Let $Ebe$ the solid region bounded $by$ the paraboloid $z=x^2+y^2$ and the plane $z=9.$ Let $Sbe$ the

closed surface which $is$ the boundary $ofE$ and give $S$ the outward orientation. Let vec$(F)be$ the vector

field defined $by$ vec$(F)=($:$x,2y,3z$:$).In$ the space beneath part $(iii),$

$(i)$ Sketch the solid $E$

$(ii)$ Find the surface area $ofS$

$(iii)$ Find the flux $of$ vec$(F)$ across $S.$