$\frac{{{v_f}}}{{{v_i}}} = {9^3}$

Density remains same

So, mass $\propto$ Volume

$\frac{{{m_f}}}{{{m_i}}} = {9^3}\,\,\, \Rightarrow \,\,\,\frac{{{{\left( {Aera} \right)}_f}}}{{{{\left( {Aera} \right)}_i}}} = {9^2}$

$Stress\left( \sigma  \right) = \frac{{force}}{{area}} = \frac{{\left( {mass} \right) \times g}}{{area}}$

$\frac{{{\sigma _2}}}{{{\sigma _1}}} = \left( {\frac{{{m_f}}}{{{m_i}}}} \right)\left( {\frac{{{A_i}}}{{{A_f}}}} \right) = \frac{{{9^3}}}{{{9^2}}} = 9$