Surfaces of revolution

Surfaces of revolution are 3D shapes created by rotating a 2D curve around a fixed line (axis). Imagine spinning a curve, like a semicircle or a line segment, around an axis to form a symmetrical, three-dimensional object—such as a sphere, torus, or cone. This concept helps in understanding and designing objects in engineering, architecture, and computer graphics, allowing complex shapes to be generated and analyzed through simple mathematical equations.