# Cylinder Calc

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The Cylinder Calculator computes the radius, height, surface area, volume, density, mass, weight and moments of inertia for objects shaped like a Right Cylinder Slanted Cylinder

Cylinder Moments of Inertia
geometric circular cylinder.

The  Right Cylinder equations include the following:

1. Compute the Lateral Surface Area (sides) of the cylinder based on height and radius.
2. Compute the Total Surface Area of a cylinder including the sides, top and bottom.
3. Compute the Volume of a cylinder based on cylinder height and radius
4. Compute the Height of a cylinder based on the volume and radius.
5. Compute the Radius of a cylinder based on the volume and height.
6. Compute the Mass or Weight of a cylinder as a function of the volume and mean density of the substance of the cylinder.
7. Compute the Density of a cylinder.
8. Compute the Lateral Surface Area of a Slanted cylinder.
9. Compute the Volume of a Slanted cylinder.
10. Compute the Weight or Mass of a Slanted cylinder.
11. Compute the moment of inertia of a cylinder shaped object based around the central axis
12. Compute the moment of inertia of a  cylinder shaped object around the end of the cylinder
13. Compute the moment of inertia of a  cylinder shaped object perpendicular to the central axis.
14. Look up the mean density of common substances (useful in calculating the mass/weight and the moments of inertia)Partially filled Horizontal Cylinder.

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.

# Cylinder

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.