Closing summary
The Volume Calculator finds volume for common solids and converts the result across cubic metres, litres, US gallons, cubic feet, and related units. A shared geometry renderer labels radius, height, and edge dimensions on each figure.
Per-solid geometry pages such as the Cylinder Calculator and Sphere Calculator carry proofs, surface area, and specialized inputs. This page owns the multi-shape volume query and unit conversion of the result, similar to how the Area Calculator handles plane shapes.
Calculate the volume of any shape
Pick a solid template: sphere, cylinder, cone, cube, rectangular box, or cap variants supported in the renderer. Enter dimensions in one length unit; the Volume Calculator computes cubic measure in that unit cubed before optional conversion to litres or gallons.
Shape choice changes the formula panel instantly. Invalid combinations such as zero radius show validation instead of a silent zero.
Calculate the volume of a cylinder or tank
A right circular cylinder uses V = πr²h. A tank two metres in diameter and three metres tall has radius one metre: V = π × 1² × 3 ≈ 9.425 m³. Convert to litres by multiplying cubic metres by 1000, about 9425 L for that example.
The Volume Calculator shows substitution with π and units on each line.
Calculate the volume of a sphere
A sphere uses V = (4/3)πr³. Radius 0.5 m gives (4/3)π(0.5)³ ≈ 0.5236 m³. Sports balls and tank end caps often start from diameter; the form accepts diameter and halves internally when that mode is selected.
For surface area or hemisphere volume alone, open the matching geometry calculator for extra fields, then return here when comparing multiple shapes in one session.
Calculate the volume of a rectangular tank
A rectangular box uses V = length × width × height. A 1.2 m by 0.6 m by 0.4 m aquarium is 0.288 m³ or 288 litres. Pool steps and shelves may need composite shapes; split into boxes, sum volumes, or use geometry frustum pages for truncated solids.
The Volume Calculator keeps all three edge fields visible with a labelled cuboid drawing.
Convert the volume between units
After cubic measure is known, factors map m³ to ft³, litres, US liquid gallons, and imperial gallons where listed. One cubic metre equals 1000 litres exactly. One US gallon equals about 3.785411784 litres. Conversion applies to the computed volume, not to individual edge lengths.
Convert edges only through a length converter if the input unit changes mid-problem.
Calculate tank and container capacity
Capacity labels often cite US gallons or litres at fill line height. Enter internal diameter and straight shell height for a vertical cylinder tank; subtract displacement for fittings if your procedure requires it. A five hundred US gallon target is about 1.893 m³.
Work backward from desired capacity to required height once diameter is fixed using the cylinder formula solved for h.
Point to geometry solid calculators
The Cylinder Calculator, Sphere Calculator, and Rectangular Prism Calculator in the geometry pack prove formulas, show surface area, and accept mixed inputs such as diameter instead of radius. The Volume Calculator links to those pages when a single solid needs depth beyond the multi-shape hub.
Treat this page as the entry for "volume calculator" queries with unit conversion; treat geometry pages as the entry for one-shape homework and engineering detail.
Work a rectangular tank in litres
A tank 0.8 m by 0.5 m by 0.4 m holds 0.16 m³. Multiply by 1000 for 160 litres, then convert to about 42.27 US gallons if the delivery ticket uses gallons. The Volume Calculator runs the box formula before the unit conversion factors.
FAQ
What shapes does the Volume Calculator support?
Sphere, cylinder, cone, cube, rectangular prism, and additional templates wired to the shared geometry renderer. Unsupported frustums link to geometry frustum calculators.
How is this different from geometry solid pages?
Geometry pages go deep on one solid with extra outputs such as surface area. The Volume Calculator compares shapes and converts volume units on one hub page.
How do I convert cubic feet to litres?
Compute volume in ft³, then multiply by 28.316846592 litres per cubic foot, or use the unit picker after calculation. The factor table matches the audited conversion pack.
Can I calculate tank gallons from dimensions?
Yes. Enter cylinder or box dimensions, read cubic measure, then select US gallons. Use internal dimensions for fluid capacity, not outer cladding.
Where do I get pi r squared h for a partial fill?
Partial fill problems need segment geometry or the construction Tank Volume Calculator for specific fill heights. This page assumes full solid formulas unless a fill slider is enabled in the product.
Does the Volume Calculator link to conversion tools?
Yes. Edge lengths can be converted on length pair pages; results here convert cubic units without re-entering dimensions.
How do I convert litres to US gallons?
Divide litres by 3.785411784 for US liquid gallons. The Volume Calculator applies the volume factor table after the shape formula runs.
The Volume Calculator returns volume with formula substitution and unit conversion factors shown, so every result can be checked by hand against the audited conversion table.