Cylinder Height From Volume Calculator
Find the height of a right circular cylinder from its volume and base radius. Enter volume in cubic units matching the selected length unit.
How to use Cylinder Height From Volume Calculator
1. Choose Measurement Unit, then enter Cylinder Volume, Radius without a unit suffix. 2. Use the selected ordinary, square or cubic unit for each measurement as explained below; changing the selector relabels inputs and does not convert them. 3. Select Calculate, or press Enter, and read cylinder height. 4. Select Select Copy result to copy the answer, or Reset to clear the form.
Why use this tool?
Estimate the straight-sided height needed to hold a known volume when the circular base size is already fixed.
How the calculation works
Volume = π × radius² × height, so height = volume ÷ (π × radius²). Radius must be greater than zero. Results use up to six decimal places. Tiny nonzero results below 0.000001 use scientific notation with six significant digits. Browser floating-point arithmetic can introduce small rounding differences. Inputs and calculated magnitudes must not exceed 9,007,199,254,740,991. Negative physical measurements and arithmetic underflow are rejected. Zero dimensions are treated as a degenerate limit where the formula allows them; divisors and sides of an actual triangle must be positive. Formula reference: https://openstax.org/books/prealgebra-2e/pages/c-geometric-formulas
Example
Cylinder Volume = 1,000 cm³ and Radius = 5 cm give a height of 12.732395 cm.
Practical tip
With cm selected, 1 litre is 1,000 cm³. With m selected, enter m³. The unit selector does not convert litres automatically.
Frequently asked questions
Can I enter litres directly?
Convert to the matching cubic unit first. For example, 2 litres is 2,000 cm³ when the selected length unit is cm.
Does this work for a tapered container?
The formula assumes a constant circular cross-section and straight sides. A cone, frustum or irregular container needs another volume model.
Does changing Measurement Unit convert my numbers?
No. The selector states the unit of the numbers you enter and labels the answer. Convert measurements first when changing units. Area inputs use square units and volume inputs use cubic units; result precision follows the rounding method above.