Ratio H/R to in tensor problem, just making sure i did this right

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The discussion confirms that the ratio of height to radius (h/R) required for all diagonal elements of the inertia tensor to be equal is indeed sqrt(3). The user initially questioned their calculations but received affirmation that their algebra was correct. The conversation emphasizes the importance of verifying the equality of the inertia tensor components. The final consensus is that the derived ratio is accurate. This solution clarifies the relationship between height and radius in the context of inertia tensors.
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[SOLVED] ratio H/R to in tensor problem, just making sure i did this right

Homework Statement


What is the ratio of height to radius that you need such that all the diagonal elements of the inertia tensor along its diagonal are equal?


Homework Equations





The Attempt at a Solution



http://scienceworld.wolfram.com/physics/mimg276.gif
Since my Ixx=Iyy i made one of them = to Izz, i did some simple algebra and got h/R = sqrt(3) is this right? If not where did I go wrong?

Thanks
 
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You are correct.
 
Yes! Thank you.
 
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