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Cone Weight

vCalc Reviewed
Last modified by
on
Jul 20, 2024, 9:51:14 PM
Created by
on
Jun 30, 2014, 2:13:08 PM
M=[13πr2h]7850
(h)Height of Cone
(r)Radius of Cone Base
(mD)Mean Density of Material
Tags
UUID
a90e8fb0-0060-11e4-b7aa-bc764e2038f2

The Weight or Mass of a Cone calculator computes the mass based on the mean density of the cone material (mD) and its volume as a function of the height (h) and the radius of the base (r)./attachments/a90e8fb0-0060-11e4-b7aa-bc764e2038f2/ConeWeight-illustration.png  A geometric Cone 

INSTRUCTIONS: Choose units and enter the following:

  • (h) Height of Cone.
  • (r) Radius of Cone Base
  • (mD) Mean Density of Cone Material.(Default is 7,850 kg/m3 for steel)

Mass or Weight of a Cone (m): The calculator returns the mass of the cone in kilograms.  However, this can be automatically converted other mass or weight units via the pull-down menu.

The Math / Science

This formula computes the volume of the geometric shape based on the input parameters.  It then uses the formula for mass from volume and density:

M = V • mD

where:


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


Cone Calculators

  1. Cone Surface Area based on cone height and cone base radius
  2. Cone Volume based on cone height and cone base radius
  3. Cone Mass or Weight as a function of the volume and mean density
  4. Cone Frustum Surface Area based on the two heights and two radii
  5. Cone Frustum Volume based on the two heights and two radii 
  6. Cone Frustum Weight or Mass based on the cone frustum volume and mean density
  7. Cone Shell Volume a.k.a. hollow cone volume
  8. Cone Shell Mass or Weight a.k.a. hollow cone mass
  9. Moment of inertia of a cone shaped object based on mass and rotation axis
  10. Moment of inertia of a cone shaped object based on mass and distance to apex (rotation around apex)
  11. Compute the total surface are of the frustum of a cone:  This includes the top and bottom surfaces.
  12. Compute the lateral surface area (using L) of the frustum of a cone.
  13. Cone Frustum Volume from Angle
  14. Cone Frustum Height from Volume and Outer Side Angle: Computes height based on volume, small radius and outer side angle.
  15. Cone Frustum Height from Volume and Inner Side Angle: Computes height based on volume, small radius and inner side angle.


This equation, Cone Weight, is used in 4 pages
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