Surface of Revolution: y-Axis
Loading the math board and drawing, please wait…
This example demonstrates how to generate a surface of revolution by rotating a curve around the y-axis. The core mathematical concepts involved include the generation of surfaces of revolution in calculus, function graphs, and their transformations. The construction uses GeoGebra commands such as Rotate and Surface, with objects like n (number of rotations), f (function), text1 (text), f_1 (function 1), and a (parameter). It is suitable for high school and above students studying calculus and geometric constructions, helping to understand the application of surfaces of revolution in physics and engineering.
GeoGebra Commands & Parameters
Rotate(f, n, yAxis) → f_1Surface(f, n, yAxis) → a