Area and Volume Formulas Made Simple
The essential area, perimeter and volume formulas for circles, rectangles, triangles, spheres and cylinders — what they mean, how to handle composite shapes, and how to keep units straight.
Sphere Volume Calculator
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Volume
904.7787
- Surface area
- 452.3893
- Diameter
- 12.00
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Sphere Volume Calculator
The Sphere Volume Calculator works out your volume, along with 2 related figures in an instant. Enter radius and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.
- Enter the radius.
- Read off your volume, together with surface area and diameter — the calculator updates automatically, with no button to press.
Formula
The Sphere Volume Calculator uses the formula:
Volume = 4 ÷ 3 × 3.141592653589793 × Radius ^ 3
Worked example
For example, with radius of 6 units, the volume is 904.7787.
| Radius | 6 units |
|---|
| Volume | 904.7787 |
|---|---|
| Surface area | 452.3893 |
| Diameter | 12.00 |
Results are estimates for educational use, not professional advice.
Key terms explained
- Surface area
- The total area of all the outer faces of a three-dimensional object.
- Diameter
- The distance across a circle through its centre — twice the radius.
- Radius
- The distance from the centre of a circle or sphere to its edge.
- Volume
- The amount of three-dimensional space an object occupies, measured in cubic units.
- Area
- The amount of two-dimensional space a shape covers, measured in square units.
Frequently asked questions
Use V = 4⁄3 × π × r³. A sphere with radius 6 has a volume of about 904.78 cubic units.
The surface area is 4πr². For a radius of 6 it is about 452.39 square units.
Both depend only on the radius. Volume grows with the cube of the radius while surface area grows with its square, so volume rises much faster as the sphere gets bigger.
Yes. Any perfectly round object can be modelled as a sphere; enter its radius to estimate the volume and surface area.
Enter the radius. Read off your volume, together with surface area and diameter — the calculator updates automatically, with no button to press.
Related guides
Sphere Volume Table: Volume by Radius
Reference table of volume for Sphere Volume across a range of radius values — exact, engine-computed figures you can read off at a glance.
How to Calculate Sphere Volume: Formula, Steps & Examples
Learn how to calculate Sphere Volume — the formula explained step by step, with worked examples and a free calculator to check your answer.