Inertia Tensors for Fractional Volumes: How to Calculate?

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Homework Statement


How do you find the tensor of inertia for fractions of the usual volumes?
(like half of a sphere, half of a cylinder, half of a disk, quarter of a disk, etc.)

I already know the tensor of inertia for the whole volume.
Take M as the fraction of the volume's mass, not the whole volume's.

Homework Equations



The Attempt at a Solution


I have no idea where to start...

Thanks.
 
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