Cylinder Density

The Density of a Cylinder calculator computes the mean density (ρ) of a cylinder based on the mass (m), height (h) and radius (r). NOTE: NEW DEFAULT INPUT UNITS (millimeters and grams)

INSTRUCTIONS: Choose units and enter the following:

• (r) Radius of Cylinder
• (h) Height of Cylinder
• (m) Mass of Cylinder 

Density of a Cylinder (ρ): The calculator returns the mean density (ρ) of the cylinder in kilograms per cubic meter.  However, this can be automatically converted to other volumetric density units (e.g. ounce per cubic inch) via the pull-down menu.  The calculator also returns the volume in liters, which can also be automatically converted to compatible units via the pull-down menu.

The Math / Science

Density is the ratio of mass to volume.  The formula for density is:

• ρ= m/v

The formula for the Mean Density of a cylinder is: 

• ρ= m/(π•r²•h)  

where:

• ρ is the density of the cylinder
• m is the mass of the cylinder
• r is the radius of the cylinder 
• h is the height of the cylinder

In this case, the radius (r) and height (h) are used to compute the volume of the cylinder (V = π•r²•h).  

NOTE: Identify possible substances based on the density by CLICKING HERE.

Cylinder Calculators

1. Cylinder Side Area: Computes the surface area of the sides of a cylinder based on height and radius.
2. Cylinder Surface Area: Computes the total surface area of a cylinder including sides, top and bottom.
3. Cylinder Volume: Computes the volume of a cylinder based on cylinder height and radius.
4. Cylinder Volume from Height and Circumference: Computes the volume of a cylinder based on the height and circumference.  It also returns the diameter of the cylinder. 
5. Cylinder Height: Computes the height of a cylinder based on the volume and radius. 
6. Cylinder Radius: Computes the radius and diameter of a cylinder based on the volume and height.
7. Cylinder Weight: Computes the weight, mass and volume of a cylinder based on the height, radius and density.
8. Cylinder Mass  Computes the mass of a cylinder based on the radius and height and mean density of the cylinder.  
9. Volume in Horizontal Cylinder: Computes partial volume of a horizontal circular cylinder based on the radius and length of the cylinder and the vertical height of the contents in the cylinder (see diagram).
10. Cylinder Density: Computes the mean density of a cylinder based on the mass and computed volume from the radius and height.
11. Slanted Cylinder Surface Area: Computes the surface area of a slanted cylinder based on the radius and side length (L).
12. Slanted Cylinder Area from Angle: Computes the lateral area (surface area of the sides) of a slanted cylinder based on its radius, height and slant angle (θ).
13. Slanted Cylinder Volume: Computes the volume of a slanted cylinder based on the radius of the base, side length and slant angle.
14. Slanted Cylinder Weight: Computes the weight or mass of a slanted cylinder based on the radius, side length, slant angle and density.
15. Cylinder MoI about Central Axis: Computes the moment of inertia of a cylinder about its central axis based on the mass and radius.
16. Cylinder MoI about the End: Computes the moment of inertia of a solid circular cylinder of uniform density about an axis along the diameter of the cylinder at one end.
17. Cylinder MoI Perpendicular to Axis: Computes the moment of inertia of a solid circular cylinder of uniform density about an axis perpendicular to the axis of the cylinder and through the center of mass.