A solid cylinder, solid sphere, and a thin$-$walled hollow cylinder, each with the same mass and radius, roll without slipping with angular speeds $1,$ $2,$ and $$$3,$ respectively. If they have the same angular momentum about an axis through their center of mass, which of the following statements is true?

$1<$ $2<$ $3$

$2<$ $1<$ $3$

$3<$ $1<$ $2$

$3<$ $2<$ $1$