# Surface Area of a Solid of Revolution

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration shows the approximation steps that lead to the derivation of the general formula for the surface area of a solid of revolution about the axis: . The first view (solid) shows that the surface is a union of bands like the one swept out by the arc PQ. The second view (frustum of a cone) shows how the line segment joining P and Q sweeps out a frustum of a cone. The last view (arc length) shows the dimensions associated with the arc and line segment PQ.

Contributed by: Mito Are (Collin College) (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

detailSectionParagraph## Permanent Citation

"Surface Area of a Solid of Revolution"

http://demonstrations.wolfram.com/SurfaceAreaOfASolidOfRevolution/

Wolfram Demonstrations Project

Published: March 7 2011