Measure radius, diameter, and length with confidence. See total volume, converted units, and optional mass. Download clean reports for classwork, design, testing, and storage.
Main volume formula: V = (π × r² × L) / 2
Semicircle area: A = (π × r²) / 2
Filled volume: Vfilled = V × fill percentage / 100
Optional mass: m = density × Vfilled
Total surface area: πrL + 2rL + πr²
The calculator converts every input to base units first. It then performs the geometry step. Finally it converts the answer into the selected output units.
| Case | Radius | Length | Fill | Volume | Filled Mass |
|---|---|---|---|---|---|
| Lab channel | 10 cm | 50 cm | 100% | 1.5708 L | 1.5708 kg at water density |
| Storage trough | 25 cm | 100 cm | 100% | 98.1748 L | 98.1748 kg at water density |
| Pipe section | 4 in | 24 in | 75% | 904.7787 in³ | 14.2584 kg at water density |
A half cylinder appears in tanks, troughs, ducts, and lab channels. Its shape is simple, but unit mistakes cause large errors. This calculator reduces that risk. You can enter radius or diameter, choose measurement units, and get a clean result instantly. It also shows surface values and optional mass. That makes the page useful for classroom work and practical design checks.
The main idea is direct. First find the area of a semicircle. Then multiply that area by the cylinder length. The total volume follows from one compact equation. If only part of the shape is used, apply the fill percentage. This gives a quick working volume for storage, transport, or experiment planning. The method stays clear even when you switch between metric and imperial units.
Physics often connects volume with density. A larger volume can hold more liquid, gas, or granular material. When density is known, mass becomes easy to estimate. That is helpful for water channels, fuel containers, and material handling tasks. Small changes in radius matter a lot because radius is squared. Careful measurement of the radius improves the final answer more than most people expect.
Unit conversion is another important step. A value entered in centimeters may need a result in liters. A value measured in feet may need cubic inches or cubic feet. This tool handles those changes for you. It keeps the calculation chain consistent and easier to review. That saves time and helps students see how geometry and physics connect in real work.
Good practice starts with clean input. Measure the inside radius when you need internal capacity. Measure the full length along the center line. Use the fill setting only when you want a reduced usable volume. Add density when mass matters. Then export the result for notes, reports, or checking later. A short, repeatable workflow usually prevents avoidable errors.
The report section also helps with comparison. You can test one length against another, or compare radius and diameter entry methods. The example table shows typical values, so a new user can verify the scale of the answer before relying on it. That simple habit builds confidence and makes later calculations easier to audit. Clear records matter in labs, projects, and maintenance.
The formula is V = (π × r² × L) / 2. Use the inside radius for capacity problems. Use consistent units before calculating.
Yes. Choose diameter in the input menu. The calculator converts it to radius automatically before applying the formula.
Radius is squared in the formula. A small increase in radius causes a larger change in area and volume than the same percentage change in length.
It scales the full half cylinder volume. Use 100 for full capacity. Use lower values to estimate working or partial storage volume quickly.
Mass equals filled volume multiplied by density. Enter density in kg/m³, g/cm³, or lb/ft³, and the result is shown in kilograms.
Measure the inside radius for liquid capacity. Measure the outside radius only when you need external size or outer material estimates.
Yes. It accepts millimeters, centimeters, meters, inches, and feet. Outputs can be shown in common volume and area units.
Exporting helps with lab notes, project reviews, and repeat checks. A saved report reduces transcription mistakes and improves traceability.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.