A long, solid cylindrical shaft of 175 mm diameter is made of an alloy steel (a= 19.25 W/m*K, b=7700 kg/m3 , and c=460 J/kg*K) and is initially at a uniform temperature of 400 oC. It is then exposed to a convection environment at 30 oC with h= 110 W/m2 *K. Determine the temperature at a point within the shaft 60 mm away from the centerline 10 minutes after this cooling process has begun.