Answer
$5.9\times 10^{-4}Kg.\frac{m^2}{s}$
Work Step by Step
We know that
$L=I\omega$
$L=(\frac{1}{2}MR^2)\omega$
We plug in the known values to obtain:
$L=\frac{1}{2}(0.015)(0.15)^2)(33\frac{1}{3}\frac{rev}{min})(\frac{2\pi rad}{rev})(\frac{1min}{60s})$
$L=5.9\times 10^{-4}Kg.\frac{m^2}{s}$