Verify Your Results A) $4356 \pi$ B) $726 \pi$ C) $11 \pi$

$\text { Use Stokes's Theorem to evaluate } \int _ { C } \overrightarrow { \mathbf { F } } \cdot d \overrightarrow { \mathbf { r } } \text {.Use a computer algebra system to }$ verify your results. Note: C is oriented counterclockwise as viewed from above.
$\begin{array} { l } \overrightarrow { \mathbf { F } } ( x , y , z ) = 36 x z \hat { \mathbf { i } } + y \hat { \mathbf { j } } + 36 x y \hat { \mathbf { k } } \\S : z = 121 - x ^ { 2 } - y ^ { 2 } , z \geq 0\end{array}$

A) $4356 \pi$
B) $726 \pi$
C) $11 \pi$
D) $121 \pi$
E) 0