The Weight of a Cone Shell calculator computes the mass (weight) of the shell of a right circular cone or cone frustum defined by a top radius (a) and base radius (b), height (h) in between, the thickness (t) and the mean density (mD). NOTE: NEW DEFAULT UNITS.
INSTRUCTIONS: Choose units and enter the following:
Cone Shell Weight (M):The calculator computes the mass/weight of the cone in kilograms. However, this can be automatically converted to numerous other mass/weight units (e.g. pound, tons) via the pulldown menu. Note: For a complete cone, simply let the top radius (a) remain as zero.
Note: the frustum is created by parallel planes that go through the cone and are normal (perpendicular) to the center axis of the cone. The planes are separated by the height (h). The formula for the Volume of the Frustum of a cone is as follows:
V = ^{1}/_{3} • π • h(a^{2}+a•b+b^{2})
The Mass of a Cone Shell calculator:
As of 16 July 2024, the default input units have been changed from meters (m) to millimeters (mm) and the default density of material has been set to 7850 kg/m^{3}, which is the density of steel. This change was made to accommodate the most frequent users of this calculator.
Common Mean Densities in Kilograms per Meter Cubed (kg/m^{3})  
Fluids
Fuels
MarketReady Grains 
Metals

Earthen
Synthetic
Organic

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