Cone Related Rates
Loading the math board and drawing, please wait…
This GeoGebra example dynamically illustrates related rates problems involving a cone, showing how the volume, height, and radius change over time. It covers core calculus concepts such as related rates, derivatives of volume with respect to time, and the cone volume formula V = (1/3)πr²h. Construction uses GeoGebra commands including Cone, LaTeX text objects, a time counter (Seconds), variable tracking for height (h) and radius (r), derivative calculation (dhdt), and three control buttons (button1–button3) for animation control. It is suitable for calculus students, engineering math learners, and anyone exploring dynamic three-dimensional geometry with derivatives.
GeoGebra Commands & Parameters
Cone(B, A, 2) → a, c, bCone(H, A, r) → d, e, fLaTeX(VCone, true, true) → text1LaTeX(Height, true, true) → text2LaTeX(dhdt, true, true) → text3