In a nuclear reactor, 1 -cm-diameter cylindrical uranium rods cooled by water from outside...

In a nuclear reactor, 1 -cm-diameter cylindrical uranium rods cooled by water from outside serve as the fuel. Heat is generated uniformly in the rods (k = 29.5 W/m · K) at a rate of 4 x 107 W/m3. If the outer surface temperature of rods is 220°C. determine the temperature at their center.