Calculating your radius is straightforward once you know the Cylinder Radius from Volume formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Cylinder Radius from Volume Calculator.
What is Cylinder Radius from Volume?
The Cylinder Radius from Volume calculation tells you your radius from a few simple inputs. The figure you are solving for here is the radius.
The Cylinder Radius from Volume formula
The core formula is:
Radius = √(Cylinder volume ÷ (3.141592653589793 × Height))Here is what each input means:
- Cylinder volume — a number. Example: 785.4.
- Height — a number. Example: 10.
How to calculate it step by step
- Write down the cylinder volume (for example, 785.4).
- Write down the height (for example, 10).
- Apply the formula above to get your radius.
- Double-check the result with the Cylinder Radius from Volume Calculator.
Worked examples
Example 1
| Input / Output | Value |
|---|---|
| Cylinder volume | 785.4 |
| Height | 10 |
| Radius | 5.0000 |
With cylinder volume of 785.4 and height of 10, the radius works out to 5.0000.
Example 2
With cylinder volume of 1,600 and height of 10, the radius works out to 7.1365.
| Result | Value |
|---|---|
| Radius | 7.1365 |
Example 3
With cylinder volume of 390 and height of 10, the radius works out to 3.5234.
| Result | Value |
|---|---|
| Radius | 3.5234 |
Tips for an accurate result
- Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
- Round only at the very end. Rounding inputs early can shift the final answer noticeably.
- Re-run the numbers whenever an input changes, rather than estimating from an old result.
Prefer not to do the maths by hand? — the Cylinder Radius from Volume Calculator does it instantly, for free, with the formula and a worked example built in.
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