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Bottle Content Weight

Last modified by
on
Jul 20, 2024, 1:43:57 PM
Created by
on
Jul 20, 2024, 1:29:08 PM
M=1000[13πh2(a2+ab+b2)+πb2h1]
(a)neck upper radius
(h2)tapered neck height
(b)body radius
(h1)body height
(mD)mean density
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0adc5fd8-469c-11ef-98f1-bc764e203090

The Bottle Content Weight calculator computes the weight of a bottles contents based on the dimensions of the bottle and the mean density of the material. Bottlevolume-illustration.png

INSTRUCTIONS: Choose the length units you wish (e.g. centimeters or inches) and enter the following: 

  • (a) neck radius at the top of the bottle
  • (h2) height of the tapered neck section
  • (b) base section's radius
  • (h1) height of the bottle's base that is a constant diameter along it's length from the bottom base to the beginning of the taper.
  • (mD) mean density of contents.

Bottle Content Weight (M):  The calculator returns the mass in grams.  However, this can be automatically converted to compatible units via the pull-down menu.


Bottle Calculators

The Math / Science

The formula for the mass of a bottle shaped object is the volume of the bottle times the density of the material.  Assuming normal gravity, this also provides the weight.  Geometrically, a bottle shaped object is the combination of right circular cone with a frustum defined by base radius (a) and top radius (b) and height (h2) in between and a cylinder of radius (b) and height (h1).  The volume is calculated and then multiplied by a mean density (mD) to provide the mass of the shape. 


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.



Weight is technically the downward force that a mass exerts based on the force of gravity and the mass of the object.  On the surface of the Earth, mass and weight are often interchanged.  In some places, objects are sold by the gram (mass), and in other locations, the same objects are sold by the ounce (weight).

The Weight Calculators use the dimensions of an object and its shape to compute the objects volume.  They then apply a density associated with a material to estimate the objects weight.


Weight Calculators

 

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