Calculating your volume is straightforward once you know the Hollow Cylinder 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 Hollow Cylinder Volume Calculator.
What is Hollow Cylinder Volume?
The Hollow Cylinder Volume calculation tells you your volume from a few simple inputs. The figure you are solving for here is the volume.
The Hollow Cylinder Volume formula
The core formula is:
Volume = 3.141592653589793 × (Outer radius ^ 2 - Inner radius ^ 2) × HeightHere is what each input means:
- Outer radius — a number. Example: 5.
- Inner radius — a number. Example: 3.
- Height — a number. Example: 10.
How to calculate it step by step
- Write down the outer radius (for example, 5).
- Write down the inner radius (for example, 3).
- Write down the height (for example, 10).
- Apply the formula above to get your volume.
- Double-check the result with the Hollow Cylinder Volume Calculator.
Worked examples
Example 1
| Input / Output | Value |
|---|---|
| Outer radius | 5 |
| Inner radius | 3 |
| Height | 10 |
| Volume | 502.6548 |
With outer radius of 5, inner radius of 3 and height of 10, the volume works out to 502.6548.
Example 2
With outer radius of 10, inner radius of 3 and height of 10, the volume works out to 2,858.8493.
| Result | Value |
|---|---|
| Volume | 2,858.8493 |
Example 3
With outer radius of 2.5, inner radius of 3 and height of 10, the volume works out to -86.3938.
| Result | Value |
|---|---|
| Volume | -86.3938 |
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 Hollow Cylinder Volume Calculator does it instantly, for free, with the formula and a worked example built in.
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