ToolkitBook
Enter a cylinder's diameter or radius and height to get its volume, total surface area, lateral area, and base area. Switch between diameter and radius input, pick metric or imperial units, and follow the formula step by step with your numbers. The calculator converts between units automatically and shows liter equivalents for metric inputs. Handy for tank capacity and pipe volume calculations.
Divide the diameter by 2 to get the radius. Square the radius, multiply by π, then multiply by the height: V = π × (d/2)² × h, which simplifies to V = π × d² × h / 4. Enter your diameter and height above and the calculator works through every step with your numbers.
Millimeters, centimeters, meters, inches, and feet. Diameter and height can use different units — the calculator converts them automatically. Volume is shown in cubic units matching the diameter unit, with liter equivalents for metric inputs.
Yes. Switch to Radius mode using the toggle at the top. The calculator applies V = π × r² × h directly, skipping the diameter-to-radius conversion step.
The lateral surface area covers only the curved side — picture peeling the label off a can and laying it flat. It equals π × d × h (or 2πrh). Total surface area adds the two circular end caps: 2πr² + 2πrh.
1 liter = 1000 cm³. A cylinder holding 4700 cm³ contains 4.7 L. When you use centimeters or meters as the input unit, the results section lists both the cubic-unit volume and the liter equivalent.
The standard volume formula uses radius, but pipe sizes, tank specs, and bore dimensions are typically given as diameter. The steps trace the conversion so each number in the formula has a clear source.
This calculator treats the cylinder as solid. For a hollow pipe, run two calculations — one with the outer diameter, one with the inner diameter — and subtract the inner volume from the outer volume to get the material volume.