Let $\mathbf { F } ( x , y , z ) = y ^ { 2 } \mathbf { i } + x \mathbf { j } + z ^ { 2 } \mathbf { k }$

Multiple Choice

Let $\mathbf { F } ( x , y , z ) = y ^ { 2 } \mathbf { i } + x \mathbf { j } + z ^ { 2 } \mathbf { k }$ and C be the boundary of $z = x ^ { 2 } + y ^ { 2 }$ below z = 1. Using Stokes' Theorem, $\int _ { C } \mathbf { F } \cdot \mathbf { T } d s$ is

A) 5 $\pi$
B) 4 $\pi$
C) 3 $\pi$
D) 2 $\pi$
E) $\pi$