The Weight of a Semicircle calculator computes the weight of a semicircular shape based on the radius, height and density. 
INSTRUCTIONS: Choose units and enter the following:
- (h) Height of Semicircle
- (r) Radius of Semicircle
- (mD) Mean Density
Semicircle Weigh (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
The formula for the mass of a semicircle is:
M = ½•π•r²•h⋅mD
where:
- M = mass of semicircle
- h = height of the semicircle
- r = radius of the semicircle
- mD = Mean Density
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.
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
Volume is a three dimensional measurement of the amount of space taken up by an object. Volume units are cubic measurements for solid objects such as cubic inches and cubic meters. Fluids have separate volume units such as liters, fluid ounces, cups, gallons, and barrel.
The volume of an object can measured by the liquid it displaces or be calculated by measuring its dimensions and applying those dimensions to a formula describing its shape. Many such calculations are available in the following list of calculators.
In many cases, the calculators are for a column with a geometric shaped base and vertical sides. One basic formula for volume is area times a Height when the volume has vertical sides.
Volume Calculators
- Volume from Area and Height
- Volume of a Cube
- Volume of a Box
- Volume of a Cone
- Volume of a Cone Frustum
- Volume of a Cylinder
- Volume of a Slanted Cylinder
- Volume of a Semicircle
- Volume of a Triangular
- Volume of a Quadrilateral
- Volume of a Pentagon
- Volume of a Hexagon
- Volume of a Heptagon
- Volume of a Octagon
- Volume of a Nonagon
- Volume of a Decagon
- Volume of a Hendecagon
- Volume of a Dodecagon
- Volume of a Paraboloid
- Volume of a Polygon based Pyramid
- Volume of a Pyramid Frustum
- Volume of a Sphere
- Volume of a Sphere Cap
- Volume of a Sphere Segment
- Volume of a Sphere Shell
- Volume of a Oblate Spheroid
- Volume of a Ellipsoid
- Volume of a Torus
- Volume of a Bottle
- Volume of a Chamfer
- Gasket Volume