Sphere Volume Calculator
Compute the volume of a sphere: V = (4/3) × π × r³.
Calculator
Use the Sphere Volume Calculator
Result
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Formula
V = (4/3) × π × r³
Step-by-step
- 1
Enter the radius
Distance from center to surface.
- 2
Read the volume
Volume in cubic units.
Worked example
Example input: a: 3
Result: 113.0973
Related tools
- Circle Area
2D counterpart.
- Cylinder Volume
πr²h.
Frequently asked questions
What is the sphere volume formula?
V = (4/3)πr³. A handy memory hook: the sphere fills exactly 2/3 of a cylinder with the same radius and height — the classic Archimedes result. Enter radius 3 and you get 36π ≈ 113.10 cubic units. The cylinder link is exact rather than approximate: cylinder volume is πr²h with h = 2r, which simplifies to 2πr³, and two thirds of that is exactly the sphere value.
Why is the radius cubed?
Because volume grows in all three directions at once: doubling the radius multiplies the content by 2³ = 8. A radius-10 sphere holds 8 times as much as a radius-5 one, even though it looks just twice as wide.
How does a hemisphere compare?
Exactly half: a hemisphere holds (2/3)πr³. For radius 6 the full sphere is 288π ≈ 904.78 cubic units and the half-ball is 144π ≈ 452.39.
What is the volume of a sphere with radius 5?
About 523.60 cubic units. V = (4/3)π × 5³ = (4/3) × π × 125 = 500π ÷ 3 ≈ 523.5988. Enter radius 5 above and the calculator returns the same value.