Volume of Solids of Revolution: y-axis Example

This example demonstrates how to generate a solid of revolution by rotating a plane region around the y-axis and compute its volume. The core mathematical concept is the application of definite integrals in solid geometry, specifically the shell or disk method for volumes of revolution. Construction highlights: the Surface command creates the 3D rotational surface, while Point and Segment define the boundary of the region and the axis of rotation, with parameters like t allowing dynamic adjustment of the rotation angle or region extent. Suitable for high school or college calculus courses to visualize the connection between integration and 3D solids.