Sphere Volume Calculator
Enter the radius or diameter of a sphere to get its volume, surface area and circumference.
Result
- Circumference
- 37.6991 cm
- Diameter
- 12 cm
- Volume in liters
- 0.9048 L
- Volume in US gallons
- 0.239 gal
Formula
- Volume = 4 ÷ 3 × π × r³
- Surface area = 4 × π × r²
- With diameter: Volume = π × d³ ÷ 6
How the Sphere Volume Calculator works
A sphere is the set of points at a fixed distance from a center. Archimedes showed that its volume is two thirds of the cylinder that just encloses it, and that its surface area equals the curved area of that cylinder.
Because the volume depends on the cube of the radius, doubling the radius multiplies the volume by eight.
Worked example
A sphere with a radius of 6 cm has a volume of 4 ÷ 3 × π × 216 = 904.7787 cm³ and a surface area of 4 × π × 36 = 452.3893 cm².
Frequently asked questions
How do I find the volume of a hemisphere?
Halve the sphere volume: 2 ÷ 3 × π × r³.
How do I find the radius from the volume?
r = cube root of (3 × V ÷ (4π)). A volume of 1,000 gives a radius of 6.204.
Related calculators
- Cylinder Volume CalculatorCalculate the volume and surface area of a cylinder from its radius or diameter and height, with the result in liters and gallons.
- Cone Volume CalculatorCalculate the volume, slant height and surface area of a right circular cone from its radius and height.
- Circle CalculatorCalculate the radius, diameter, circumference and area of a circle from any one of them.
- Surface Area CalculatorCalculate the surface area of a cube, box, cylinder, sphere, cone or square pyramid, with the volume of the same shape.
- Triangle Area CalculatorCalculate the area of a triangle from base and height, from three sides with Heron's formula, or from two sides and the angle between them.
- Rectangle CalculatorCalculate the area, perimeter and diagonal of a rectangle or square from its length and width.
- Trapezoid Area CalculatorCalculate the area of a trapezoid from its two parallel sides and height, with the median line.
- Hexagon and Regular Polygon CalculatorCalculate the area, perimeter, apothem and angles of a regular hexagon, pentagon, octagon or any regular polygon from its side length.
- Box Volume Calculator (Rectangular Prism)Calculate the volume, surface area and space diagonal of a box, cube or rectangular prism from its length, width and height.
- Pyramid Volume CalculatorCalculate the volume, slant heights and surface area of a rectangular or square pyramid from its base and height.
Related unit converters
Calculations run in your browser and nothing you enter is sent to a server. Results are provided for general information. Check critical figures independently before relying on them.