Checked example
Worked calculation
Result: A radius of 1.5 m and height of 4 m give 9π ≈ 28.2743 m³.
01 • Guide
What “right” means
Right describes the angle between the cylinder’s axis and base, not the direction it points. A can lying on its side remains a right circular cylinder because its ends are perpendicular to its central axis.
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
Capacity and solid volume
Using interior dimensions estimates how much the shape can contain. Using exterior dimensions estimates the occupied envelope of a solid cylinder. Do not interchange them for thick-walled objects.
The calculator validates physical limits before displaying a result. Blank or impossible inputs never produce a stale value, NaN or Infinity.
03 • Guide
Formula confidence check
Doubling height doubles volume. Doubling radius multiplies volume by four. Those relationships are useful for catching an accidentally entered diameter or unit.
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.