Find the surface area of the portion of the cone $z^2=x^2+y^2$ that is inside the cylinder $z^2=2y$.I know how to write parametric equation of simple surfaces and calculate area,but how do we find "area element" in situation like this.
I have solved this question but a few more question have come in my mind.
- Can the area of surface formed by intersection be calculated through surface integrals?(means is there any general method to write their parametric equation)
- Is surface area of inside equal to area outside?(means area inside a ball and outside it)
- If yes then can 1. be solved by calculating area of two surfaces separately and then adding them?