The Mass of a Cylinder calculator computes the mass or weight (m) of a cylinder based on the radius of the cylinder (r), the height (h) and the density (ρ).
INSTRUCTIONS: Choose units and enter the following:
- (r) Radius of Cylinder
- (h) Height of Cylinder
- (ρ) Density of Material
Mass of the Cylinder (m): The calculator returns the mass of the cylinder in kilograms. However, this can be automatically converted to other mass and weight units via the pull-down menu. The calculator also returns the volume in liters, which can also be automatically converted to compatible units via the pull-down menu.
The Math / Science
The formula for the mass of a cylinder is:
m = ρ•π•r²•h
where:
- m is the mass of the cylinder
- ρ is the density of the cylinder
- r is the radius of the cylinder
- h is the height of the cylinder
| Common Mean Densities | |
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Fluids
Fuels
Market-Ready Grains |
Metals
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Mean Density is the average amount of mass within a volume for a substance. Note, volume of a material is often highly subject to the temperatures, since materials expand as they warm. For that reason, mean densities of substances are often cited with a set of nominal conditions such as temperature and barometric pressure.
The formula for mean density is:
μD = V / m
where:
- μD = mean density
- V = Volume in units like cubic meters or cubic inches
- m = Mass in units like kilograms or pounds
Mean density is also often indicated as the Greek symbol rho (ρ).
Mass and Weight
Density is a function of mass. However, converting from mass to weight is trivial under the right conditions. Fortunately those conditions are generally true anywhere on the surface of the Earth, so the conversions built into the vCalc engine can be assumed to be fairly accurate unless you require weight at very high altitudes or in space.
The mean density (mD or μD) of many common substances, elements, liquids and materials can be found by clicking HERE .
Mean Density Units
Mean density is scientifically volume divided by mass. There are various unit for density adopted by cultures and industries. Common units for density included the following:
- kilograms per cubic meter (kg/m3)
- grams per cubic centimeter (g/cm3)
- grams per liter (g/L)
- pounds per cubic feet (lb/ft3)
- ounces per cubic inch (oz/in3)
- pounds per barrel (lb/bbl)
- pounds per bushel (lb/bu)
vCalc provides for automatic conversions between density units via the pull-down menus.
Cylinder Calculators
- Lateral Surface Area (sides) of a Cylinder based on height and radius.
- Total Surface Area of a Cylinder including the sides, top and bottom.
- Volume of a Cylinder based on cylinder height and radius
- Cylinder Volume from Height and Circumference
- Height of a Cylinder based on the volume and radius.
- Radius of a Cylinder based on the volume and height.
- Mass or Weight of a Cylinder based on the volume and mean density of the cylinder.
- Density of a cylinder.
- Lateral Surface Area of a Slanted Cylinder.
- Volume of a Slanted Cylinder.
- Weight or Mass of a Slanted Cylinder.
- Moment of Inertia of a cylinder shaped object based around the central axis
- Moment of Inertia of a cylinder shaped object around the end of the cylinder
- Moment of Inertia of a cylinder shaped object perpendicular to the central axis.
- Mean Density of Common substances (useful in calculating the mass/weight and the moments of inertia)
- Axial Stress on a Cylinder
- Tangential Stress in a Cylinder
- Tangential Stress outside a Cylinder
