`rho = m/(pi*r^2 *h)`

Enter a value for all fields

The Density of a Cylinder calculator computes the mean density (ρ) of a cylinder based on the mass (m), height (h) and radius (r).

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.

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Cylinder Calculators

1. Lateral Surface Area (sides) of a Cylinder based on height and radius.
2. Total Surface Area of a Cylinder including the sides, top and bottom.
3. Volume of a Cylinder based on cylinder height and radius
4. Cylinder Volume from Height and Circumference
5. Height of a Cylinder based on the volume and radius. 
6. Radius of a Cylinder based on the volume and height.
7. Mass or Weight of a Cylinder  based on the volume and mean density of the cylinder.  
8. Density of a cylinder.
9. Lateral Surface Area of a Slanted Cylinder. 
10. Volume of a Slanted Cylinder.
11. Weight or Mass of a Slanted Cylinder. 
12. Moment of Inertia of a cylinder shaped object based around the central axis
13. Moment of Inertia of a  cylinder shaped object around the end of the cylinder 
14. Moment of Inertia of a  cylinder shaped object perpendicular to the central axis. 
15. Mean Density of Common substances (useful in calculating the mass/weight and the moments of inertia) 
16. Axial Stress on a Cylinder
17. Tangential Stress in a Cylinder
18. Tangential Stress outside a Cylinder