The Volume Calculator finds the volume of common three-dimensional shapes: sphere, cone, cube, cylinder, rectangular tank, capsule, spherical cap, conical frustum, ellipsoid, square pyramid and tube.
Volume = 4.1888 cubic feet
| Cubic meters | 0.118613 |
| Cubic feet | 4.1888 |
| Cubic inches | 7,238.23 |
| Cubic yards | 0.1551 |
| Liters | 118.6133 |
| US gallons | 31.3343 |
V = 1/3 π r² h
Volume = 2.0944 cubic feet
| Cubic meters | 0.059307 |
| Cubic feet | 2.0944 |
| Cubic inches | 3,619.11 |
| Cubic yards | 0.0776 |
| Liters | 59.3067 |
| US gallons | 15.6672 |
V = a³
Volume = 1 cubic feet
| Cubic meters | 0.028317 |
| Cubic feet | 1 |
| Cubic inches | 1,728 |
| Cubic yards | 0.037 |
| Liters | 28.3168 |
| US gallons | 7.4805 |
V = π r² h
Volume = 6.2832 cubic feet
| Cubic meters | 0.17792 |
| Cubic feet | 6.2832 |
| Cubic inches | 10,857.34 |
| Cubic yards | 0.2327 |
| Liters | 177.92 |
| US gallons | 47.0015 |
V = l × w × h
Volume = 2 cubic feet
| Cubic meters | 0.056634 |
| Cubic feet | 2 |
| Cubic inches | 3,456 |
| Cubic yards | 0.0741 |
| Liters | 56.6337 |
| US gallons | 14.961 |
V = π r² h + 4/3 π r³
Volume = 10.472 cubic feet
| Cubic meters | 0.296533 |
| Cubic feet | 10.472 |
| Cubic inches | 18,095.57 |
| Cubic yards | 0.3879 |
| Liters | 296.5333 |
| US gallons | 78.3358 |
V = 1/3 π h² (3R − h)
Volume = 5.236 cubic feet
| Cubic meters | 0.148267 |
| Cubic feet | 5.236 |
| Cubic inches | 9,047.79 |
| Cubic yards | 0.1939 |
| Liters | 148.2667 |
| US gallons | 39.1679 |
V = 1/3 π h (r² + rR + R²)
Volume = 14.6608 cubic feet
| Cubic meters | 0.415147 |
| Cubic feet | 14.6608 |
| Cubic inches | 25,333.8 |
| Cubic yards | 0.543 |
| Liters | 415.1467 |
| US gallons | 109.6701 |
V = 4/3 π a b c
Volume = 25.1327 cubic feet
| Cubic meters | 0.71168 |
| Cubic feet | 25.1327 |
| Cubic inches | 43,429.38 |
| Cubic yards | 0.9308 |
| Liters | 711.68 |
| US gallons | 188.006 |
V = 1/3 a² h
Volume = 0.6667 cubic feet
| Cubic meters | 0.018878 |
| Cubic feet | 0.6667 |
| Cubic inches | 1,152 |
| Cubic yards | 0.0247 |
| Liters | 18.8779 |
| US gallons | 4.987 |
V = π (d1² − d2²) / 4 × l
Volume = 9.4248 cubic feet
| Cubic meters | 0.26688 |
| Cubic feet | 9.4248 |
| Cubic inches | 16,286.02 |
| Cubic yards | 0.3491 |
| Liters | 266.88 |
| US gallons | 70.5022 |
Volume is the amount of three-dimensional space an object occupies. It is measured in cubic units such as cubic metres (m³), cubic feet (ft³) or cubic inches, or in capacity units such as litres and gallons. One cubic metre equals 1,000 litres or about 264.17 U.S. gallons.
Sphere: 4/3 πr³. Cone: 1/3 πr²h. Cube: a³. Cylinder: πr²h. Rectangular tank: length × width × height. Capsule: πr²h + 4/3 πr³. Spherical cap: 1/3 πh²(3R − h). Conical frustum: 1/3 πh(r² + rR + R²). Ellipsoid: 4/3 πabc. Square pyramid: 1/3 a²h. Tube: π(d₁² − d₂²)/4 × length.
Worked example: a sphere of radius 1 foot holds 4/3 × π × 1³ = 4.1888 cubic feet, about 31.3 U.S. gallons.
Each length can use its own unit; the calculator converts everything to metres first and then reports the result in several units, so a tank measured partly in feet and partly in inches still works.
Volume calculations help when buying soil, mulch or concrete, sizing a fish tank or pool, estimating fuel or water storage, shipping boxes and cooking. For irregular objects, displacement (measuring the water an object pushes aside) gives the volume directly.
What is the difference between volume and capacity? Capacity is how much a container can hold; for thin walls they are almost equal.
How do I find the volume of a cylinder lying on its side partly filled? That needs the circular segment area; use the tank shape that matches.
How many litres in a cubic foot? About 28.317.