Evaluate the Surface Integral $\iint _ { S } z d S$

question 25

Multiple Choice

Evaluate the surface integral $\iint _ { S } z d S$ , where S is that part of the cylinder $z = \sqrt { 1 - x ^ { 2 } }$ that lies above the square with vertices $( - 1 , - 1 ) , ( 1 , - 1 ) , ( - 1,1 )$ , and $( 1,1 )$ .

• A) \(\sqrt { 2 }\)
• B)\(2\)
• C)\(\sqrt { 8 }\)
• D)\(4\)
• E)\(\pi\)
• F)\(2 \pi\)
• G)\(4 \pi\)
• H)\(8 \pi\)

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