Surface Area of Right Cones - Dynamic GeoGebra Demo

This GeoGebra example dynamically demonstrates the surface area of a right circular cone, breaking it down into lateral and base areas. It visualizes how the total surface area (πrl + πr²) changes with radius and height. Core concepts include solid geometry, cone properties, rotation of a line segment to form a surface, and the relationship between linear dimensions and area. Construction uses the Cone command to create the solid, Point and PointIn to define the apex and base center, Segment for the slant height, and sliders (Radius5, Height5) to adjust parameters in real time, with text objects (text1, text2) displaying computed areas. Suitable for middle/high school geometry or introductory calculus courses, this interactive tool helps learners explore how surface area scales and connects to the idea of unrolling a cone's lateral surface.