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 = (z - y) i + (x - z) j + (z - x) k; S: r(r, $\theta$ ) = r cos?i + r sin $\theta$ j + ( 25 - ) k, 0 $\le$ r $\le$ 5 and

A) -100 $\pi$
B) 50 $\pi$
C) -50 $\pi$
D) 100 $\pi$