Sphere Volume & Surface Area

Calculate the exact volume and surface area of a sphere using its radius.

Volume523.6
Surface Area314.16

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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.