THE FEUTEX TOOLKIT

Pappus Solid of Revolution

Compute swept volume and surface using a region area, curve length, and centroid distances.

Geometry workspace● Runs in your browser

01 Your input

Region arealength²Area centroid distance from axislengthGenerating curve lengthlengthCurve centroid distance from axislength

02 Your result

View or copy raw result data

Result data

FormulaVolume = 2*PI*distance*area; Surface = 2*PI*curveDistance*curve

Sources and model references

Made for real tasks

Compute swept volume and surface using a region area, curve length, and centroid distances.

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

Enter region area, area centroid distance from axis, generating curve length, curve centroid distance from axis.
Use the displayed units and confirm the model assumptions.
Calculate and compare the outputs against your input scenario.

{
  "area": 12,
  "distance": 5,
  "curve": 8,
  "curveDistance": 4
}

Axis must lie in the region plane without cutting the generating region or curve. Distances refer to separate area and curve centroids.

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.