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Volume Calculator
About the Volume Calculator
Find the volume of cubes, boxes, spheres, cylinders and cones, with a 3D sketch of the shape.
How to use the Volume Calculator
- Pick a shape: Cube, Rect Box, Sphere, Cylinder or Cone.
- Enter the dimensions shown.
- Press Calculate volume to see the volume.
Formula and method
Cube: sΒ³ Β· Box: l Γ w Γ h Β· Sphere: (4/3)ΟrΒ³ Β· Cylinder: ΟrΒ²h Β· Cone: (1/3)ΟrΒ²h
Worked example
A sphere with radius 3: (4/3) Γ Ο Γ 27 = 113.10 cubic units.
A cylinder. With a radius of 2 and a height of 5, volume = Ο Γ 2Β² Γ 5 β 62.83 cubic units.
When to use the Volume Calculator
- Working out how much liquid a tank, pool or container holds.
- Estimating soil, sand or concrete needed for a project.
- Solving geometry problems on 3D shapes.
Common mistakes to avoid
- Using the diameter in a formula that needs the radius.
- Mixing units, then getting an answer in the wrong scale.
Tips
- Volume is in cubic units, and 1 litre equals 1,000 cmΒ³.
- A cone holds exactly one third of a cylinder with the same base and height.
Frequently Asked Questions
Use the cylinder formula for a round tank or the box formula for a rectangular one, then convert the units to litres or gallons.
1,000 litres.
Multiply cubic feet by about 7.48 to get US gallons.