Interactive Visualization of a Cone’s Volume

This example presents an interactive geometric model that visualizes how the volume of a cone changes with its key dimensions (notably height and base radius) and ties these parameters to related functional/curve relationships. The core mathematics includes the cone’s geometric parameters, the volume formula V = (1/3)πr²h, and the idea of using functions/graphing or curve sketching to express how volume depends on variables. Construction-wise, it uses GeoGebra commands reflected in the build summary: Cone (to create the 3D cone), Segment (to form defining measurement/reference edges), Point (to place and control key parameters), Volume (to compute the solid’s volume), and PointIn (to support point-in-solid logic for interactive evaluation). Additional point objects and text labels (e.g., text1, text2, etc.) are used to display parameters and computed volume, while buttons/controls update the shown results (e.g., the volume display object). Suitable for secondary school through early college, especially for solid geometry instruction, concept reinforcement, and visualization-based learning.