Sphere Volume Calculator
Calculate the volume of a ball or any sphere from its radius, its diameter, or the circumference around its widest part. You also get the surface area, and the volume can be shown in cubic inches, cubic feet, liters or gallons.
- Surface area
- 113.1 in²
- Radius
- 3 in
- Diameter
- 6 in
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Formula
How to use it
- Choose radius, diameter or circumference.
- Enter the value and its unit.
- Read the volume and surface area in the units you need.
Worked examples
A 3-inch radius: 113.10 in³, which is 1.853 liters
- Volume
- 113.1 in³
- Surface area
- 113.1 in²
A ball 20 cm across: 4,188.79 cm³, or 4.19 liters
- Volume
- 4.19 L
- Surface area
- 1,256.64 cm²
- Radius
- 3.94 in
A sphere with a 1 m diameter
- Volume
- 0.52 m³
- Surface area
- 3.14 m²
Volume grows with the cube
Doubling the radius of a sphere multiplies its volume by 8 and its surface area by 4. A 20 cm ball holds eight times as much as a 10 cm ball.
Measuring a ball
The diameter of a ball is hard to measure directly. Wrap a tape or a strip of paper around the widest part instead and choose “Circumference”. A basketball 29.5 inches around has a radius of about 4.7 inches and a volume of about 434 cubic inches.
Questions people ask
What is the volume of a sphere with a radius of 3 inches?
4⁄3 × π × 27 = 113.10 cubic inches.
What is the volume of a sphere with a 10 cm radius?
4,188.79 cubic centimeters, which is 4.19 liters.
How do I find the volume of half a sphere?
Halve the result. A hemisphere’s volume is ⅔ × π × radius³.