The Ball in Liquid columns Coulumns

A heavy cylinder of radius RR lies in equilibrium on a smooth surface, separating two liquids of densities ρl\rho_l on the left and ρr\rho_r on the right, with ρr>ρl.\rho_r > \rho_l.

If the height of the liquid on the right is R,R, what is the height hh of the liquid on the left in terms of R?R?

Neglect the surface tensions of the liquids.

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