Volume of a Sphere Calculator
Calculate the volume, surface area, diameter, and circumference of a sphere from its radius. See also Volume of Hemisphere Calculator and Volume of Ellipsoid Calculator.
How to Calculate the Volume of a Sphere
To find the volume of a sphere, measure the radius — the distance from the center to any point on the surface. Cube the radius, multiply by π, then multiply by 4/3. The result is the total space enclosed within the sphere. If you know the diameter, divide it by 2 to get the radius first. This calculator also computes the surface area, diameter, and circumference automatically.
Sphere Volume Formula
V = (4/3) × π × r³
SA = 4 × π × r²
Diameter: d = 2r
Circumference: C = 2πr
Example
Find the volume of a sphere with radius 5:
V = (4/3) × π × r³
V = (4/3) × π × 5³
V = (4/3) × π × 125
V ≈ 523.5988 cubic units
Sphere Volume Reference Table
| Radius | Volume | Surface Area | Diameter |
|---|---|---|---|
| 1 | 4.1888 | 12.5664 | 2 |
| 2 | 33.5103 | 50.2655 | 4 |
| 3 | 113.0973 | 113.0973 | 6 |
| 4 | 268.0826 | 201.0619 | 8 |
| 5 | 523.5988 | 314.1593 | 10 |
| 6 | 904.7787 | 452.3893 | 12 |
| 7 | 1436.7550 | 615.7522 | 14 |
| 8 | 2144.6606 | 804.2477 | 16 |
| 9 | 3053.6281 | 1017.8760 | 18 |
| 10 | 4188.7902 | 1256.6371 | 20 |
| 15 | 14137.1669 | 2827.4334 | 30 |
| 20 | 33510.3216 | 5026.5482 | 40 |
| 25 | 65449.8469 | 7853.9816 | 50 |
| 50 | 523598.7756 | 31415.9265 | 100 |
| 100 | 4188790.2048 | 125663.7061 | 200 |
Frequently Asked Questions
What is the volume of a sphere?
The volume of a sphere is the total three-dimensional space enclosed within its surface. It is measured in cubic units and calculated using V = (4/3)πr³, where r is the radius.
How do I find the volume if I know the diameter?
Divide the diameter by 2 to get the radius, then use V = (4/3)πr³. For example, a sphere with diameter 10 has radius 5, so V = (4/3) × π × 125 ≈ 523.60 cubic units.
What is the surface area of a sphere?
The surface area of a sphere is the total area of its outer surface, calculated as SA = 4πr². For a sphere with radius 5, SA = 4 × π × 25 ≈ 314.16 square units.
What is the difference between a sphere and a hemisphere?
A hemisphere is exactly half of a sphere. Its volume is (2/3)πr³ — half the sphere volume. A hemisphere also has a flat circular base that adds to its total surface area.
What units is the volume in?
The volume is in cubic units of whatever unit the radius is in. If the radius is in centimeters, the volume is in cubic centimeters (cm³). If in meters, the volume is in cubic meters (m³).