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)$8 \pi$

Question

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)$8 \pi$

Quizplus · Accepted Answer

The Answer of 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)$8 \pi$

Evaluate the Surface Integral ∬SzdS\iint _ { S } z d S∬S​zdS

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