The figure shows $an$ open cylindrical

can, $S,$ standing $on$ the $xy-$plane,

where the curve $Cis$ a circle $of$ radius $8$

centered $on$ the $zS$ has a bottom and sides, but $no$ top.$C$ are:

$(b)IfSis$ oriented outward and downward,

${\displaystyle \underset{S}{\overset{\phantom{}}{}}}$curl$(-$yvec$(i)+$xvec$(j)+$zvec$(k))*dvec(A)=$

NOTE: Enter the exact answer, $or$ round $to$ three decimal places.