Hey guys. Here's a problem which has been bothering me for sometime. Most of us know how to find the volume of a cone by the "Regular" calculus method. Taking it a series of infinitesimal disks and integrating.
But my question is this? Why take disks? There are so many different conic sections. Why not take it as a series of infinitesimal parabolic areas or if we need to find surface area, why not take it as a line revolving around the central axis?
Is my reasoning flawed, or is there a hurdle which prevents us from doing this through any other infinitesimals? I do apologize if my question was redundant. Thank you for any answers.