What Is This Tool?
The Cylinder Volume Calculator works out the volume and surface areas of a right circular cylinder from any two values you already know. You choose the input mode — radius and height, radius and volume, radius and lateral area, height and lateral area, or height and volume — enter those two figures with a unit for each, and the tool back-solves the missing dimension before reporting the full result set. It returns the radius, height, volume, and the lateral, top, base, and total surface area, all in SI base units. The π value is editable under Options, and results can be downloaded as a PDF.
How to Use This Tool?
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Choose which two values you already know using the "Given" buttons.
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Enter those two values and pick a unit for each field.
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Optionally adjust the π value under Options.
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Click Calculate to see the cylinder's dimensions and surface areas, then download the PDF if needed.
Key Features
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Five input modes: solve from radius & height, radius & volume, radius & lateral area, height & lateral area, or height & volume.
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Returns a complete result set — radius, height, volume, plus lateral, top, base, and total surface area.
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Per-field unit selectors covering metric and imperial length, area, and volume units.
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Editable π value for control over rounding precision.
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One-click PDF download of the calculated results.
Examples
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A radius of 3 m and height of 5 m return a volume of about 141.37 m³ and a total surface area of about 150.80 m².
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Given a radius and a volume, the tool back-solves the height with h = V ÷ (π · r²).
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Given a radius and a lateral area, it finds the height with h = L ÷ (2 · π · r).
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Given a height and a volume, it recovers the radius with r = √(V ÷ (π · h)).
Common Use Cases
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Sizing tanks, pipes, drums, or silos for capacity.
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Estimating the liquid or material volume a cylindrical container holds.
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Calculating paint or wrap needed from the lateral surface area.
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Teaching or checking homework on cylinder geometry.
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Recovering a missing dimension from a known volume or surface area.
Tips & Best Practices
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Pick the input mode that matches the two values you actually have to avoid extra conversions.
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Set the correct unit per field; the tool converts internally to SI for you.
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Leave π at its default for standard accuracy, and change it only when you need different rounding.
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Remember results are reported in SI base units regardless of the units you entered.
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Check whether you need the lateral area alone or the total surface area, since the tool reports both.
Limitations
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It models a right circular cylinder only — not cones, oblique cylinders, or hollow tubes.
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You must supply exactly one of the five supported value pairs; arbitrary combinations aren't accepted.
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Results are always shown in SI base units (m, m², m³), not the unit you entered.
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Nothing is stored between sessions — only the current result can be exported as a PDF.
Frequently Asked Questions
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What can I solve for?
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From any supported pair of known values, it returns the radius, height, volume, and the lateral, top, base, and total surface area.
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Can I enter measurements in inches or feet?
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Yes — each field has its own unit selector for metric and imperial length, area, or volume.
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Why are my results in meters when I entered centimeters?
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All inputs are converted to SI base units, so results appear in m, m², and m³.
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Can I change the value of π?
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Yes. The π field under Options is editable if you need different rounding precision.
Key Terminology
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Radius
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The distance from the center of the cylinder's circular base to its edge.
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Height
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The perpendicular distance between the cylinder's two circular bases.
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Volume
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The space enclosed by the cylinder, equal to π · r² · h.
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Lateral surface area
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The area of the curved side only, equal to 2 · π · r · h.
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Total surface area
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The lateral area plus both circular ends, equal to 2 · π · r · (h + r).