Cylinder Density Calculator
Calculate density, mass, volume, radius, diameter or height for solid and hollow cylinders. The tool handles common material presets, gallons and engineering units, while the article explains the geometry instead of assuming every cylinder is a solid coffee can.
Enter your values
Hollow-cylinder calculations subtract the inner volume from the outer volume.
Cylinder Density Calculator chart
The graph updates from the calculator result so you can compare the answer visually instead of staring at one lonely number like civilization intended.
Key terms
Solid cylinder volume
V=πr²h.
Hollow cylinder volume
V=πh(R²-r²).
Cylinder density
Mass divided by material volume.
Diameter
Twice the radius.
Cylinder density formula
For a solid cylinder:
V=πr²hρ=m/(πr²h)Use diameter by substituting r=d/2.
How to use the cylinder density calculator
Choose solid or hollow geometry, enter dimensions and mass or material density, then solve the desired quantity. Use consistent dimensional units or let the tool convert them before volume is calculated.
Mass of a cylinder
For a known material density, mass is m=ρV. Steel, aluminum and other metal-cylinder weight calculations are therefore geometry problems plus the correct material density.
Hollow cylinder and tube formula
For a tube or hollow cylinder, subtract inner volume from outer volume:
V=πh(R²-r²)Ignoring the inner void is one of the easiest ways to overestimate tube mass by a spectacular amount.
Reverse solve radius, diameter or height
If mass, density and two geometric quantities are known, the cylinder equations can be rearranged to solve the missing dimension. This is useful for checking stock sizes and rough design targets.
Cylinder volume in litres and gallons
Once geometric volume is known, convert it to litres, US gallons, cubic inches or cubic feet. A volume conversion does not require density; density is needed only when converting that volume to mass or weight.
Density of a steel cylinder
Steel density varies modestly with composition, but a common engineering estimate for carbon steel is about 7850 kg/m³. Stainless grades and specialty alloys differ, so use the grade-specific value when accuracy matters.
Measurement tolerance and real parts
Machined cylinders can have chamfers, holes, threads, end caps or taper. A perfect-cylinder formula describes ideal geometry. For close mass estimates, use finished-part CAD volume or subtract secondary features.
Worked solid-cylinder example
A solid steel cylinder 50 mm in diameter and 200 mm long has volume about 0.0003927 m³. At 7850 kg/m³, estimated mass is about 3.08 kg. A hollow tube with the same outer dimensions can weigh far less because inner volume is removed.
Cylinder unit conversions
Volume can be reported in m³, cm³, litres, in³, ft³ or gallons. Mass can be converted independently. The calculation sequence is geometry first, material density second, then output conversion.
Common cylinder mistakes
Diameter is not radius, inner diameter must be smaller than outer diameter, and hollow tubes require subtracting inner volume. End caps, flanges and fittings are additional geometry and should not be silently assumed into a plain-cylinder model.
Density of common cylinder materials
Metal rods, tubes and shafts are often estimated from standard densities: aluminum around 2700 kg/m³, carbon steel around 7850 kg/m³, copper around 8960 kg/m³ and titanium around 4500 kg/m³. Actual alloy values should be checked for procurement, lifting or precision mass work.
Solid vs hollow cylinder visual logic
For a hollow tube, material occupies the annular cross-section rather than the full outer circle. As wall thickness becomes small relative to diameter, using the solid-cylinder formula can overestimate mass dramatically. The calculator therefore keeps outer and inner diameter explicit instead of hiding wall geometry behind a single “tube weight” shortcut.
Cylinder density applications
Common uses include estimating rods, pipes, rollers, tanks, shafts, cores and laboratory samples. Pressure vessels, cylinders with domed ends and tapered parts need more detailed geometry than this ideal straight-cylinder model.
Frequently asked questions
How do you calculate the density of a cylinder?
Calculate material volume, then divide mass by volume. For a solid cylinder V=πr²h.
How do you calculate the weight of a cylinder?
Find volume, multiply by density for mass, then multiply by gravity if weight force is required.
How do you find the mass of a cylinder?
Use m=ρπr²h for a solid cylinder.
How do I calculate cylinder volume in gallons?
Calculate geometric volume, then convert the volume unit to US gallons.
What is the formula for a hollow cylinder?
V=πh(R²-r²).
Sources & references
We prefer standards bodies, government/scientific agencies and primary technical references. Reference values can vary with conditions, grade, composition or measurement method.
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