Given a cone in $\Bbb R^3$ with base radius R, height H as follows:
Compute its surface area using surface integral. Note that the area of the base is not included.
Hint: Parametrize the cone using cylindrical coordinates.
I have some questions about this task:
There are many variations for cone equations. Which one I need to use for this case and how do I parametrize it to cylindrical coordinates?
Depending on the outcome of the first question, how do I use the equation/cylindrical coordinates to do the surface integration and what are the domains needed for the two integrals?