Checked example
Worked calculation
Result: Outer radius 5 cm, inner radius 4 cm and length 100 cm give 900π = 2,827.433388 cm³ of material.
01 • Guide
Material volume, not capacity
This result describes the annular wall. Internal capacity alone is πr²h, while the total outer envelope is πR²h. Label the intended quantity before choosing dimensions.
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
Radius and diameter pairs
Outer and inner diameters can be used by halving them. The inner value cannot exceed the outer value; equality produces zero wall material and a larger inner value is physically impossible.
The calculator validates physical limits before displaying a result. Blank or impossible inputs never produce a stale value, NaN or Infinity.
03 • Guide
From volume to mass
Once material volume is known, multiply by density in compatible units to estimate mass. Real pipe fittings, threads, coatings and tolerances may require a manufacturer’s mass-per-length table.
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.