The analytical standard solution (the stack of slabs added in series) of the resistance of the conical resistor -made of material of uniform conductivity given in many introductory physics texts as a nontrivial problem in the computation of resistance- is well known as incorrect. A survey of the relevant literature shows that the issues of boundary conditions for the numerical solution have very well been considered including an attempt proposing whether any valid problem exists to which the standard solution applies. Unfortunately, a proposition of a valid and correct problem to which the standard solution applies does not seem to appear in the literature. In this study, a valid problem is proposed in addition to providing some new extra properties of the conical resistor. The new properties are proposed as the self, the bulk and the spreading resistances of the conical resistor. The assessment of the subject can easily be performed by considering its well known engineering and pedagogical value.