A hole is drilled in a metal sheet. At $27^{\circ} \mathrm{C}$, the diameter of hole is 5 cm . When the sheet is heated to $177^{\circ} \mathrm{C}$, the change in the diameter of hole is $\mathrm{d} \times 10^{-3} \mathrm{~cm}$. The value of d will be $\_\_\_\_$ if coefficient of linear expansion of the metal is $1.6 \times 10^{-5} /{ }^{\circ} \mathrm{C}$.