<p>A hole is drilled in a metal sheet. At&nbsp;<span class="equation">\(27^0C\)</span>, the diameter of hole is 5 cm. When the sheet is heated to&nbsp;<span class="equation">\(177^0C\)</span> , the change in the diameter of hole is&nbsp;<span class="equation">\(d\times10^{-3}\)</span>&nbsp;cm. The value of d will be __________ if coefficient of linear expansion of the metal is 1.6&nbsp;<span class="equation">\(\times10^{-5}/^0C\)</span>​​​​​​​</p>