Volume of Revolution Interactive Demo

This GeoGebra example dynamically demonstrates the volume of a solid generated by revolving a function curve around an axis. The core mathematical concept is the application of definite integrals in geometry, specifically computing volumes of revolution using disk or shell methods. Construction highlights: the Surface command creates the 3D revolved surface, Textfield and InputBox allow users to input the function and integration limits interactively, and the Integral command computes the definite integral value, with the resulting volume displayed as V. Suitable for advanced high school or introductory college calculus, this tool helps visualize the relationship between the integral and the volume, and supports exploration of various functions such as polynomials or trigonometric functions.