Visualizing Volumes of Rotation

① This example dynamically displays the volume of a solid of revolution generated by rotating a plane curve around an axis, making the integral concept visually intuitive. ② Core mathematical concepts include volume of revolution, definite integral, curve parameterization, and volume elements, rooted in calculus. ③ Construction highlights: uses GeoGebra commands such as CurveCartesian to define the curve, Surface to generate the rotational surface, Textfield and InputBox for entering function expressions and integration limits, with sliders or input boxes to adjust parameters and update the volume value in real time. ④ Suitable for senior high school or early university calculus students, ideal for classroom demonstrations or self-guided exploration of volume computation, and useful for teachers creating interactive instructional materials.