Volume of a sphere

V=43πr3V=\tfrac43\pi r^3

Result unit: volume units

What it describes

The volume of a ball with radius rr.

Symbols

VV
volume
rr
radius

Where it comes from

The volume of a ball grows with the cube of the radius — a small change in the radius changes the volume a lot.

When to use it

Balls: balls, planets, droplets.

Example

Radius of the ball r=3r=3. Find the volume.
Substitutionr=3r=3.
ResultV=43π⋅27=36π≈113.1V=\tfrac43\pi\cdot27=36\pi\approx113.1.

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