Sphere Calculator

Volume and surface area of a sphere from its radius.

Result —

How it works

Volume = 4/3 πr³; Surface = 4πr²

A sphere’s surface equals four times the area of a great circle of the same radius.

Worked example

Radius 3:

Volume 4/3 × π × 27 ≈ 113.10; surface area 4π × 9 ≈ 113.10.

The two coincide numerically at r = 3 — pure coincidence.

Notes and limitations

Volume scales with the cube of radius, area with the square. Double the radius: 8× volume, 4× area — which is why large objects shed heat less easily.

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