A non-uniform sylinder has a radius R , a height h and a density p(r) = 2r . The moment of inertia around its axis of symmetry is :

( Please justfy your answer )

a ) \(2 \pi h R^{3}\)

b ) \( \pi h R^{4}\)

c ) \(\frac{4}{5} \pi h R^{5}\)

d ) \(\frac{5}{4} \pi h^{2} R^{4}\)

e ) \(\frac{4}{3} \pi hR^{3}\)


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