The object of this research is to find the steady temperature distribution in a circular cylinder of finite length, when its one end part is heated by a high temperature liquid and the other part is left freely in the atmosphere. Heat transfer coefficient on the one part is assumed to be a constant, and on the other, another constant. The method of joinning is applied. Firstly, an infinite cylinder is analysed, in order to know the effect of the different heat transfer coefficients. Secondly, taking the end effect into consideration, the finite one is treated. Approximate formulae for the results of analysis are established, and checked for some cases. It is found that they can be used for practical purposes with sufficient accuracy.