Evaluate the Surface Integral of G Over the Surface S $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 9$

question 163

Multiple Choice

Evaluate the surface integral of G over the surface S.
-S is the cap cut from the sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 9$ by the cone $z = \sqrt { x ^ { 2 } + y ^ { 2 } } ; G ( x , y , z ) = \frac { x z ^ { 2 } } { 27 }$

• A) 0
• B) \(12 \pi\)
• C) \(4 \pi\)
• D) \(6 \pi\)

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