Sphere Calculator (V = ⁴⁄₃πr³)
Sphere volume ⁴⁄₃πr³ and surface 4πr² from radius or diameter.
- Example: r = 3 cm → V = 113.10 cm³, A = 113.10 cm².
- Free instant tool.
Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.
How the Sphere Calculator Works
Cube the radius, scale by ⁴⁄₃π for volume; square it and scale by 4π for surface. Worked example: r = 3 cm → V = ⁴⁄₃π × 27 = 113.10 cm³ and A = 4π × 9 = 113.10 cm² (they coincide only at r = 3). A ball with d = 10 cm means r = 5 cm → V = 523.60 cm³.
- 1
Enter radius (or diameter/2)
r in any unit; halve d first.
- 2
Calculate
Volume and surface area appear together.
- 3
Check units
Volume cubic, area square.
Use Cases
Ball bearings, bubbles and tank spheres
Paint or coating for spherical vessels
Planet and ball-park capacity demos
Melting comparisons: sphere vs cube material
Tips
- 1
Double the radius → 8× the volume (r³ law)
- 2
Surface-to-volume falls as spheres grow — why large drops hold together
- 3
d = 2r: the most common slip
Common Mistakes
Squaring r instead of cubing for volume
Using d directly in the formulas
Reporting volume in square units
Mixing radius unit systems (cm with in)
FAQs
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