Kinetic energy of a hemisphere

A solid hemisphere of radius R=0.5 mR=0.5~\mbox{m} and mass M=1 kgM=1~\mbox{kg} rotates with angular speed ω=10 rad/s\omega=10~\text{rad/s} about an axis passing through its center O and making and angle θ=60\theta=60^{\circ} with the vertical (see the figure below). Determine the kinetic energy in Joules of the hemisphere.

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