About the sphere calculator
A sphere is the set of points at distance r from a center. Archimedes showed its volume is two-thirds of the cylinder that encloses it, giving V = (4/3)πr³, and its surface area equals that cylinder’s side: 4πr².
Formulas
| Volume | V = (4/3)πr³ |
| Surface area | S = 4πr² |
| Radius from volume | r = ∛(3V/4π) |
Frequently asked questions
What is the volume of a sphere?
V = (4/3)πr³. A ball with radius 5 cm holds 500π/3 ≈ 523.6 cm³ (0.52 L).
How do I find the radius from the volume?
r = ∛(3V/(4π)).