A sphere volume calculator computes the space inside a perfectly round 3D shape using V = (4/3)πr³. Enter the radius or diameter for instant results in any volume unit.
A sphere is a perfectly round 3D shape where every point on its surface is equidistant from the center. That constant distance is the radius (r). The sphere has the smallest surface area of any shape enclosing a given volume — making it nature's most efficient container.
Spheres appear throughout nature: planets, stars, bubbles, water droplets, and eyeballs. Man-made spheres include balls (basketball, soccer, tennis), globes, and ball bearings.
Sphere volume = (4/3) × π × radius³ (V = (4/3)πr³).
If you know the diameter: r = d/2, so V = (4/3)π(d/2)³ = πd³/6.
Example: A sphere with radius 6 cm:
V = (4/3) × π × 6³ = (4/3) × π × 216 = 904.78 cm³ = 0.905 L.
Diameter 24.1 cm (r=12.05): V = (4/3)π×12.05³ = 7,327 cm³ ≈ 7.33 L.
Diameter 6.7 cm (r=3.35): V = (4/3)π×3.35³ = 157.5 cm³ = 0.158 L.
Mean radius 6,371 km: V = (4/3)π×6371³ ≈ 1.083 × 10¹² km³.
Diameter 1.6 cm (r=0.8): V = (4/3)π×0.8³ = 2.14 cm³.
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Answers to common questions about the sphere volume calculator.
V = (4/3)πr³ where r is the radius. With diameter: V = πd³/6. The (4/3) factor comes from integrating circular cross-sections.
r = ∛(3V / 4π). For V = 1,000 cm³: r = ∛(3000/12.566) = ∛238.73 = 6.20 cm.
SA = 4πr². A sphere with r=5 cm has SA = 4π×25 = 314.16 cm². Surface area grows with r² while volume grows with r³.
Use the hemisphere formula: V = (2/3)πr³, which is exactly half of the full sphere volume.
Volume grows with r³ (the cube of radius). Doubling the radius multiplies volume by 2³ = 8. A ball with radius 10 cm has 8× the volume of one with radius 5 cm.