__Cylinder Density Calculator:__

__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 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 * r^{2}_{(m)} * L_{(m)}

CD_{(kg/m3)} = cylinder density in kilograms per cubic metres, kg/m^{3}.

m_{(kg)} = mass in kilograms, kg.

r_{(m)} = radius in metres, m.

L_{(m)} = length in metres, m.

__Cylinder Density Calculation:__

__Cylinder Density Calculation:__

- 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 * r^{2}_{(m)} * L_{(m)}

CD_{(kg/m3)} = 15 / 3.14 * 0.05^{2} * 2

CD_{(kg/m3)} = 15 / 0.0157

CD_{(kg/m3)} = 955.04kg/m^{3}.

- 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/m^{3}, r_{(m)} = 0.1m, L_{(m)} = 1m.

Cylinder density, CD_{(kg/m3)} = m_{(kg)} / 3.14 * r^{2}_{(m)} * L_{(m)}

m_{(kg)} = CD_{(kg/m3)} * 3.14 * r^{2}_{(m)} * L_{(m)}

m_{(kg)} = 1200 * 3.14 * 0.1^{2} * 1

m_{(kg)} = 37.68kg.