# Cylinder Density Calculator, Formula, Cylinder Density Calculation

### Cylinder Density Calculator:

Enter the values of mass, m(kg), radius, r(m) and length, L(m) to determine the value of Cylinder density, CD(kg/m3).

 Enter Mass: kg Enter Radius: m Enter Length: m Result – Cylinder Density: kg/m3

### Cylinder Density Formula:

Cylinder density (CD) is a measure of mass per unit volume for a cylindrical object, typically expressed in kilograms per cubic metres. It indicates how much mass is contained in a given volume of the cylinder.

A denser cylinder has more material concentrated within the same space compared to a less dense one.

Mass of the cylinder – the total amount of matter it contains.

Radius of the cylinder – the distance from the centre to any point on the curved side.

Length of the cylinder – the distance from one flat end to the other.

A heavier cylinder (more mass) will have a higher density if its radius (r) and length (L) stay the same.

A cylinder with a smaller radius (r) or a shorter length (L) will have a smaller volume, even if its mass (m) stays the same. This leads to a higher density because the same amount of mass is packed into a smaller space.

Cylinder density, CD(kg/m3) in kilograms per cubic metres is calculated by dividing the mass, m(kg) in kilograms by the product of pi, square of radius, r(m) in metres and length, L(m) in metres.

Cylinder density, CD(kg/m3) = m(kg) / 3.14 * r2(m) * L(m)

CD(kg/m3) = cylinder density in kilograms per cubic metres, kg/m3.

m(kg) = mass in kilograms, kg.

r(m) = radius in metres, m.

L(m) = length in metres, m.

### Cylinder Density Calculation:

1. A cylindrical metal rod has a mass of 15 kg, a radius of 0.05 meters, and a length of 2 meters. What is the density of the cylinder?

Given: m(kg) = 15kg, r(m) = 0.05m, L(m) = 2m.

Cylinder density, CD(kg/m3) = m(kg) / 3.14 * r2(m) * L(m)

CD(kg/m3) = 15 / 3.14 * 0.052 * 2

CD(kg/m3) = 15 / 0.0157

CD(kg/m3) = 955.04kg/m3.

1. A cylinder has a density of 1200 kg/m³, a radius of 0.1 meters, and a length of 1 meter. What is the mass of the cylinder?

Given: CD(kg/m3) = 1200kg/m3, r(m) = 0.1m, L(m) = 1m.

Cylinder density, CD(kg/m3) = m(kg) / 3.14 * r2(m) * L(m)

m(kg) = CD(kg/m3) * 3.14 * r2(m) * L(m)

m(kg) = 1200 * 3.14 * 0.12 * 1

m(kg) = 37.68kg.