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## Homework Statement

Derive an expression for the moment of inertia about the axis of symmetry for

a cylinder of mass M , length L and radius a, where the mass density decreases as a

function of distance from the axis as 1/r

## Homework Equations

## The Attempt at a Solution

1) am i right in thinking this would just be the same as the MOI of a disk of same mass?

and is the answer 2pi/3 a^3 or alternatively 1/3 M/L a^3