Chamfer Weight

The Chamfer Weight(Mass)  formula computes the mass or weight of  a (light grey area) of a right circular cone within a cone frustum.

INSTRUCTIONS: Choose units and enter the following:

• (a) Radius of Cone
• (b) Radius of Core
• (h) Height
• (mD) Mean Density of Material (Default is 7850 kg/m³ for steel)

Mass or Weight of Chamfer (m): The calculator returns the mass in grams.  However, this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

A chamfer is a cone with a removed core.  It is geometrically defined by base radius (a) and top radius (b) and height (h) in between where the cylindrical core (dark grey area) has been removed.  This formula is simply the volume of the frustum of a cone minus the volume of a cylinder that would inscribe it and then a mean density (mD) to develop the mass.

Mean Density Table

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

• Weight from Area, Height and Density
• Cube Weight 
• Box Weight
• Cone Weight
• Cone Frustum Weight
• Cylinder Weight
• Slanted Cylinder Weight
• Semicircle Weight
• Triangular Weight
• Quadrilateral Weight 
• Pentagon Weight 
• Hexagon Weight 
• Heptagon Weight
• Octagon Weight
• Nonagon Weight
• Decagon Weight
• Hendecagon Weight
• Dodecagon Weight
• Paraboloid Weight
• Polygon Pyramid Frustum Weight
• Sphere Mass
• Sphere Cap Weight
• Sphere Segment Weight
• Sphere Shell Mass
• Oblate Spheroid Mass
• Ellipsoid Weight
• Torus Weight
• Bottle Weight
• Bottle Content Weight
• Chamfer Weight
• Ring Weight