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).
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:
where:
- V is the volume of the cone
- mD is the mean density.
Mean Density Table
| Common Mean Densities in Kilograms per Meter Cubed (kg/m3) | ||
|
Fluids
Fuels
Market-Ready 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:
- 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
- Cone Surface Area based on cone height and cone base radius
- Cone Volume based on cone height and cone base radius
- Cone Mass or Weight as a function of the volume and mean density
- Cone Frustum Surface Area based on the two heights and two radii
- Cone Frustum Volume based on the two heights and two radii
- Cone Frustum Weight or Mass based on the cone frustum volume and mean density
- Cone Shell Volume a.k.a. hollow cone volume
- Cone Shell Mass or Weight a.k.a. hollow cone mass
- Moment of inertia of a cone shaped object based on mass and rotation axis
- Moment of inertia of a cone shaped object based on mass and distance to apex (rotation around apex)
- Compute the total surface are of the frustum of a cone: This includes the top and bottom surfaces.
- Compute the lateral surface area (using L) of the frustum of a cone.