A uniform spherical shell of radius $3\mathrm{.}50$ cm and a uniform cylinder of radius $9\mathrm{.}00$ cm are rolling without slipping along the same floor. The two objects have the same mass.

If they have the same total kinetic energy, determine the ratio of the spherical shell's angular speed ${}_{shl}$ to the cylinder's angular speed ${}_{cyl}.$

$\frac{{}_{shl}}{{}_{cyl}}=$