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 = 5yi + 4xj + cos(z) k ; S: r(r, $\theta$ ) = 3 sin cos $\theta$ i + 3 sin 11ee985c_d98c_07fb_a6de_8d8f17a9f06c_TB9662_11 sin $\theta$ j + 3 cos $\theta$ k, 0 $\le$ $\theta$ $\le$ 2 $\pi$ and 0 $\le$ 11ee985d_0f76_375c_a6de_6187f79fad1a_TB9662_11 $\le$ 11ee9522_34ee_dc82_bdb6_c59ee305f058_TB9662_11

A) -18 $\pi$
B) -9
C) -9 $\pi$
D) 18 $\pi$