Interactive Exploration of Sphere Volume as Radius Changes

This GeoGebra lesson demonstrates how changing a sphere’s radius affects the computed volume, showing both the 3D context and the updated numeric results. It centers on the sphere volume formula V = (4/3)·π·r^3, treating radius r as a parameter that drives a functional relationship, and emphasizing substitution and order of operations (power first, then multiply by the coefficient and π). Construction is built around a variable radius and linked outputs: the construct summary indicates key tools such as Circle for the geometric representation, Segment/Element for supporting geometry and selection, TableText and Text for displaying formula/result text, and interactive/sequence features (Shuffle, Sequence) alongside objects like rads, r, and radGraph. It also includes user actions (e.g., calculate/replace-variable controls) and on-screen calculation/feedback text. Best suited for middle school (grades 6–8) solid geometry and word-problem practice on volume (and related surface area skills).