$[15$ points$]$ A cylinder container with a hight of $H=0\mathrm{.}4m$ and a radius of $R=0\mathrm{.}15m,$

as shown in the figure below. The container is filled with water at a depth of $h=0\mathrm{.}3m,$

and is sealed to the center of a plate. Consider the water will spin with the container

for a rigid$-$body motion, what is the largest angular velocity $(ra\frac{d}{s})$ can the plate

be spun without losing water $$