Two uniform solid cylinders, each rotating about its central $($longitudinal$)$ axis, have the same mass of $1\mathrm{.}75$ kg and rotate with the same angular speed of $383$ rad$/$s$,$ but they differ in radius. What is the rotational kinetic energy of $($a$)$ the smaller cylinder, of radius $0\mathrm{.}278$ m$,$ and $($b$)$ the larger cylinder, of radius $0\mathrm{.}825$ m$?$