Calculate the density of a cylinder from diameter, height, and mass. Material identification, volume, surface area, and reference comparison table.
Cylindrical objects are everywhere—pipes, rods, cans, dowels, and machine parts. Determining the density of a cylinder requires measuring just three things: diameter, height (or length), and mass. With V = πr²h and ρ = m/V, you can quickly identify the material or verify that a component meets specification.
This calculator handles all the unit conversions automatically and matches your computed density against a database of common materials. Whether you are a student measuring lab samples, a machinist verifying bar stock, or an engineer checking a casting, the instant material identification saves time and prevents material mix-ups.
The results include volume, surface area, aspect ratio, density in multiple units, and a visual comparison chart showing where your cylinder's density falls among common engineering materials. Preset examples demonstrate typical real-world cylindrical objects from soda cans to steel pipes. Check the example with realistic values before reporting. Use the steps shown to verify rounding and units. Cross-check this output using a known reference case.
Cylindrical parts are the most common shape in metalworking, and density verification is the quickest non-destructive test for material identity. This calculator eliminates manual volume calculations and unit conversion errors that are common in shop-floor measurements.
The built-in material database turns a raw density number into actionable information: is this rod aluminum or magnesium? Is this tube brass or bronze? One measurement gives the answer.
Volume of cylinder: V = π × (d/2)² × h. Density: ρ = m / V. Surface area: SA = 2πr(r + h). Aspect ratio = h / d.
Result: 0.921 g/cm³ (921 kg/m³)
Volume = π × 3.3² × 12.2 = 417.3 cm³. Density = 384 / 417.3 = 0.920 g/cm³. This is close to HDPE plastic or a liquid-filled container.
The most common error in cylinder density measurement is inaccurate diameter reading. Since volume depends on diameter squared, a 1% error in diameter causes a 2% error in volume (and thus density). Always use calipers rather than rulers, and measure at multiple points to detect taper or ovality.
| Part | Typical Material | Expected Density | |---|---|---| | Hydraulic piston rod | Chrome-plated steel | 7,850 kg/m³ | | Electrical bus bar | Copper alloy | 8,500–8,960 kg/m³ | | Soda can (empty) | Aluminum 3004 | 2,710 kg/m³ | | Wooden dowel | Birch/oak | 600–800 kg/m³ | | Lab sample vial | Borosilicate glass | 2,230 kg/m³ |
For hollow cylinders, the effective density calculation uses the annular cross-section: V = π × h × (R_outer² − R_inner²). The wall thickness can be found from (R_outer − R_inner), and for thin-walled tubes, an approximation V ≈ π × d_mean × t × h works well, where t is wall thickness.
Use digital calipers and measure at several points along the length. If the cylinder is not perfectly round, measure the maximum and minimum diameters and average them.
For hollow cylinders (tubes/pipes), measure outer and inner diameters. Volume = π × h × (R_outer² − R_inner²). Then density = mass / volume.
No—density is independent of orientation. Whether you call the longest dimension "height" or "length" does not affect the calculation, as long as diameter and height are correct.
Within ±5% for pure metals and common materials. Alloys, composites, and porous materials may not match exactly due to composition variations.
No—tapered cylinders (cones or truncated cones) have different volume formulas. This calculator assumes a straight (right circular) cylinder.
Aspect ratio (h/d) helps verify measurements. A ratio near 1 means disc-like; much greater than 1 means rod-like. If your physical sample does not match the computed ratio, recheck dimensions.