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

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