Let hQh_{Q}hQ and ρQ\rho_{Q}ρQ be the least length and the density of Q1Q_{1}Q1
while hhh and ρ\rhoρ are the length and density of mercury respectively.
h×ρ×g=hQ×ρQ×gh \times \rho \times g = h_{Q} \times \rho_{Q} \times gh×ρ×g=hQ×ρQ×g
76 cm×13.6×10=hQ×16.2×1076\,\mathrm{cm} \times 13.6 \times 10 = h_{Q} \times 16.2 \times 1076cm×13.6×10=hQ×16.2×10
hQ=76×13.6×1016.2×10h_{Q} = \frac{76\times 13.6\times 10}{16.2\times 10}hQ=16.2×1076×13.6×10
hQ=10336162h_{Q} = \frac{10336}{162}hQ=16210336
hQ≈63.8 cm=638 mmh_{Q} \approx 63.8\,\mathrm{cm} = 638\,\mathrm{mm}hQ≈63.8cm=638mm