Sphere volume and surface area
Calculate a sphere’s enclosed volume, surface area and diameter from one radius. Use it for geometry or comparing spherical objects. Volume measures the space inside; surface area measures the outside skin.
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How it works
- Volume = 4 × π × ³ ÷ 3
- Surface area = 4 × π × ²
- Worked example
- r = 3 m → 36π m³; 36π m²
Input and formula key
Your result
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Assumptions and limitations
Radius is in metres, volume in cubic metres and area in square metres. The object is a perfect solid sphere; wall thickness, flattened shapes and partially filled vessels are excluded. For a hollow vessel, use its internal radius to estimate capacity.
Sources
- OpenStax — mathematical formulas Sources reviewed: 2026-10-28
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Sources and maintenance
Maintained by emonster. Sources are listed with their own review dates; these are not live-data timestamps or claims of independent expert certification.
