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March 10, 2024

Free Websites for Creating Volumes of Revolution

Visualizing the volume of a solid of revolution can pose a significant challenge for calculus students. In this blog post, I will share several free and user-friendly websites and programs that can help students visualize the 3D solids created.

The best websites/programs are the ones that are user-friendly, allow the user to enter their own function, and rotate an area around any vertical or horizontal axis.

Be sure to check out: Free Websites for Creating Solids with Known Cross Sections

Top Pick

My personal preference is to download a FREE software called Autograph onto my laptop https://autograph.completemaths.com/

This is available on Windows only.
It will only rotate around a horizontal axis.

Read more about Autograph here: hoffmath.com/2020/05/autograph.html
Watch a demo video: youtu.be/hOjo4Wd55lI

Second Choice:

www.shodor.org/interactivate/activities/FunctionRevolution
This site does not have as many of the features of Autograph and is a little less user-friendly than Autograph, but it does allow the user to rotate around a vertical axis.

Third Choice:

Geogebra is a very powerful and FREE software. Anyone can make an "interactive worksheet" that has its own URL and can be viewed by anyone. Here are some of my favorites: