Kinetic energy of a hemisphere

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

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