A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that his density remains same, the stress in the leg will change by a factor of :

Question

$\begin{array}{1 1}(1) 9 \\ (2) \large\frac{1}{9} \\ (3) 81 \\ (4) \large\frac{1}{81} \end{array}$