Practical tools for measured work
Sphere Volume Calculator
Calculate sphere volume or solve a missing dimension, with diagrams and metric/imperial outputs.
Calculate the layout, check the diagram, then print the result for the shop or jobsite.
Schematic diagram, not a cutting template. All dimensions use the selected length unit; changing the unit reinterprets the entered numbers.
How it works
Choose the unknown quantity, enter the remaining measurements and read the result in cubic units, litres or US liquid gallons. Known volume must use the cube of the selected length unit.
Height is perpendicular to the base, not the sloping side. For a triangular pyramid base, length and width are the base triangle's perpendicular base and altitude. For a square base, enter equal length and width.
Sphere: V = 4πr³ / 3r = 3 → V = 36π ≈ 113.0973
Current-input example
The result above uses these exact values. This snapshot is included when the page is printed so the output can be checked against the original measurements.
- Length unit
- cm
- Solve for
- Volume
- Circular measurement
- Radius
- Radius
- 3 cm
Primary result: Volume: 113.09734 cm³.
Before using the result
- Measure from the datum or reference edge described by this tool, and do not mix inside, outside and centerline dimensions.
- Keep inputs in the displayed units and preserve more precision than the final cutting or purchasing tolerance requires.
- When the result is close to a limit, verify it with a test piece, field measurement, manufacturer drawing or qualified project professional.
Limitations
Ideal solid geometry only. For container capacity, enter inside dimensions. Hollow walls, rounded ends, material density and manufacturing tolerances are excluded. Use the tank calculator for partial fill.
Frequently asked questions
Can I find a missing dimension from volume?
Yes. Select the dimension under Solve for and enter a positive known volume and the other required dimensions. Radius results are always radii, even when the known circular measurement uses diameter.
Which gallon is used?
US liquid gallons: one gallon equals exactly 3.785411784 litres. Imperial gallons are different.
Related tools
Solid Volume
Calculate solid volume or solve a missing dimension, with diagrams and metric/imperial outputs.
Cylinder Volume
Calculate cylinder volume or solve a missing dimension, with diagrams and metric/imperial outputs.
Cone Volume
Calculate cone volume or solve a missing dimension, with diagrams and metric/imperial outputs.
Tank Volume
Calculate full capacity and partial fill for horizontal or vertical cylinders and rectangular tanks.