Cylinder Density Calculator

Radius (\( r \)):

Height (\( h \)):

Mass (\( m \)):

Density (\( \rho \)) in kg/m³:

Density (\( \rho \)) in g/cm³:

Density (\( \rho \)) in lb/ft³:

1. What is the Density Calculator?

Definition: This calculator computes the density (\( \rho \)) of a solid cylinder based on its mass (\( m \)), radius (\( r \)), and height (\( h \)).

Purpose: It is used in physics and engineering to determine the mass per unit volume of a cylinder, applicable in material science, manufacturing, and fluid dynamics studies.

2. How Does the Calculator Work?

The calculator uses the relationship:

\[ \rho = \frac{m}{\pi \cdot r^2 \cdot h} \]

Where:

\( \rho \) — Density of the cylinder (in various units)
\( m \) — Mass of the cylinder
\( r \) — Radius of the cylinder's base
\( h \) — Height of the cylinder

Explanation: Enter the radius, height, and mass of the cylinder in the chosen units, and the calculator computes the density. Results are displayed with 5 decimal places. For default inputs (\( r = 10 \, \text{mm} \), \( h = 20 \, \text{mm} \), \( m = 50 \, \text{g} \)), the calculated density \( \rho \) is approximately 0.03979 kg/m³.

3. Importance of Density

Details: Density is a fundamental property that indicates how much mass is contained in a given volume. It is crucial for material selection, buoyancy calculations, and understanding the physical properties of objects in engineering and science.

4. Using the Calculator

Tips: Enter positive values for radius, height, and mass with up to 4 decimal places (step of 0.0001), ensuring \( r \neq 0 \) and \( h \neq 0 \) to avoid division by zero, then click "Calculate." Results show the density \( \rho \) in kg/m³, g/cm³, and lb/ft³, always with 5 decimal places.

Favorite