Evaluate $\iint _ { S } f ( x , y , z ) d S$

question 113

Multiple Choice

Evaluate $\iint _ { S } f ( x , y , z ) d S$ .
$f ( x , y , z ) = 2 x + 2 y + 5 z ; S$ is the part of the cone $z = \sqrt { x ^ { 2 } + y ^ { 2 } }$ between the planes $z = 1$ and $z = 2$ .

• A) \(70 \pi \sqrt { 2 }\)
• B) \(70 \sqrt { 2 }\)
• C) \(\frac { 70 } { 3 } \pi \sqrt { 2 }\)
• D) 0

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