Consider a long cylinder of diameter \(\frac{1}{\pi}\) cm and 1 m in length is suspended in still air. Find the heat transfer coefficient of this arrangement (W/m2K). If the cylinder is maintained at 225°C and the temperature of air is 25°C. The mass and specific heat of the cylinder are 4 kg and 2.5 kJ/kg-K. At this instant rate of change of temperature \(\rm \left(\frac{dT}{dt}\right)=-0.02\) K/s.