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 $177^\circ \text{C}$, the change in the diameter of hole is  \[d \times 10^{-3}\] cm. The value of d will be __________ if coefficient of linear expansion of the metal is $1.6\times10^{-5}/^\circ$C.