Solid Volume Calculator

Choose the unknown quantity, enter the remaining measurements and read the result in cubic units, litres or US liquid gallons. Known volume must use the cube of the selected length unit.

Height is perpendicular to the base, not the sloping side. For a triangular pyramid base, length and width are the base triangle's perpendicular base and altitude. For a square base, enter equal length and width.

Slant height assumes a right cone or a pyramid with its apex above the centre of a rectangular base. Use √(h² + r²) for the cone and √(h² + (W/2)²) or √(h² + (L/2)²) for the pyramid faces. A square base of side 6 and height 4 has slant height 5.

Cylinder: V = πr²h
r = 2, h = 10 → V = 40π ≈ 125.6637

Cone: V = πr²h / 3
r = 2, h = 10 → V = 40π/3 ≈ 41.8879

Sphere: V = 4πr³ / 3
r = 3 → V = 36π ≈ 113.0973

Pyramid: V = LWh / 3; triangular base: V = LWh / 6
L = 2, W = 3, h = 4 → V = 8; triangular base → V = 4

Rectangular prism: V = LWh
L = 2, W = 3, h = 4 → V = 24

The result above uses these exact values. This snapshot is included when the page is printed so the output can be checked against the original measurements.

Length unit

cm

Shape

Cylinder

Circular measurement

Radius

Radius

2 cm

Height

10 cm

Primary result: Volume: 125.66371 cm³.

• Measure from the datum or reference edge described by this tool, and do not mix inside, outside and centerline dimensions.
• Keep inputs in the displayed units and preserve more precision than the final cutting or purchasing tolerance requires.
• When the result is close to a limit, verify it with a test piece, field measurement, manufacturer drawing or qualified project professional.

Ideal solid geometry only. For container capacity, enter inside dimensions. Hollow walls, rounded ends, material density and manufacturing tolerances are excluded. Use the tank calculator for partial fill.