An iron tyre is to be fitted onto a wooden wheel \(1.0\text{ m}\) in diameter. The diameter of the tyre is \(6\text{ mm}\) smaller than that of the wheel. The tyre should be heated so that its temperature increases by a minimum of (coefficient of volume expansion of iron is \(3.6 \times 10^{-5}\text{ /}^\circ\text{C}\))