How does the Frustum Calculator work?

Volume = (πh/3) × (R² + Rr + r²) where R = large base, r = small base, h = height Then: Lateral surface area = π(R + r) × √(h² + (R-r)²) Then: Total surface area = lateral + base areas.

Can you give an example of how to use the Frustum Calculator?

Example: Input R1=5, R2=3, h=4 gives a result of V=184π.

Is the Frustum Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Frustum Calculator?

Our Frustum Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

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Frustum Calculator

Frustum (Truncated Cone)

Top radius (r₁)

Bottom radius (r₂)

Height (h)

Calculates frustum (truncated cone) volume and surface area from base radii and height.

Symbol	Name	Unit	Description
Rr	large base	—	large base
R	large base	—	large base
r	large base	—	large base
h	height	—	height

Difficulty:intermediate

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Did You Know?

Grain silos are frustums; shape minimizes material while maximizing volume.

References

›Frustum Calculator

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Frustum Calculator

Frustum (Truncated Cone)

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Frustum (Truncated Cone)