Volume Formulas
| Shape | Formula |
|---|---|
| Sphere | V = (4/3)πr³ |
| Cone | V = (1/3)πr²h |
| Cube | V = a³ |
| Cylinder | V = πr²h |
| Rectangular Tank | V = l × w × h |
| Capsule | V = πr²h + (4/3)πr³ |
| Spherical Cap | V = (πh²/3)(3R − h) |
| Conical Frustum | V = (πh/3)(r² + rR + R²) |
| Ellipsoid | V = (4/3)πabc |
| Square Pyramid | V = (1/3)a²h |
| Tube | V = π(d1² − d2²)l / 4 |
Volume Unit Conversions
- 1 cubic foot = 1,728 cubic inches = 7.481 US gallons = 28.317 liters
- 1 cubic meter = 35.315 cubic feet = 1,000 liters = 264.17 gallons
- 1 cubic yard = 27 cubic feet = 202 gallons
- 1 liter = 61.024 cubic inches = 0.264 gallons
Practical Applications
- Construction: Calculate concrete, soil, or gravel needed for foundations, pools, and landscaping
- Shipping: Determine box and container volumes for freight calculations
- Tanks: Size water, fuel, or chemical storage tanks
- Cooking: Convert between container sizes and recipe volumes
- Aquariums: Calculate water volume for proper fish stocking and filtration
- HVAC: Determine room volume for heating and cooling requirements
Tips for Accurate Measurements
- Measure radius (half the diameter), not diameter, for spheres, cones, and cylinders
- For irregular containers, approximate with the closest standard shape
- All input dimensions must use the same unit — select it from the dropdown at the top
- For tube volume, the outer diameter must be larger than the inner diameter