The Mass or Weight of a Paraboloid calculator the weight or mass of a paraboloid of revolution around an axis of length (a) of a width of (b) with a mean density (mD). 
A Paraboloid
INSTRUCTIONS: Choose your preferred units and enter the following:
- (a) Length along Axis
- (b) Length from Axis to Edge of Parabola.
- (mD) Density of the material in the paraboloid (CLICK HERE).
Mass of the Paraboloid (M): The calculator returns the mass of the paraboloid in kilograms. However, this can be automatically converted to other mass and weight units via the pull-down menu.
The Math / Science
This formula computes the volume of the geometric shape based on the input parameters. With the computed volume, this formula then executes the simple equation below to compute the approximate mass of the object.
The mean density (mD, μD or ρ) of many common substances, elements, liquids and materials can be found by clicking HERE (e.g. the μD(water) is 1000.0 kg/m³).
Mean Density Table
| Common Mean Densities in Kilograms per Meter Cubed (kg/m3) | ||
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Fluids
Fuels
Market-Ready Grains |
Metals
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Earthen
Synthetic
Organic
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| 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.
Parabola Calculators
- Parabola Formula: This computes the y coordinate of a parabola in the form y = a•x²+b•x+c
- Parabolic Area: This computes the area within a section of a parabola
- Parabolic Area (Concave): This computes the outer area of a section of a parabola.
- Parabolic Arc Length: This computes the length a long a segment of a parabola.
- Paraboloid Volume: This is the volume of a parabola rotated around an axis (i.e. paraboloid)
- Paraboloid Surface Area : This is the surface area of a paraboloid.
- Paraboloid Weight: This is the weight or mass of a paraboloid.
- Ballistic Flight Parabolic Equation: This provides the formula of the parabola that matches a ballistic flight.
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