Cylinder Density Calculator, Formula, Cylinder 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).

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.

2. 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.

Calculating density and volume of a cylinder