A bakelite beaker has volume capacity of 500cc at 30 ° C . When it...

A bakelite beaker has volume capacity of $500cc$ at $30 ° C$. When it is partially filled with ${V}_{m}$ volume (at $30 ° C$) of mercury, it is found that the unfilled volume of the beaker remains constant as temperature is varied. If ${\gamma}_{\text{bester}} = 6 \times {10}^{- 6}0 ° {C}^{- 1},$ where $\gamma$ is the coefficient of volume expansion, then ${V}_{m}$ (in $cc$ ) is close to $\ldots$