Water flows through a pipe at an average temperature of T=70°C. The inner and outer radii of the pipe are r1=6cm and r2=6.5cm, respectively. The outer surface of the pipe is wrapped with a thin electric heater that that maintain consumes 300W per m length of the pipe. The exposed surface of the heater is heavily insulated so that the entire heat generated in the heater is transferred to the pipe. Heat is transferred from the inner surface of the pipe to the water by convection with a heat transfer coefficient of h=85W/m2·K.