1. What is Density of a Cylinder?

Density of a cylinder is a measure of mass per unit volume, calculated by dividing the mass of the cylinder by its volume. For a cylinder, volume is calculated using πr²h where r is radius and h is height.

2. How Does the Calculator Work?

The calculator uses the density formula:

Where:

• \( \rho \) — Density (kg/m³)
• \( m \) — Mass of the cylinder (kg)
• \( r \) — Radius of the cylinder (m)
• \( h \) — Height of the cylinder (m)
• \( \pi \) — Pi (~3.14159)

Explanation: The formula calculates the volume of the cylinder first (πr²h), then divides the mass by this volume to get density.

3. Importance of Density Calculation

Details: Density is a fundamental physical property used in material science, engineering, and physics. It helps identify materials, determine buoyancy, and calculate other important physical properties.

4. Using the Calculator

Tips: Enter mass in kilograms, radius and height in meters. All values must be positive numbers. For best accuracy, use precise measurements.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the inputs?
A: The calculator expects mass in kilograms (kg) and dimensions in meters (m) for density in kg/m³. You can convert other units before entering values.

Q2: How accurate is this calculation?
A: The calculation is mathematically precise. Accuracy depends on the precision of your input measurements.

Q3: Can I use diameter instead of radius?
A: Yes, but you must convert diameter to radius first (radius = diameter/2).

Q4: What's the density range for common materials?
A: Aluminum ~2700 kg/m³, Steel ~7850 kg/m³, Water 1000 kg/m³, Wood 300-900 kg/m³ typically.

Q5: Does temperature affect the density?
A: Yes, especially for gases and liquids. This calculator assumes standard conditions (20°C for solids).