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The density of a cylinder of radius R and length l varies linearly from the central...

The density of a cylinder of radius R and length l varies linearly from the central axis where ρ1=500 kg/m3 to the value ρ2=3ρ1. If R=.05 m and l= .1 m, find:

a. The average density of the cylinder over the radius.

b. The average density over its volume.

c. the moment of inertia of the cylinder about its central axis.

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