A concentrically loaded isolated square footing of size $2 \; \text{m} \times 2 \; \text{m}$ carries a concentrated vertical load of $1000 \; \text{kN}.$ Considering Boussinesq’s theory of stress distributed, the maximum depth (in $\text{m}$) of the pressure bulb corresponding to $10 \%$ of the vertical load intensity will be ____________. (round off to two decimal places)