3. (20 pts.) A cylindrical nuclear fuel element is 10 cm long and 10 cm in diameter. The fuel generates heat uniformly at a rate of 51.7x108kJ/sm. The fuel is placed in an environment having a temperature of 360 K with a surface coefficient of 4540 W/m2K. The fuel material has k= 33.9 W/mK. The end effects may be neglected. For the situation described, evaluate the following at the steady state (a) The temperature profile as a function of radial position (b) The surface temperature