Volume of a Sphere

📊 beginner

$$V = \frac{4}{3}\pi r^3$$

The amount of space occupied by a sphere.

Variables & Units

$V$

Volume

Unit: Cubic units

$r$

Radius

Unit: Length units

Key Information

📐 Derived From

Integration of circular cross-sections.

💡 Example

Volume of a ball with radius $3 cm$ is $36\pi cm^3$.

🔧 Applications

Chemistry (molecular volume) and manufacturing.

⚠️ Constraints

Applies to perfect spheres.

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