Calculating your volume is straightforward once you know the Capsule 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 Capsule Volume Calculator.
What is Capsule Volume?
The Capsule Volume calculation tells you your volume from a few simple inputs. The figure you are solving for here is the volume.
The Capsule Volume formula
The core formula is:
Volume = 3.141592653589793 × Radius ^ 2 × Cylinder height (between hemispheres) + (4 ÷ 3) × 3.141592653589793 × Radius ^ 3Here is what each input means:
- Radius — a number. Example: 2.
- Cylinder height (between hemispheres) — a number. Example: 10.
How to calculate it step by step
- Write down the radius (for example, 2).
- Write down the cylinder height (between hemispheres) (for example, 10).
- Apply the formula above to get your volume.
- Double-check the result with the Capsule Volume Calculator.
Worked examples
Example 1
| Input / Output | Value |
|---|---|
| Radius | 2 |
| Cylinder height (between hemispheres) | 10 |
| Volume | 159.1740 |
| Surface area | 175.9292 |
With radius of 2 and cylinder height (between hemispheres) of 10, the volume works out to 159.1740.
Example 2
With radius of 4 and cylinder height (between hemispheres) of 10, the volume works out to 770.7374.
| Result | Value |
|---|---|
| Volume | 770.7374 |
| Surface area | 452.3893 |
Example 3
With radius of 1 and cylinder height (between hemispheres) of 10, the volume works out to 35.6047.
| Result | Value |
|---|---|
| Volume | 35.6047 |
| Surface area | 75.3982 |
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 Capsule Volume Calculator does it instantly, for free, with the formula and a worked example built in.
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