MathPlotAI Logo MathPlotAI

Volume of Solid of Revolution Around Y-Axis

Volume of Solid of Revolution Around Y-Axis
Loading the math board and drawing, please wait…
2017-10-17 06:12
FunctionSolid GeometryCalculus
This example demonstrates the volume calculation of a solid of revolution around the y-axis. Key mathematical concepts include the volume formula for solids of revolution. The construction uses Invert and Surface commands.

GeoGebra Commands & Parameters

  1. Invert(f) → g
  2. Surface((g(a) * cos(b)), a, (g(a) * sin(b)), a, -1, 3, b, 0, α) → a

AI Drawing Prompt Reference

Create a solid of revolution around the y-axis using function f(x). First, invert function f(x) to get g(x). Then, use the Surface command to draw the rotational surface with a range from -1 to 3 for a, and 0 to α for b.
The prompt above was compiled from the original drawing commands and is for reference only.