The Frustum Calculator provides equations to calculate volume, mass, and surface area of common frustums Cone frustum , including cones, bottles, pyramids, and cored cones. A frustum is a section of a solid that is produced by "cutting" it between two parallel planes.
Cored Frustum (aka chamfer)
The Frustum calculator provides equations related to Frustums (see definition below). The equations include:
(Common Mean Densities)For the mass equations, one can use the common mean densities formula to look up the mean density of common substances and then use the resulting value as input to the mass equation. The Mean Density Table Lookup button provides the mean density of hundreds (650+) of substances from gases, to metals, woods, foods, liquids and much more. The results are given in `"kg"/m^3` which is the default input units for the mass calculation.
The result of the mass equation can then be used in the equations for the moments of inertia.
In geometry, a frustum (plural: frusta or frustums) is the portion of a solid (normally a cone or pyramid) that lies between two parallel planes cutting it.
The term is commonly used in computer graphics to describe the three-dimensional region which is visible on the screen, the "viewing frustum", which is formed by a clipped pyramid; in particular, frustum culling is a method of hidden surface determination.
In the aerospace industry, frustum is the common term for the fairing between two stages of a multistage rocket (such as the Saturn V), which is shaped like a truncated cone.
In geology, the caldera of a volcano can be approximated as an inverted conic frustum. The volume of a bucket can also be calculated as an inverted conic frustum. By combining a frustum with a cylinder, one can calculate the metrics of a bottle.
Conic frustum on top of cylinder (aka bottle)