Cylinder Volume Explorer: Base Area Times Height

This interactive example demonstrates how a cylinder’s volume changes when its dimensions (radius and height) are varied. It focuses on the key relationship V = B·h, where the base area B is the area of a circle (B = πr²). Students connect the geometry of the circular base to the 3D volume of the solid, reasoning about how the radius determines base area and how height scales the resulting volume. Construction highlights: GeoGebra commands and objects such as Sequence, Point, Circle, Radius, Intersect, and Segment are used to create and label the base circle and radius; Cylinder builds the 3D solid; intermediate quantities like rSquared and areaBase compute πr²; and text/markers (e.g., textHeigth, segmHei, segmR, textRadius) support the measurement inputs. Display and workflow controls (showCalcul, btnToggle, tabOrder, btnHome) guide the exploration. Best suited for grades 6–8 solid geometry/measurement lessons, including modeling, guided inquiry, and problem-solving with open-ended questions.