Evaluate the Surface Integral of G Over the Surface S $S$

question 68

Multiple Choice

Evaluate the surface integral of G over the surface S.
- $S$ is the hemisphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 3 , z \geq 0 ; G ( x , y , z ) = z ^ { 2 }$

• A) \(6 \pi\)
• B) \(4 \pi\)
• C) \(36 \pi\)
• D) \(3 \pi\)

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