A uniform solid sphere of radius

r $=0\mathrm{.}480$ m

and mass

m $=13\mathrm{.}5$ kg

turns clockwise about a vertical axis through its center $($when viewed from above$),$ at an angular speed of $3\mathrm{.}20$ rad$/$s$.$ What is its vector angular momentum about this axis? $($Enter the magnitude in kg $$ m$2/$s$.)$

magnitude kg $$ m$2/$sdirection $---$Select$---$ counterclockwise upward clockwise downward