The Cylinder Calculator computes Right Cylinder Partially filled Horizontal CylinderSlanted Cylinderthe radius, height, surface area, volume, density, mass, weight and moments of inertia for objects shaped like a geometric circular cylinder.
Cylinder Moments of Inertia
Mean Density, Mass and Moments of Inertia: 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/m3 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.
A cylinder (from Greek κύλινδρος – kulindros, "roller, tumbler") is one of the most basic curvilinear geometric shapes, the surface formed by the points at a fixed distance from a given line segment, the axis of the cylinder. The solid enclosed by this surface and by two planes perpendicular to the axis is also called a cylinder. The surface area and the volume of a cylinder have been known since deep antiquity.
In differential geometry, a cylinder is defined more broadly as any ruled surface spanned by a one-parameter family of parallel lines. A cylinder whose cross section is an ellipse, parabola, or hyperbola is called an elliptic cylinder, parabolic cylinder, or hyperbolic cylinder respectively.
The open cylinder is topologically equivalent to both the open annulus and the punctured plane.
Related Math Science:
Other applications of cylinders: