Moment of Inertia of a Spherical Shell, Derivation

This is a derivation of the moment of inertia of a spherical shell, where the axis of rotation is through it's center.
I hope that you enjoy the video! Please comment with any questions or suggestions you have for future videos!

[@frankshuzhi]

Thinking it in terms of a derivative of a solid sphere is brilliant. However, assuming one does not know the moment of inertia of a solid sphere, is there a way to just use integration to calculate this?

[@jameslucarelli7172]

how do you know the volume of the sphereical shell with out deriving it?

[@aDiamonda]

thank you so much i appreciate you so much

[@romariesantiago278]

How about the moment of inertia of thin spherical shell of radius about any diameter?

[@e.a.5330]

haha this is a sneaky way to do that, just like a physicist would do. mathematicians disliked.

[@aadetyajaiswal6032]

great video... thnks for providing another method for deriving the moment of inertia