Conic cylinder

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The Mass of a Conic Cylinder calculator computes the mass or weight of a cylinder with cone shaped (tapered) ends (see diagram). /attachments/e6aca465-2a39-11e4-b7aa-bc764e2038f2/Coniccylinderweight-illustration.png Conic Cylinder

INSTRUCTIONS: Choose the preferred units and enter the following:

(d₁) Main Cylinder Diameter
(d₂) Diameter Left End
(d₃) Diameter of Right End
(l₁) Length of Main Cylinder
(l₂) Length of Left End
(l₃) Length of Right End
(mD) Mean Density of Solid or Full Conic Cylinder.

Conic Cylinder Mass: The calculator returns the volume in cubic meters. However, this can be automatically converted to other volume units (e.g. gallons) via the pull-down menu.

Related Calculators:

Volume of a Conic Cylinder

The Math / Science

Geometrically, a conic cylinder is a cylinder of any length (l) with a conic frustum on both ends. There are three radii and three lengths. See diagram. Therefore, the volume of the conic cylinder is the sum of the following:

This is the formula for the mass or weight of a cone ended cylinder. Geometrically, this is a cylinder of any length (l) with a conic torus on both ends. There are three radii and three lengths. See diagram. The calculated volume is multiplied by a mean density (mD) to provide the mass of the object. Assuming standard earth gravity at sea level, the mass can be converted to weight.

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

Corn - 721 (56 lb/bu)
Wheat - 772 (60 lb/bu)
Barley - 618 (48 lb/bu)
Oats - 412 (32 lb/bu)
Rye - 721 (56 lb/bu)
Soybean - 772 (60 lb/bu)

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.