Volume of a Sphere
Volume of a Sphere
\[V=\frac{4}{3}\pi r^3\]
Variables
V = sphere volume (m³)
r = sphere radius (m)
Description
What is this formula?
This formula calculates the volume of a sphere from its radius. A sphere is a perfectly symmetrical three-dimensional object where every point on the surface is at the same distance from the center.
When to use it
Use this formula when you need to determine the internal volume of spherical objects such as tanks, balls, planets, bubbles, or storage vessels.
Example
If the radius of a sphere is 2 m:
V = (4/3)π(2)^3
V ≈ 33.51 m³
Applications
- Geometry and mathematics
- Physics calculations
- Mechanical engineering
- Tank and vessel design
- Astronomy and planetary science
- 3D modeling
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