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## Homework Statement

the moment of inertia of A cylinder of height 2h radius (a) and uniform mass density ρ about a line x=y=z using multiple integration.

## Homework Equations

I=ρ∫s^2*dV where the integral is over the volume V of cylinder and s is the perpendicular distance to the axis of rotation.

## The Attempt at a Solution

I tried setting s^2=r^2+z^2 and integrate using cylindrical polars with elemental volume dV=rdrdθdz where r from 0 to a, z from -h to h, θ from 0 to 2π But I got the wrong answer.