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Angular momentum of a rotating rigid object

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A uniform solid sphere of radius 0.500 m and mass of 15.0kg turns counterclockwise about a vertical axis through its center. Find its vector angular momentum when its angular speed is 3.00 rad/s.

I think I have worked this problem correctly. (See attachment) Please check my answer and confirm if in correct please point out area of error where I can rework this.

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