Frustum Volume Calculator
A circular frustum is the section of a cone between two parallel circular faces; its volume depends on both radii and height.
How to use this calculator
- Enter the values requested by the Frustum Volume and keep all units consistent.
- Check the formula and worked example before relying on the displayed result.
- Change one input at a time when comparing alternative scenarios.
Formula and method
V = πh(R² + Rr + r²) ÷ 3
- The calculator applies the stated relationship to the inputs entered by the visitor. Intermediate calculations use full numeric precision before display rounding.
- Both radii and the perpendicular height must use the same length unit.
Worked examples
Worked example: Frustum Volume
R = 5, r = 3, h = 4 units
V = π × 4 × (25 + 15 + 9) ÷ 3 ≈ 205.25 cubic units.
V = π × 4 × (25 + 15 + 9) ÷ 3 ≈ 205.25 cubic units.
Understanding the result
Use the output as a calculation for the chosen assumptions, not as an explanation of why a real-world result occurred.
Both radii and the perpendicular height must use the same length unit.
Important notes
Both radii and the perpendicular height must use the same length unit.
Confirm the units, source measurements, rounding convention and context before using the result for a real project or decision.
Frequently asked questions
What does this Frustum Volume calculate?
A circular frustum is the section of a cone between two parallel circular faces; its volume depends on both radii and height.
Which assumptions matter most?
Both radii and the perpendicular height must use the same length unit.
Can the result replace professional or domain-specific guidance?
No. The tool provides arithmetic under its stated assumptions; check applicable specifications, accounting conventions, standards or qualified guidance for consequential decisions.
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Related explanations
Learn the method behind the number or compare the terminology before using the calculator.
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This page provides a calculation tool plus explanatory information so you can understand what the result means and when the underlying method may not fit your situation.