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Geometry & Practical Projects

Cylinder Volume Calculator

Calculate the volume, curved and total surface area of a cylinder, with capacity in litres.

Your inputs

Results

Volume

62.831853 m³

Curved surface area
62.831853 m²
Total surface area
87.964594 m²
In litres
62,831.8531 L

✓Exact calculation — rounded only for display

What this calculator does

Cylinders are everywhere: tanks, pipes, cans, columns and post holes. Find the volume they hold and the surface area of their sides and ends.

Formula and method

Volume = π r² h; Curved area = 2π r h; Total area = 2π r (r + h)

Worked example

Calculated by this tool with its default inputs:

Inputs

  • Length unit: Metres
  • Radius: 2
  • Height: 5

Results

  • Volume: 62.831853 m³
  • Curved surface area: 62.831853 m²
  • Total surface area: 87.964594 m²
  • In litres: 62,831.8531 L

How to read the results

For a horizontal tank, the volume is the same; partial fill needs a different calculation.

Assumptions and limitations

  • Use one length unit consistently; areas are in square units and volumes in cubic units of that length.

Quantities and costs are planning estimates. Add sensible allowances, and check with suppliers, carriers or professionals before buying, shipping or building.

Questions

How many litres in a cylinder of 10 cm radius and height?

About 3.14 L.

Methodology and verification

Result type
Exact mathematical calculation (rounded only for display)
Formula version
1.0
Automated verification
3 reference and validation test cases, checked against independently computed values. The site cannot be built if any of them fail.
Editorial review
Awaiting human editorial review. The explanation was drafted with AI assistance; the formula and examples are verified by the automated tests above.

Privacy

Everything you enter is calculated in this browser and is not sent to Numerith or anyone else. Inputs are added to a share link only if you choose to include them. Privacy policy