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Volume Calculator
Volume of 11 common 3D shapes
Volume
523.5987756 m³
Exact: 500π/3 m³
- Liters
- 523,598.775598
- US gallons
- 138,320.163162
- Cubic feet
- 18,490.716256
- Cubic meters
- 523.5987756
- Surface area
- 314.15926536 m²
How it was calculated
- V = 4/3 × π × r³
- V = 4/3 × π × 5³ = 4/3 × π × 125
- V = 500π/3 = 523.5987756 m³
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How the volume calculator works
Volume is the amount of space a solid takes up, in cubic units. Prisms and cylinders are base area × height (box: l × w × h, cylinder: πr²h). Pointed shapes are one third of that (cone: πr²h / 3, pyramid: a²h / 3).
A sphere is 4/3 πr³ and an ellipsoid 4/3 πabc. A capsule is a cylinder plus one whole sphere. A spherical cap is πh²(3R - h) / 3, a frustum (a cone with its top cut off) is πh(r² + rR + R²) / 3, and a tube is the outer cylinder minus the inner one.
Pick meters, centimeters, inches or feet to also see the volume in liters, US gallons and cubic feet. Results with π are also shown exactly, like 500/3 π.
Using and checking your result
Published by JustYourCalculator. Check the units and assumptions above, and compare a known example before relying on the output. Calculations use browser arithmetic and may round displayed values.
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