Volume Calculator

Free online volume calculator for sphere, cone, cube, cylinder, rectangular tank, capsule, pyramid, ellipsoid, and more. Calculate volume with step-by-step formulas for geometry and engineering.

The Volume Calculator helps you calculate the volume of common three-dimensional shapes. Select a shape, enter dimensions, and get instant volume calculations with formulas and explanations.

Sphere

Cone

Cube

Cylinder

Rectangular Tank

Square Pyramid

Tube (Hollow Cylinder)

What is Volume?

Volume is the measure of three-dimensional space occupied by an object or enclosed within a container. It's expressed in cubic units (m³, ft³, cm³) or liquid measures (liters, gallons). Volume calculations are essential for tanks, containers, material quantities, concrete pours, liquid storage, and capacity planning. Each 3D shape has a specific formula based on its geometry.

Volume Formulas by Shape

Sphere: V = (4/3) × π × r³

Cone: V = (1/3) × π × r² × h

Cube: V = side³

Cylinder: V = π × r² × h

Rectangular Tank: V = L × W × H

Capsule: V = π × r² × h + (4/3) × π × r³

Conical Frustum: V = (π×h/3) × (r₁² + r₁×r₂ + r₂²)

Ellipsoid: V = (4/3) × π × a × b × c

Square Pyramid: V = (1/3) × base² × h

Tube: V = π × (R² - r²) × h

Applications

Construction: Concrete volumes, material quantities
Storage: Tank capacity, container sizing
Manufacturing: Material volume, packaging
Agriculture: Silo capacity, grain storage
Water management: Reservoir capacity, pipe volume
Chemistry: Reactor sizing, batch volumes
Shipping: Cargo volume, freight calculations

Tips for Volume Calculations

Always use consistent units throughout calculation
1 cubic meter (m³) = 1000 liters = 264.17 gallons
1 cubic foot (ft³) = 7.48 gallons = 28.32 liters
For tanks, account for wall thickness in capacity calculations
Consider fill level - rarely filled to 100% capacity
Add volume for fittings, pipes, and dead space in systems
Weight = Volume × Density (water: 1000 kg/m³)