Cylinder Mass Calculator

Radius (\( r \)):

Height (\( h \)):

Density (\( \rho \)):

Mass (\( m \)) in kilograms (kg):

Mass (\( m \)) in grams (g):

Mass (\( m \)) in pounds (lb):

1. What is the Cylinder Mass Calculator?

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

Purpose: It is used in physics and engineering to determine the mass of a cylinder, applicable in material science, manufacturing, and structural design.

2. How Does the Calculator Work?

The calculator uses the relationship:

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

Where:

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

Explanation: Enter the radius, height, and density of the cylinder in the chosen units, and the calculator computes the mass. Results are displayed with 5 decimal places. For default inputs (\( r = 0.05 \, \text{m} \), \( h = 0.1 \, \text{m} \), \( \rho = 1000 \, \text{kg/m}^3 \)), the calculated mass \( m \) is approximately 0.78540 kg.

3. Importance of Mass Calculation

Details: Calculating the mass of a cylinder is essential for understanding its weight, which affects structural design, transportation, and material selection in engineering applications.

4. Using the Calculator

Tips: Enter positive values for radius, height, and density with up to 4 decimal places (step of 0.0001), then click "Calculate." Results show the mass \( m \) in kilograms, grams, and pounds, always with 5 decimal places.

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