The Motion of a Liquid in a Cylindrical Container of Radius

Multiple Choice

The motion of a liquid in a cylindrical container of radius 1 is described by the velocity field $\mathbf { F } ( x , y , z ) = 5 \mathbf { i } + 6 \mathbf { j } - 7 \mathbf { k }$ . Find $\iint _ { S } ( \operatorname { curl } \mathbf { F } ) \cdot \mathbf { N } d S$ , where $S$ is the upper surface of the cylindrical container.

A) 5
B) 7
C) 2
D) 0
E) 3