Calculation details
Planning estimate only, not financial, tax, or legal advice. Verify assumptions and current rules before making decisions.
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What does this calculator estimate?
A volume calculator finds the capacity of common 3D shapes — cube, sphere, cylinder, and cone. Choose the shape and enter its dimensions to calculate.
- Cube: a³
- Sphere: (4/3)πr³
- Cylinder: πr²h
What volume measures
Volume is the space inside a 3D shape — the capacity of tanks, boxes, and containers. It converts directly to capacity: 1 m³ = 1,000 L, 1 cm³ = 1 mL.
Limitations to watch for
The formulas assume perfect geometric shapes — real tanks have wall thickness and rounded corners. Units must be consistent. For liquids, remember that a liter is defined as 1,000 cm³ (a 10 cm cube).
How to use it in practice
Use it for tank sizing, shipping boxes, concrete and soil volumes, and aquarium capacity. Convert cubic units to liters or gallons for practical capacity: multiply m³ by 1,000 for liters, or by 264.17 for US gallons.
['Choose the shape (cube, sphere, cylinder, cone).', 'Enter the required dimensions.', 'The tool computes the volume in cubic units.']
How this calculator works
Formula
Cube: a³. Sphere: (4/3)πr³. Cylinder: πr²h. Cone: (1/3)πr²h. The tool computes the interior space of the chosen shape.
Worked example
A sphere with radius 3 has volume (4/3)π × 27 ≈ 113.10. A cylinder with radius 2 and height 5 has volume π × 4 × 5 ≈ 62.83.
Assumptions to verify
- The shape is a perfect geometric solid.
- All dimensions are in the same units.
- The result is interior volume (wall thickness ignored).
Frequently asked questions
What is volume?
The amount of 3D space an object occupies — its capacity. A sphere of radius 3 has about 113.1 cubic units.
How do I find the volume of a cube?
a³ — side cubed. A 3-unit cube has 27 cubic units.
How do I find the volume of a sphere?
(4/3)πr³. Radius 3: (4/3)π × 27 ≈ 113.10.
How do I find the volume of a cylinder?
πr²h — the area of the circular base times the height.
How do I convert cubic meters to liters?
1 m³ = 1,000 L. A 2 m³ tank holds 2,000 L.
What is the difference between volume and capacity?
Volume is the space occupied; capacity is what a container can hold. For practical purposes they use the same math — capacity usually in liters or gallons.
Do wall thicknesses matter?
For tanks and pipes, yes — interior volume uses the inner dimensions. The calculator uses the dimensions you enter, so enter interior measurements for capacity.
Cite this tool
BoringToolsKit. “Volume Calculator.” boringtoolskit.com/volume-calculator/ (reviewed 2026-08-25). Free to reference in articles, syllabi, and answer posts with a link.
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