Enter your cylinder's mass, radius, and height to calculate its density using the formula ρ = m / (π × r² × h). You can also provide volume directly if you already know it. The Cylinder Density Calculator returns the density in kg/m³ along with the calculated volume — useful for materials science, engineering, and physics problems.
Density (ρ)
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Volume
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Density Unit
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Volume (Liters)
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Density is the amount of mass contained in a given unit of volume. It is expressed by the formula ρ = m/V, where ρ is density, m is mass, and V is volume. The SI unit of density is kilograms per cubic meter (kg/m³), while the imperial unit is pounds per cubic foot (lb/ft³).
To find the density of a cylinder, divide its mass by its volume. Since the volume of a cylinder is π × r² × h (where r is the radius and h is the height), the full formula is ρ = m / (π × r² × h). Simply enter the mass, radius, and height into this calculator to get the result.
The density of a cylinder is calculated using ρ = m / (π × r² × h), where ρ is density, m is mass, r is the radius of the circular base, and h is the height of the cylinder. This combines the general density formula ρ = m/V with the cylinder volume formula V = π·r²·h.
First, calculate the volume: V = π × 5² × 10 ≈ 785.4 cm³. Then, density = 500g / 785.4 cm³ ≈ 0.6366 g/cm³, which equals approximately 636.6 kg/m³. This is less dense than water (1000 kg/m³), so the cylinder would float.
An oblique cylinder (one that leans to the side) has the same volume formula as a right cylinder: V = π × r² × h, where h is the perpendicular height, not the slant height. Therefore, you can use this calculator for oblique cylinders as long as you use the true vertical height.
This calculator accepts mass in grams (g) and dimensions in centimeters (cm) by default. The output density can be displayed in several units including kg/m³, g/cm³, kg/cm³, g/m³, and kg/L. You can select your preferred output unit from the dropdown menu.
Whether a cylinder sinks or floats depends on its density relative to the liquid. If the cylinder's density is less than water (1000 kg/m³ or 1 g/cm³), it will float. If its density is greater than water, it will sink. This principle is governed by Archimedes' law of buoyancy.
This tool is primarily designed to calculate density from mass and dimensions. However, if you know the density and volume (or dimensions), you can rearrange the formula: mass = density × π × r² × h. For a direct mass calculator, consider using a dedicated cylinder mass tool.