This online Volume Calculator Calculates the volume of any geometrical 3D shape easily and accurately. This tool consists of following shapes: Online Volume Calculator, Cube Volume Calculator, Sphere Volume Calculator, Cylinder Volume Calculator, Cone Volume Calculator, Pyramid Volume Calculator, Ellipsoid Volume Calculator, Capsule Volume Calculator, Conical Frustum Volume Calculator, Hollow Tube Volume Calculator, Spherical Cap Volume Calculator etc.
0.00 unit3Volume Calculator
Volume:
How to Use the Volume Calculator
- Select Shape: Choose the shape you want to calculate the volume for (e.g., cube, rectangular prism, sphere, hemisphere, spherical cap, cylinder, hollow tube, cone, conical frustum, capsule, ellipsoid, pyramid).
- Enter Dimensions: Input the required dimensions (e.g., side, length, width, height, radius, axis).
- Calculate Volume: Click the “Calculate Volume” button to get the result instantly.
- View Result: The volume will be displayed in the unit³ format.
Supported Shapes and Formulas:
- Cube: Side³
- Rectangular Prism: Length × Width × Height
- Sphere: (4/3) × π × Radius³
- Hemisphere: (2/3) × π × Radius³
- Spherical Cap: (π × Height² × (3 × Radius – Height)) / 3
- Cylinder: π × Radius² × Height
- Hollow Tube: π × Height × (Outer Radius² – Inner Radius²)
- Cone: (1/3) × π × Radius² × Height
- Conical Frustum: (1/3) × π × Height × (Radius1² + Radius2² + Radius1 × Radius2)
- Capsule: π × Radius² × ((4/3) × Radius + Height)
- Ellipsoid: (4/3) × π × Axis1 × Axis2 × Axis3
- Pyramid: (Base Length × Base Width × Height) / 3
What is Volume – A Simple Explanation
Volume measures the amount of three-dimensional space an object occupies. The standard SI unit is the cubic meter (m³). In everyday use, volume usually refers to a container’s capacity—how much it can hold—rather than the space the container itself takes up.
For common geometric shapes, volume can be calculated using standard formulas. Complex shapes are often broken into simpler ones, and their volumes are added together. When formulas are unavailable, volume can be estimated using advanced mathematical methods or calculated from mass if density is known.
Below are volume formulas for the most commonly used shapes.
Common Volume Formulas
Sphere
A perfectly round 3D shape, defined by its radius r.
Volume = (4/3)πr³
Cone
A shape with a circular base tapering to a point.
Volume = (1/3)πr²h
Cube
A 3D shape with equal edges.
Volume = a³
(where a is the edge length)
Cylinder
A shape with two circular bases and a height.
Volume = πr²h
Rectangular Tank (Cuboid)
A generalized cube with different side lengths.
Volume = length × width × height
Capsule
A cylinder with hemispherical ends.
Volume = πr²h + (4/3)πr³
Spherical Cap
A portion of a sphere cut by a plane.
Volume = (1/3)πh²(3R − h)
(where R is sphere radius and h is cap height)
Conical Frustum
The part of a cone between two parallel cuts.
Volume = (1/3)πh(r² + rR + R²)
(where r and R are base radii)
Ellipsoid
A stretched or compressed sphere.
Volume = (4/3)πabc
(where a, b, and c are axis lengths)
Square Pyramid
A pyramid with a square base.
Volume = (1/3)a²h
Tube (Pipe)
A hollow cylinder.
Volume = (π/4)(d₁² − d₂²) × l
(where d₁ is outer diameter, d₂ is inner diameter, and l is length)
Common Volume Units
| Unit | Cubic meters |
| Milliliter (cm³) | 0.000001 |
| Liter | 0.001 |
| Gallon | 0.003785 |
| Cubic foot | 0.0283 |
| Cubic yard | 0.7646 |
| Cubic meter | 1 |
| Cubic kilometer | 1,000,000,000 |
Conclusion
To Understand volume is essential in construction, manufacturing, science and in daily life. With the right formula, you can quickly calculate how much space or capacity any object can occupy.
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