A $2\mathrm{.}25$ kg thin spherical shell rolls without slipping across a level surface, translating at $4\mathrm{.}00$ m$/$s$.$ If the shell's radius is $0\mathrm{.}460$ m$,$find the following.

HINT

$($a$)$

the shell's translational kinetic energy $($in J$)$

J

$($b$)$

the shell's rotational kinetic energy $($in J$)$

J