1. What is Sphere Density?

Density is a measure of mass per unit volume. For a sphere, it's calculated by dividing the mass of the sphere by its volume. The density of a material helps identify its composition and properties.

2. How Does the Calculator Work?

The calculator uses the sphere density formula:

Where:

• \( \rho \) — Density (kg/m³)
• \( m \) — Mass of the sphere (kg)
• \( r \) — Radius of the sphere (m) [calculated as diameter/2]
• \( \pi \) — Pi constant (~3.14159)

Explanation: The formula calculates the volume of a sphere first, then divides the mass by this volume to get density.

3. Importance of Density Calculation

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

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: The calculator uses kg for mass and meters for diameter, resulting in kg/m³ density units. Convert your measurements if needed.

Q2: Can I use this for irregular shapes?
A: No, this calculator is specifically for perfect spheres. For irregular shapes, you'd need to measure volume differently.

Q3: What's a typical density range for common materials?
A: Aluminum ~2700 kg/m³, Steel ~7850 kg/m³, Water 1000 kg/m³, Air ~1.2 kg/m³ at sea level.

Q4: How does temperature affect density?
A: Density typically decreases with increasing temperature due to thermal expansion (except for water between 0-4°C).

Q5: Can I calculate mass if I know density and diameter?
A: Yes, you can rearrange the formula: \( m = \rho \times \frac{4}{3} \pi r^3 \).