1. The problem statement, all variables and given/known data Consider a cone of height H and base radius R with its apex (tip) at the origin, and its base at circular end at z = H. Derive the equation for the surface of the cone in cylindrical coordinates. You may assume z is proportional to r. 2. Relevant equations I assume the formula for surface area (attatched) will be relevant. 3. The attempt at a solution Please see attached document for my workings and comments.