- #1

jj2443

- 10

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## Homework Statement

Compute the moment of inertia around the z-axis of the solid unit box [0,1]x[0,1]x[0,1] with density given by [itex]\delta[/itex]=x[itex]^{2}[/itex]+y[itex]^{2}[/itex]+z[itex]^{2}[/itex].

## Homework Equations

I=[itex]\int[/itex][itex]\int[/itex][itex]\int[/itex]r[itex]^{2}[/itex] [itex]\delta[/itex] dV

## The Attempt at a Solution

I know that the distance r[itex]^{2}[/itex] from the z-axis would be x[itex]^{2}[/itex]+y[itex]^{2}[/itex]. I don't know how to determine the bounds and the order of the three integrals. Could someone please explain to me how to determine which order I should integrate, and then how I go about finding the bounds of integration for each of the three integrals.

Thanks!