Geometry and Measurement
Enter a circular base radius or diameter and a perpendicular height to find ideal cylinder capacity.
A right circular cylinder has a circular base repeated through a constant perpendicular height. Its geometric volume is V = πr²h, where r is radius and h is height. If diameter d is known, use r = d/2 before squaring. Squaring the radius is essential: doubling radius quadruples volume when height stays fixed.
For radius 2 m and height 3 m, V = π × (2 m)² × 3 m = 12π m³, approximately 37.6991 m³ or 37,699.1 L. Entering diameter 4 m describes the same cylinder. This is a very large example; a household container should generally be measured in centimeters or inches rather than meters.
A liter is exactly 0.001 m³. A US liquid gallon is exactly 0.003785411784 m³, not an imperial gallon. One cubic foot is 0.028316846592 m³, and one cubic inch is 0.000016387064 m³. The tool converts all dimensions to meters first, computes cubic meters, then converts the result to the selected volume unit.
This is the internal volume only if the measurements describe the inside of a container. Outer diameter and outer height will overstate usable capacity when walls or a base have thickness. A tilted or tapered vessel, a domed end, and an unfilled tank require a different model. For fill planning, allow for freeboard and fittings.
| Item | Meaning | Check |
|---|---|---|
| Radius / diameter | Circular base size | Mode switching preserves the same base by doubling or halving the number. |
| Height | Perpendicular base-to-top distance | Must be greater than zero. |
| Input length unit | Shared unit for base and height | Both visible dimensions convert on change. |
| Volume unit | Cubic metric, cubic US, liter, or US gallon display | US gallons are liquid gallons, not imperial gallons. |
Estimate internal capacity from inner radius and usable height.
Estimate an ideal round-column volume before adding construction allowance.
Compare a measured geometry with nominal liter capacity.
This model assumes a full, right circular cylinder; it does not calculate a partially filled horizontal tank.
Yes. Select Diameter; the tool divides it by two before using V = πr²h.
No. This calculator uses US liquid gallons. One US gallon is exactly 3.785411784 liters.
Use inside dimensions to estimate container capacity. Outside dimensions include wall thickness.
No. Both input dimensions are converted to feet while the underlying physical cylinder remains the same.
Last reviewed: October 23, 2026. Calculations run in your browser. Confirm dimensions and units for consequential work.
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