Sphere Volume & Surface Area
Calculate the exact volume and surface area of a sphere using its radius.
Geometry of a Sphere
A sphere is a perfectly round, three-dimensional geometric object where every point on the surface is an equal distance (the radius) from the center point.
The Mathematical Formulas
Discovered in antiquity by Archimedes, the formulas for a sphere are elegant:
- Volume:
V = ⁴⁄₃πr³ - Surface Area:
A = 4πr²(Exactly four times the area of its great circle)
Frequently Asked Questions
How do I find the radius if I only have the diameter?
The diameter is exactly twice the radius. Divide your diameter by 2 to get the radius, then use this calculator.
Disclaimer: This calculator is for educational and learning purposes only. While we strive for accuracy, calculations are provided "as-is" without warranty. The accuracy of results depends on the accuracy of input data provided. Always verify important calculations independently. For critical applications or when accuracy is essential, consult with appropriate professionals or use verified reference sources. Educational calculators may contain rounding or approximations.