Find the volume of 11 common solids in any unit.
V = π r² h. A cylinder with radius 5 cm and height 12 cm holds 942.477796077 cm³ — about 0.94 litres.
Volume is the amount of space a solid takes up. Choose a shape — cube, rectangular prism, sphere, hemisphere, cylinder, cone, pyramid, cone frustum, ellipsoid, capsule or hollow tube — enter its dimensions in your unit (mm to miles) and get the volume, plus conversions to cubic metres, litres, cubic centimetres, cubic feet, cubic inches and US gallons.
Use the Surface Area Calculator for the outside of the same shapes, the Area Calculator for flat shapes and the Circle Calculator for circles. For construction see the Concrete Calculator.
The calculator applies the standard method step by step.
| Item | Value |
|---|---|
| Formula | π r² h |
| In cm³ | 942.477796077 |
| Cubic meters (m³) | 0.0009424778 |
| Litres | 0.9424777961 |
| Cubic centimeters (cm³ / mL) | 942.477796077 |
| Cubic feet (ft³) | 0.0332832893 |
| Cubic inches (in³) | 57.5135238428 |
| US gallons | 0.2489762937 |
| Shape | Volume |
|---|---|
| Cylinder r5 h12 | 942.477796077 cm³ |
| Sphere r5 | 523.598775598 cm³ |
| Cone r5 h12 | 314.159265359 cm³ |
| Cube a5 | 125 cm³ |
| Box 5×4×3 | 60 cm³ |
| Shape | Formula |
|---|---|
| Cube | a³ |
| Rectangular prism | l × w × h |
| Sphere | 4⁄3 π r³ |
| Hemisphere | 2⁄3 π r³ |
| Cylinder | π r² h |
| Cone | 1⁄3 π r² h |
| Rectangular pyramid | 1⁄3 l w h |
| Cone frustum | 1⁄3 π h (r² + r r₂ + r₂²) |
| Ellipsoid | 4⁄3 π a b c |
| Capsule | π r² h + 4⁄3 π r³ |
| Hollow cylinder | π (R² − r²) h |
V = π × r² × h. With r = 5 and h = 12, V = π × 25 × 12 ≈ 942.5.
V = 4⁄3 × π × r³. A sphere of radius 3 has a volume of about 113.1.
Divide by 1,000: 1,000 cm³ = 1 litre.
One third of the cylinder with the same base and height: V = π r² h ÷ 3.
A cone or pyramid with the top sliced off parallel to the base. Its volume is π h (r² + r·r₂ + r₂²) ÷ 3.
Mixing units (metres and centimetres) gives a wrong answer. Choose one unit and enter every dimension in it.
It uses the standard method: cylinder V = π r² h sphere V = 4⁄3 π r³ cone V = 1⁄3 π r² h The full working and a worked example are shown on this page.
Decimal results use standard double-precision arithmetic (about 15–16 significant digits). Tools that work with whole numbers — big numbers, factors, bases, combinations — use exact integer arithmetic, so no digits are lost.
Yes for checking your work and learning the method. The steps and formula are shown so you can understand the answer, but follow your teacher's rules about calculators in exams.
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