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Volume of Cylinder Calculator

Volume of a cylinder = π × r² × h. A round column 600 mm in diameter and 3 m high has r = 0.3 m, so π × 0.3² × 3 = 0.848 m³, or 848 litres. In feet, a cylinder 2 ft across and 10 ft high holds π × 1² × 10 = 31.4 ft³, or 235 US gallons.

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Cylinder
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Cylinder with its diameter and heightVolume 0.848 m³h 3 mØ 0.6 mmyconstructioncalculator.comNot to scale
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Results

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Volume
0.848m³
In litres848.2 L
In ft³29.95 ft³
Curved surface area (each)5.655 m²
Total surface area with both ends (each)6.22 m²
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Working
  1. Radius r = 0.6 ÷ 2 = 0.3 m
  2. Volume = π × r² × h = π × 0.3² × 3 = 0.8482 m³
  3. 1 m³ = 1,000 L, so 0.848 m³ = 848.2 L
  4. Curved surface = 2π × r × h = 5.655 m²

Results are estimates for planning and material ordering only. They are not a substitute for structural design or approval by a qualified engineer. Read the full disclaimer.

Formula

V = π × r² × h        (r = diameter ÷ 2)
Curved surface = 2π × r × h
Total surface  = 2π × r × h + 2π × r²
1 m³ = 1,000 L;  1 ft³ = 7.4805 US gal

Worked Example

A round column 600 mm in diameter and 3 m high:

  1. r = 0.6 ÷ 2 = 0.3 m
  2. V = π × 0.3² × 3 = 0.848 m³ (848 L)
  3. Formwork (curved surface) = 2π × 0.3 × 3 = 5.65 m²

Volume per Metre of Height

Diameter Volume per m Litres per m
300 mm 0.0707 m³ 70.7
450 mm 0.159 m³ 159
600 mm 0.283 m³ 283
750 mm 0.442 m³ 442
900 mm 0.636 m³ 636
1,000 mm 0.785 m³ 785
1,200 mm 1.131 m³ 1,131

Frequently Asked Questions

What is the formula for the volume of a cylinder?

V = π × r² × h: the area of the circular end times the height. Use half the diameter for r.

How do I find the volume of a cylinder in litres?

Work it out in cubic metres and multiply by 1,000. A tank 1 m across and 1.5 m high is π × 0.5² × 1.5 = 1.178 m³ = 1,178 litres.

How many gallons are in a cylinder?

Work out the volume in cubic feet and multiply by 7.48 for US gallons. A 2 ft × 10 ft cylinder is 31.4 ft³ = 235 gallons.

How much concrete is in a round column or pile?

The same formula. Ten piles 450 mm in diameter and 8 m long need 10 × π × 0.225² × 8 = 12.7 m³ before wastage.

What is the surface area of a cylinder?

Curved side = 2π × r × h; add 2 × π × r² for the two ends. Use the curved side for formwork or paint on a round column.

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