\pi$