Find sphere volume, surface area, and diameter from radius
Result
Sphere Volume
Step-by-Step Derivation
Sphere Volume Formula
V = (4 / 3)πr³
Sphere volume depends on the cube of the radius, so small radius changes can strongly affect the result. The same radius also gives surface area through 4πr² and diameter through 2r.
⚠The radius must be positive. Use one consistent unit; volume is returned in cubic units and surface area in square units.
How Sphere Volume Works
A sphere is perfectly round in three dimensions, with every surface point the same distance from the center. That distance is the radius used in the volume formula.
Radius
Distance from center to the surface.
Cubic Growth
Volume changes with r³.
Surface Area
The outside area is 4πr².
Diameter
Diameter is always 2r.
💡 Example: For r=5, V=(4/3)π(5³)=523.599 cubic units and surface area is 314.159.
Applications of Sphere Volume
PhysicsAstronomyBall DesignMaterial Estimates
Frequently Asked Questions
What is a sphere volume calculator?▼
It calculates the volume inside a sphere from the radius.
What is the sphere volume formula?▼
The formula is V = (4/3)πr³, where r is the sphere radius.
How do I use this calculator?▼
Enter the radius and click Calculate to get volume, surface area, and diameter.
Can I use diameter instead of radius?▼
If you have diameter, divide it by 2 before entering the radius.
Where is sphere volume used?▼
Sphere volume is used in geometry, physics, ball design, astronomy, and material estimates.
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