Find the Flux of the Vector Field F Across the Surface

question 229

Multiple Choice

Find the flux of the vector field F across the surface S in the indicated direction.
- $\mathbf { F } ( x , y , z ) = z k , S$ is the surface of the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4$ in the first octant, direction away from the origin

• A) \(\frac { 8 } { 3 } \pi\)
• B) \(\frac { 4 } { 3 } \pi\)
• C) 0
• D) \(2 \pi\)

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