Vector Analysis – Evaluate $ int vec {F} .ndS $ where $ S $ is the entire surface of the solid formed by?

Assess $ int vec {F} .ndS $ or $ S $ is the entire surface of the solid formed by $ x ^ 2 + y ^ 2 = a ^ 2, z = x + 1, z = 0 $ and $ n $ is the normal drawn unit and the vector function $ vec {F} = langle2x, -3y, z rangle $

My question is: Can I directly apply the divergence theorem in this regard?