Checked example
Worked calculation
Result: Radius 4 cm and height 12 cm give π × 16 × 12 = 603.185789 cm³.
01 • Guide
Base area times height
A cylinder keeps the same circular cross-section along its height. Multiplying the base area πr² by height adds those equal slices into a three-dimensional volume.
Keep the full precision of intermediate values and round only the final display. This avoids compounding error when a derived radius or converted unit is used in another step.
02 • Guide
Independent input units
Radius and height do not have to arrive in the same unit. This calculator converts each physical length to metres internally, so 4 cm with 0.12 m produces the same result as 4 cm with 12 cm.
The calculator validates physical limits before displaying a result. Blank or impossible inputs never produce a stale value, NaN or Infinity.
03 • Guide
What the result represents
For a solid object, the answer is material volume. For a hollow vessel, the same formula using interior dimensions gives capacity. A pipe wall needs the hollow-cylinder formula instead.
Interpretation
How to use the result responsibly
The answer models an ideal geometric cylinder. Manufacturing tolerances, wall thickness, rounded ends, deformation, tank tilt and measurement uncertainty can all shift a real value. Use inside dimensions for capacity and outside dimensions for occupied space. For safety, compliance, dosing, structural or purchasing decisions, compare the estimate with drawings, calibration data or a qualified professional.
Dimensional checks help catch mistakes: a volume result must carry cubic units, an area result square units and a derived radius or height linear units. If changing one unit alters the represented physical size, a conversion step was missed.