Cone Volume Exploration Module (Pythagorean Theorem & Sequence Construction)

This GeoGebra example demonstrates an interactive exploration of cone volume calculation and visualization, integrating the Pythagorean theorem, subtraction operations, special points, and line intersections to build a dynamic learning module. The core mathematical concepts include the cone volume formula V=1/3πr²h, the Pythagorean relation among slant height, radius, and height, and the use of sequences to generate multiple related objects. Construction highlights: the Sequence command creates a series of objects, while Textfield (InputBox1) and variables h, n, r, L_1 allow parameter control; multiple text objects (text1 to text9) display calculation steps and results, and special points and line intersections support geometric relationships. This is suitable for high school (e.g., SMA) solid geometry instruction, helping students intuitively understand the derivation of the cone volume formula and how parameter changes affect volume, while also practicing dynamic geometry construction and interactive design in GeoGebra.