How do I get litres from measurements in centimetres?

Choose cm as the unit and type the sides in centimetres. The volume comes out in cubic centimetres, and the first row under it is litres: 1,000 cubic centimetres make exactly one litre. An aquarium 40 cm long, 25 cm wide and 30 cm tall is 30,000 cm³, which is 30 litres, and the US gallons row gives the same water as 7.93 gallons.

How much water fits in a rectangular or oval pool?

Pick Pool for a rectangular footprint or Oval pool for an elliptical or round footprint. Enter the full length and width and the depth at both ends. The average-depth model assumes uniform depth or a linear profile across the footprint; it does not model steps, benches, curved floors or irregular outlines. A rectangular 10 m by 5 m pool with a linear slope from 1 m to 2 m holds 75 m³, or 75,000 litres. Type the same depth at both ends for a flat floor. This tool calculates geometric volume only.

How does the partly filled tank work?

Tank is a cylinder lying on its side, and the fill depth is the height of the liquid measured up from the bottom. The tool works out the area of the circular segment the liquid covers, r² acos((r − f)/r) − (r − f) √(2rf − f²), and multiplies it by the tank's length. It is not a simple fraction of the tank: half way up is exactly half, but a quarter of the way up is less than a quarter, because a circle is narrow at the bottom. A tank of radius 1 m and length 2 m filled to 0.5 m holds 1,228 litres, 19.6% of the 6,283 litres it holds full, and the When full row shows that capacity.

How do I work out concrete in cubic yards?

Pick Concrete slab and the unit ft. Type the length and width in feet and the thickness in inches, since that is how a slab is specified; the tool divides the inches by 12 before multiplying. A 10 ft by 10 ft slab 4 inches thick is 33.33 cubic feet, and the Cubic yards row reads 1.2346, because a cubic yard is 27 cubic feet. In metres the thickness is typed in centimetres and the answer comes out in cubic metres, which is how concrete is ordered in metric countries. The tool gives the geometric volume only; it does not add an allowance for waste or an uneven base.

How do I find the volume of a pipe?

A pipe is a cylinder: pick Cylinder, switch the measure to Diameter, type the inner diameter (not the outer, which includes the wall), and type the pipe's length as the height. A pipe with a 10 cm inner diameter and 300 cm of length holds π × 5² × 300 = 23,562 cm³, which the litres row gives as 23.56 litres.

Do I enter the radius or the diameter?

Either. The cylinder, sphere, hemisphere, cone and tank take a radius by default, and a switch beside the field turns it into a diameter. The diameter is halved before it goes into the formula, and the formula line says so: it reads π r² h, r = d/2. A radius of 0.5 m and a diameter of 1 m are the same cylinder, and with a height of 1.2 m both give 0.942478 m³.

Which units come out?

The volume is in the cube of the unit you typed in, and the rows under it give litres, US gallons and UK gallons every time, plus three cubic units chosen for the scale you are working at: cubic feet, cubic yards and cubic inches for metres, for instance. The conversions use exact definitions: a litre is 1,000 cm³, a cubic foot is 28.316846592 litres, a US gallon is 231 cubic inches (3.785411784 litres) and a UK gallon is 4.54609 litres, so a UK gallon is about 1.2 US gallons.

How are measurements, units and saved work handled?

Choose the measured unit before typing; changing it reinterprets bare numbers rather than converting them. Decimal and scientific numbers, complete comma groups such as 1,200, numeric fractions such as 3/4 and mixed numbers such as 2 1/2 are accepted; written unit suffixes and expressions are not. Switching radius and diameter converts the current measurement to preserve the shape. Saved strings restore without writing defaults. Deliberate edits preserve independent newer saved fields, and malformed records are left intact. Results, full tank capacity and conversions must fit the supported numeric range. The visible result summary is selectable if the clipboard is unavailable.

Volume Calculator

Pick a shape, type its sides in metres, centimetres, feet or inches, and read the volume with the formula it came from, in litres and gallons at once. Seven solids from box to pyramid, a horizontal tank with a fill depth, rectangular and oval pools with a shallow and a deep end, and a concrete slab with its thickness in inches or centimetres, every answer listed in six more units underneath.

Cylinder · π r² h0.942478m³942.478 L · 248.976 US gal · 207.316 UK gal

Shape

Measure

Radius (m)

Height (m)

Unit

A drum, can or straight pipe: use the inner radius or diameter for capacity. Height is perpendicular to the circular end, including for an oblique cylinder; it is not a slanted axis length. The drawing is schematic. Choose the measured unit before typing; changing it reinterprets the numbers.

Result summary

Cylinder, radius 0.5 m, height 1.2 m
0.942477796077 m³
The working: π × 0.5² × 1.2 = 0.942477796077 volume, in m³
Litres: 942.477796077 L
US gallons: 248.976293692 US gal
UK gallons: 207.316132342 UK gal
Cubic feet: 33.2832892609 ft³
Cubic yards: 1.23271441707 yd³
Cubic inches: 57,513.5238428 in³

The workingvolume, in m³
π × 0.5² × 1.2 = 0.942477796077
LitresL
942.477796077
US gallonsUS gal
248.976293692
UK gallonsUK gal
207.316132342
Cubic feetft³
33.2832892609
Cubic yardsyd³
1.23271441707
Cubic inchesin³
57,513.5238428

The formula is on the stage, and the working is the first row. Every answer here is one textbook formula with your numbers put in, printed so you can check it: a cylinder is π r² h, a sphere is (4/3) π r³, a pool is length times width times the average of its two depths. The horizontal tank uses the circular-segment model with stable arithmetic for a partial fill, so half way up is exactly half and a quarter of the way up is less than a quarter, because the bottom of a circle is narrow. Conversions use exact definitions: a litre is 1,000 cm³, a US gallon is 231 cubic inches and a UK gallon is 4.54609 litres. Results are rounded; drawings are schematic. No arbitrary outlines, end caps, tapered tanks, pressure, chemical dosing, reverse dimensions, subtraction or shared surface-area result is computed here.

Common questions

How do I get litres from measurements in centimetres?: Choose cm as the unit and type the sides in centimetres. The volume comes out in cubic centimetres, and the first row under it is litres: 1,000 cubic centimetres make exactly one litre. An aquarium 40 cm long, 25 cm wide and 30 cm tall is 30,000 cm³, which is 30 litres, and the US gallons row gives the same water as 7.93 gallons.
How much water fits in a rectangular or oval pool?: Pick Pool for a rectangular footprint or Oval pool for an elliptical or round footprint. Enter the full length and width and the depth at both ends. The average-depth model assumes uniform depth or a linear profile across the footprint; it does not model steps, benches, curved floors or irregular outlines. A rectangular 10 m by 5 m pool with a linear slope from 1 m to 2 m holds 75 m³, or 75,000 litres. Type the same depth at both ends for a flat floor. This tool calculates geometric volume only.
How does the partly filled tank work?: Tank is a cylinder lying on its side, and the fill depth is the height of the liquid measured up from the bottom. The tool works out the area of the circular segment the liquid covers, r² acos((r − f)/r) − (r − f) √(2rf − f²), and multiplies it by the tank's length. It is not a simple fraction of the tank: half way up is exactly half, but a quarter of the way up is less than a quarter, because a circle is narrow at the bottom. A tank of radius 1 m and length 2 m filled to 0.5 m holds 1,228 litres, 19.6% of the 6,283 litres it holds full, and the When full row shows that capacity.
How do I work out concrete in cubic yards?: Pick Concrete slab and the unit ft. Type the length and width in feet and the thickness in inches, since that is how a slab is specified; the tool divides the inches by 12 before multiplying. A 10 ft by 10 ft slab 4 inches thick is 33.33 cubic feet, and the Cubic yards row reads 1.2346, because a cubic yard is 27 cubic feet. In metres the thickness is typed in centimetres and the answer comes out in cubic metres, which is how concrete is ordered in metric countries. The tool gives the geometric volume only; it does not add an allowance for waste or an uneven base.
How do I find the volume of a pipe?: A pipe is a cylinder: pick Cylinder, switch the measure to Diameter, type the inner diameter (not the outer, which includes the wall), and type the pipe's length as the height. A pipe with a 10 cm inner diameter and 300 cm of length holds π × 5² × 300 = 23,562 cm³, which the litres row gives as 23.56 litres.
Do I enter the radius or the diameter?: Either. The cylinder, sphere, hemisphere, cone and tank take a radius by default, and a switch beside the field turns it into a diameter. The diameter is halved before it goes into the formula, and the formula line says so: it reads π r² h, r = d/2. A radius of 0.5 m and a diameter of 1 m are the same cylinder, and with a height of 1.2 m both give 0.942478 m³.
Which units come out?: The volume is in the cube of the unit you typed in, and the rows under it give litres, US gallons and UK gallons every time, plus three cubic units chosen for the scale you are working at: cubic feet, cubic yards and cubic inches for metres, for instance. The conversions use exact definitions: a litre is 1,000 cm³, a cubic foot is 28.316846592 litres, a US gallon is 231 cubic inches (3.785411784 litres) and a UK gallon is 4.54609 litres, so a UK gallon is about 1.2 US gallons.
How are measurements, units and saved work handled?: Choose the measured unit before typing; changing it reinterprets bare numbers rather than converting them. Decimal and scientific numbers, complete comma groups such as 1,200, numeric fractions such as 3/4 and mixed numbers such as 2 1/2 are accepted; written unit suffixes and expressions are not. Switching radius and diameter converts the current measurement to preserve the shape. Saved strings restore without writing defaults. Deliberate edits preserve independent newer saved fields, and malformed records are left intact. Results, full tank capacity and conversions must fit the supported numeric range. The visible result summary is selectable if the clipboard is unavailable.

Rounded browser arithmetic for the dimensions and ideal shapes shown; pools assume a uniform or linear depth profile. Drawings are schematic. A US gallon is 231 cubic inches and a UK gallon is 4.54609 litres.