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Hollow Cylinder Mass

Last modified by
on
Aug 20, 2024, 11:17:46 AM
Created by
on
Jul 5, 2014, 8:42:12 AM
`M = pi * h * ( r^2 - (r-t)^2) * mD`
`(h)"Height of Cylinder"`
`(r)"Outer Radius of Cylinder"`
`(t)"Thickness of Cylinder Wall"`
`(mD)"Density of Cylinder Material"`
Tags
cylinder Geometry 3D hollow hollow cylinder
UUID
424c25e6-0420-11e4-b7aa-bc764e2038f2

The Mass or Weight of a Hollow Cylinder calculator computes the mass of a hollow cylinder based on the dimensions and the density.  This is for an open ended cylinder with no top or bottom./attachments/424c25e6-0420-11e4-b7aa-bc764e2038f2/Cylinder - Hollow.pngOpen Ended (no top or bottom)

INSTRUCTIONS: Choose units and enter the following:

  • (h) Height of Cylinder
  • (r) Outer radius of Cylinder
  • (t) Thickness of Cylinder Wall
  • (mD) Density of Cylinder Material (default of 7.85 g/cm3 for steel)

Hollow Cylinder Mass(M): The calculator returns the mass of the hollow cylinder in grams (g).  However this can be automatically converted to other mass and weight units via the pull-down menu. The calculator also returns:

  • (M) Mass or Weight of hollow cylinder in grams.
  • (CV) Casing Volume, which is the volume amount of material in the hollow cylinder in cubic centimeters (cm3)
  • (HV) Hollow Volume for the volume within the cylinder (inside the casing) in cubic centimeters (cm3)
Common Material Densities (mD)  
Material Density  
Steel 7.85 g/cm3  
Copper 8.92 g/cm3  
PVC 1.38 g/cm3  
Aluminum  2.7 g/cm3  

Hollow Cylinder Calculators

The Math

The formula for the mass of a hollow cylinder is:
            `M = pi * h * ( r^2 - (r-t)^2) * mD`
where:

  • M = mass of the hollow cylinder.
  • h = height
  • r = outer radius
  • t = thickness
  • mD = Mean Density of cylinder material. 

The Mass of a Hollow Cylinder calculator computes the volume of the outer cylinder and subtracts the volume of the inner core.  It then uses the formula for mass from volume and density:

M = V • mD

where:

The mean density(mD) of many common substances, elements, liquids and materials can be found by clicking HERE (e.g. the mD of water is 1,000 kg/m3).

Mean Density Table

Common Mean Densities in Kilograms per Meter Cubed (kg/m3)

Fluids

  • Pure Water - 1,000  
  • Seawater - 1,022  
  • Milk - 1,037 
  • Olive Oil - 860
  • Cement Slurry - 1,442 

Fuels

  • Diesel Fuel - 885 
  • Crude Oil - 870 to 920  
  • Fuel Oil -  890  
  • Ethanol - 789  
  • Gasoline (petrol) - 737 
  • Propane - 493 
  • Liquid Natural Gas - 430 to 470 

Market-Ready Grains

 

Metals

Earthen

  • Concrete - 2,371
  • Dirt - 1,250
  • Fire Clay - 1,362
  • Glass - 2,500
  • Granite - 2,691
  • Sand (dry) - 1,602
  • Sand (wet) - 2,082
  • Sandstone - 2,323

Synthetic

  • Bakelite - 1,362
  • Carbon Fiber - 2,000

Organic

  • Balsa - 170
  • Cork - 240
  • Mahogany - 545
  • Oak - 760
  • Pine - 539
  • Rubber - 1,522
                 Mean Density Lookup Function

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)

If you want to identify a material by its density, use the Density Within Range tool.

 
 

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