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Geometry & Practical Projects

Sphere Volume Calculator

Calculate the volume and surface area of a sphere from its radius, with the capacity in litres.

Your inputs

Results

Volume

113.097336 m³

Surface area
113.097336 m²
In litres
113,097.3355 L

✓Exact calculation — rounded only for display

What this calculator does

Calculate how much a sphere holds and how much material covers it — useful for balls, spherical tanks, domes and science problems.

Formula and method

Volume = 4/3 π r³; Surface area = 4π r²

Worked example

Calculated by this tool with its default inputs:

Inputs

  • Length unit: Metres
  • Radius: 3

Results

  • Volume: 113.097336 m³
  • Surface area: 113.097336 m²
  • In litres: 113,097.3355 L

How to read the results

Litres are shown when a metric or imperial unit is chosen.

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 do I get the radius?

Measure the circumference and divide by 2π.

Methodology and verification

Result type
Exact mathematical calculation (rounded only for display)
Formula version
1.0
Automated verification
2 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