What is the moment of inertia of a right circular cone about the axis passing through the center of the circular base and apex of the cone .
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I = (3/10) mr² where m is the mass of the cone and r is the radius of the circular base .
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For moment of inertia of different solids about different axes, you may refer to my free educational website of physics and maths which I have created as a part of my hobby. The following link takes you directly to the table showing the moment of inertias in different cases.
http://schoolnotes4u.com/Physics%20(%20S…
Do you need the proof in the question you asked?
http://schoolnotes4u.com/Physics%20(%20S…
Do you need the proof in the question you asked?