Calculate the flux of F=⟨xz,yz,z2⟩\mathbf{F} = \langle xz, yz, z^2 \rangleF=⟨xz,yz,z2⟩ through the sphere x2+y2+z2=a2x^2 + y^2 + z^2 = a^2x2+y2+z2=a2 oriented outwards.
83πa4\frac{8}{3} \pi a^438πa4
2πa42\pi a^42πa4
4πa34\pi a^34πa3
43πa4\frac{4}{3} \pi a^434πa4