Sphere Volume and Surface Area Dynamic Demonstration

This GeoGebra example dynamically demonstrates the volume and surface area formulas of a sphere, making the geometric properties intuitive. Core mathematical concepts include the sphere volume formula V=4/3πr³, surface area formula S=4πr², and solid geometry topics such as rotational solids, cross-sections, and proportional relationships. Construction highlights: uses Circle, Point, Arc, Rotate, Segment, Midpoint, and If commands to build sphere cross-sections and rotation axes, with text objects like VolumeFormula and SurfaceAreaFormula to display real-time calculations. Suitable for high school and early college students to grasp solid geometry formulas, and useful for teachers in classroom demonstrations or for students' independent exploration of sphere properties.