Thermodynamics: JEE Main 2020 Physics question

A bakelite beaker has volume capacity of 500 cc at 30^oC. When it is partially filled with Vm volume (at 30^oC) of mercury, it is found that the unfilled volume of the beaker remains constant as temperature is varied. If $\gamma$_(beaker) = 6 × 10^–6 ^oC^–1 and $\gamma$_(mercury) = 1.5 × 10^–4 ^oC^–1, where $\gamma$ is the coefficient of volume expansion, then V_m (in cc) is close to ____.