A pretty famous question..

A cylinder of radius $R$ and length $l$ is floating in a liquid of density $\rho_l$ .The density of the cylinder is $\rho_s$ .It is given a very light push.

Then, the time period of its motion $T=\sqrt{\frac{l}{g}} \times (\rho_l)^a \times (\rho_s)^b \times R^c$ .

Find $a-b+c$