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LARCALCET$715\mathrm{.}8\mathrm{.}017.$

$q,$

$q,$

The motion of a liquid in a cylindrical container of radius $2$ is described by the velocity field $F(x,y,z).$ Find ${\displaystyle \underset{S}{\overset{\phantom{}}{}}}{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(curlF)*NdS,$ where $S$ is the upper surface of the cylindrical container.

$F(x,y,z)=-\frac{1}{6}{y}^{3}i+\frac{1}{6}{x}^{3}j+8k$