Related Rates Example: Right Circular Cone Filling and Emptying

This GeoGebra applet demonstrates the related rates phenomenon of filling or emptying a right circular cone, illustrating how water height and volume change over time. Core mathematical concepts include calculus related rates, derivatives, the chain rule, and the functional relationship among cone volume, radius, and height. The construction is based on GeoGebra commands Point, Line, and Segment, employing point objects B, A, C, D; variables height_w, height_c, radius, d, e, h, i, g, j, f, a, b, c; and text objects text1, text2 to represent cone dimensions, water level, and radius. It is suitable for high school calculus or first-year university mathematics as a classroom demonstration or an interactive student problem.