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Cylinder volume calculator

Enter the base radius and cylinder height. The calculator shows volume, surface areas and a clearly typeset substitution into the formula.

Cylinder volume: —

Fill in the fields above — the result is computed on this page.

Area of one base
—
Lateral surface area
—
Total surface area
—

What do these numbers mean?
  • We compute it from the formula shown below — not from a prediction model and not from draw history.
  • Volume uses cubic units, while surface areas use square units.
  • Doubling height doubles volume. Doubling radius makes volume four times as large.

Radius and height must be positive. Both values must use the same unit.

How do I use this page?
  1. Enter the base radius.
  2. Enter the height in the same unit.
  3. Read the volume and surface areas with the substituted formula.

What this page does not do: Radius and height must be positive. Both values must use the same unit.

Further reading

Formula

V = πr²h; Aₜ = 2πr² + 2πrh
Theory — how do you calculate cylinder volume?

A cylinder has two equal circular bases joined by a lateral surface running around the full circumference. Volume is found by multiplying the base area πr² by the height h, giving the formula V = πr²h. For a radius of 3 cm and height of 5 cm, the volume equals 45π cm³, roughly 141.37 cm³, with a total surface area of 48π cm². The calculator applies the same substitution to whatever dimensions are entered.

Frequently asked questions

What is the cylinder volume formula?
V = πr²h, where r is the base radius and h is the cylinder height.
How do I calculate total cylinder surface area?
Add both base areas and the lateral area: Aₜ = 2πr² + 2πrh.
Can I enter diameter instead of radius?
Divide the diameter by two first, then enter the resulting radius.

See also

← All calculators

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