Filling the Sphere

This example demonstrates the mathematical process of filling a sphere and calculating its volume. It involves core concepts like calculus, sphere geometry, angles, coordinate geometry, quadratic functions, intersections, and dilation. The construction utilizes GeoGebra commands and objects such as Solve, Element, OrthogonalLine, Intersect, If, Circle, and Rotate. It is suitable for high school and above students learning about sphere volume calculations and geometric transformations.