?Show that the moments of inertia \(I_{x}\), \(I_{y}\), and \(I_{z}\) about the

Chapter 5, Problem 355

(choose chapter or problem)

Show that the moments of inertia \(I_{x}\), \(I_{y}\), and \(I_{z}\) about the yz-plane, xz-plane, and xy-plane, respectively, of the unit ball centered at the origin whose density is \(\rho(x, y, z)=e^{-x^{2}-y^{2}-z^{2}}\) are the same. Round your answer to two decimal places.

Text Transcription:

I_x

I_y

I_z

rho(x, y, z) = e^-x^2 - y^2 - z^2

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