Volume of a Frustum Calculator
Enter the top radius, bottom radius, and height of a frustum to instantly calculate its volume.
Frustum Dimensions
All values must be greater than zero.
cm
cm
cm
Result
Enter dimensions on the left and click Calculate.
Volume
| Parameter | Value |
|---|---|
| Bottom Radius (R) | |
| Top Radius (r) | |
| Height (h) | |
| Formula | π·h/3·(R²+R·r+r²) |
| Volume (exact π) |
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Summary
Enter the top radius, bottom radius, and height of a frustum to instantly calculate its volume.
How it works
- Enter the bottom radius (R) of the frustum.
- Enter the top radius (r) of the frustum.
- Enter the height (h) of the frustum.
- Choose your preferred unit (mm, cm, m, in, ft).
- The volume is computed instantly using V = (π·h/3)·(R²+R·r+r²).
- Copy the result or reset the form to calculate another frustum.
Use cases
- Calculate the volume of a truncated traffic cone.
- Estimate material needed for a tapered bucket or funnel.
- Engineering and architecture calculations for frustum-shaped components.
- Classroom and homework help for solid geometry problems.
- Calculate the capacity of frustum-shaped containers or tanks.
- 3D modeling and printing volume estimation.
- Verify manual calculations against a trusted online tool.
- Compare frustum volumes across different dimensions.
Frequently Asked Questions
Last updated: 2026-06-13 ·
Reviewed by Nham Vu