A sphere is fully described by a single measurement — its radius. From that one value this calculator returns the volume, surface area, diameter, and great-circle circumference, useful for tanks, balls, domes, planets, and geometry homework.
How it works
Every result comes from the radius r using standard formulas:
- Volume = 4/3 · π · r³
- Surface area = 4 · π · r²
- Diameter = 2 · r
- Great-circle circumference = 2 · π · r
Because volume scales with the cube of the radius and area with the square, doubling the radius makes a sphere eight times the volume and four times the surface area.
Example
For a radius of 5 units:
- Volume = 4/3 · π · 5³ = 4/3 · π · 125 ≈ 523.6
- Surface area = 4 · π · 5² = 4 · π · 25 ≈ 314.16
- Diameter = 10
- Circumference = 2 · π · 5 ≈ 31.42
| Quantity | Formula | r = 5 |
|---|---|---|
| Volume | 4/3·π·r³ | 523.6 |
| Surface area | 4·π·r² | 314.16 |
| Diameter | 2·r | 10 |
| Circumference | 2·π·r | 31.42 |
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