Cylinder Mass Input Form
Use the responsive calculator grid below. Large screens show three columns, smaller screens show two, and phones show one.
Example Data Table
These examples show how different sizes, cylinder types, and densities change the final mass.
| Sample | Geometry | Dimensions | Density | Quantity | Total Mass (kg) | Total Mass (g) |
|---|---|---|---|---|---|---|
| Solid Copper Rod | Solid / Diameter | Outer 2 cm, Inner 0 cm, Height 10 cm | 8.96 g/cm³ | 1 | 0.28149 | 281.49 |
| Quartz Tube | Hollow / Diameter | Outer 3 cm, Inner 2 cm, Height 15 cm | 2.65 g/cm³ | 1 | 0.1561 | 156.1 |
| Aluminum Cylinder | Solid / Diameter | Outer 5 cm, Inner 0 cm, Height 20 cm | 2.7 g/cm³ | 1 | 1.06029 | 1060.29 |
| Steel Sleeve Set | Hollow / Diameter | Outer 6 cm, Inner 4 cm, Height 12 cm | 8 g/cm³ | 2 | 3.01593 | 3015.93 |
Formula Used
V = π × r² × h
V = π × h × (R² − r²)
Mass = Volume × Density × Quantity
The calculator converts all dimensions to centimeters and density to g/cm³ before calculating. This keeps the internal math consistent across mixed unit choices.
For a solid cylinder, use one outer radius or diameter. For a hollow cylinder, enter both outer and inner values. Quantity multiplies the final mass after a single-piece calculation is complete.
How to Use This Calculator
- Select whether the cylinder is solid or hollow.
- Choose whether you want to enter radius values or diameter values.
- Pick the dimension unit that matches your measurements.
- Enter outer size, optional inner size, and cylinder height.
- Select a preset material density or switch to custom density.
- Choose the density unit and add the number of pieces.
- Press the calculate button to show results above the form.
- Review total mass, volume, graph, and export options.
Frequently Asked Questions
1) What formula does this cylinder mass calculator use?
It first calculates cylinder volume from geometry, then multiplies that volume by density. For hollow cylinders, it subtracts the inner empty volume from the outer volume before finding the final mass.
2) Should I enter radius or diameter?
Use whichever measurement you already have. The calculator lets you switch between radius mode and diameter mode, then converts the value internally so the mass calculation stays correct.
3) When should I use the hollow cylinder option?
Choose the hollow option for tubes, sleeves, reaction liners, and any cylinder with an empty center. You must enter both outer and inner sizes so the hollow space is removed from the material volume.
4) Can I use kg/m³ for density?
Yes. The calculator accepts either g/cm³ or kg/m³. It converts the selected density unit internally, so you can work with laboratory values or engineering material references without manual conversion.
5) Why does quantity affect only the final result?
The calculator first determines the mass of one cylinder. After that, it multiplies by quantity to produce total mass and total volume, which is the usual workflow for batch estimation.
6) Why does the graph use height on the x axis?
For a fixed radius and density, height changes mass in a clear linear way. That makes the chart useful for comparing how taller or shorter cylinders alter total mass quickly.
7) Is this useful for chemistry work?
Yes. It is helpful for estimating cylindrical samples, sleeves, pellets, liners, and dense material pieces in lab planning, storage, transport, and material balance checks where geometry and density are known.
8) Can I export the calculated results?
Yes. After calculation, you can download a CSV file or a PDF summary of the result table. The page also includes an example table export for quick documentation.