Hello. I am attempting to derive the equation for the moment of inertia of a filled sphere. I do not how how to do the proper notation by typing, so I have attached a scan of my work(I apologize if opening the attachment is inconvenient)(adsbygoogle = window.adsbygoogle || []).push({});

I keep getting the correct order final equation, but my coefficient is 3/5 instead of 2/5. I am trying to do this using only single-variable calculus, so please do not use double integrals, etc unless you think they can be explained to a high schooler. If it is actually impossible to solve this problem using only one-variable integration, please tell me so and explain why. Thank you very much.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Moment of Inertia for a Filled Sphere

**Physics Forums | Science Articles, Homework Help, Discussion**