`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.

Cylinder Calculators

1. Compute the Lateral Surface Area (sides) of a 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  based on the volume and mean density of the cylinder.  
7. Compute the Density of a cylinder.
8. Time to Drain a Cylinder based on Torricelli's Law of gravity flow of water.
9. Compute the Lateral Surface Area of a Slanted Cylinder.
10. Compute the Volume of a Slanted Cylinder.
11. Compute the Weight or Mass of a Slanted Cylinder.
12. Compute the moment of inertia of a cylinder shaped object based around the central axis
13. Compute the moment of inertia of a  cylinder shaped object around the end of the cylinder
14. Compute the moment of inertia of a  cylinder shaped object perpendicular to the central axis.
15. Look up the mean density of common substances (useful in calculating the mass/weight and the moments of inertia)