Height of a Cylinder Calculator
Calculate the height of a right circular cylinder from its radius plus volume (h = V/πr²), or from its radius plus lateral (curved) surface area (h = A/2πr).
Known inputs
units
units³
h = V / (π·r²)
- 1
Base area
π × 5² = 78.5398 - 2
Height
785.4 ÷ 78.5398 = 10Rearranging V = πr²h gives h = V/(πr²).
h = V/(πr²)
10 unitsHow does this calculator work?
Cylinder height h = V/(π·r²) from volume, or h = Lateral area/(2π·r) from the curved surface area. Enter radius and one known dimension to get height plus all derived quantities — base area, lateral area, total surface area, circumference and diameter.
Formula
How this is calculated
A right circular cylinder has two identical circular bases of radius r connected by a curved lateral surface. Its volume is V = π·r²·h, so the height can be recovered by rearranging: h = V/(π·r²). This is the most common scenario — you know the capacity of a tank, pipe, or can and want to find how tall it must be for a given radius.
Alternatively, if you know the lateral surface area LA = 2π·r·h (the material used to wrap just the curved side, excluding end caps), rearrange to get h = LA/(2π·r). This is useful in packaging and manufacturing when you have a fixed amount of sheet material for the cylinder wall.
All other dimensions — base area (π·r²), total surface area 2π·r·(r + h), circumference (2π·r) and diameter (2r) — are derived and shown in the results grid. Keep radius and the known area or volume in the same unit system; the height is then in the same linear unit.
Frequently asked questions
Rearrange V = π·r²·h to get h = V/(π·r²). Divide the volume by π times the radius squared. For example, a cylinder of radius 5 units and volume 785.4 units³: h = 785.4 / (π × 25) ≈ 10 units.
The lateral surface area covers only the curved side: 2π·r·h. The total surface area adds two circular end caps (each π·r²): total = 2π·r·h + 2π·r² = 2π·r·(h + r).
Divide the diameter by 2 to get the radius, then enter that value. Using the diameter directly in place of the radius gives a volume (and therefore height) that is 4× too large because the formula squares the radius.
Also known as
TG we-Calculate Editorial Team. (2026). Height of a Cylinder Calculator [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/height-of-cylinder-calculator
TG we-Calculate Editorial Team. "Height of a Cylinder Calculator." TG we-Calculate. 2026. https://we-calculate.com/calculator/height-of-cylinder-calculator.
TG we-Calculate Editorial Team, "Height of a Cylinder Calculator," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/height-of-cylinder-calculator
@misc{wecalculate_height_of_cylinder_calculator, title = {Height of a Cylinder Calculator}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/height-of-cylinder-calculator}}, year = {2026}, note = {TG we-Calculate} }
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