Volume of a Sphere

Volume of a ball of radius r; surface area is 4πr².

V = \frac{4}{3} π r^{3}

Variables

r: Radius

Explanation

Archimedes showed a sphere fills two thirds of its circumscribed cylinder. The formula can be derived by integrating the areas of circular cross-sections.

Example

$r = 3$ : $V = 36 π \approx 113.1$ .

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Related formulas

Volume of a Cylinder

Base area times height.