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. This calculator helps determine the density of spherical objects when you know their mass and radius.

2. How Does the Calculator Work?

The calculator uses the density formula for spheres:

Where:

• \( D \) — Density (g/cm³)
• \( M \) — Mass of the sphere (g)
• \( r \) — Radius of the sphere (cm)
• \( \pi \) — Pi, approximately 3.14159

Explanation: The formula first calculates the volume of the sphere using \( \frac{4}{3} \pi r^3 \), then divides the mass by this volume to get density.

3. Importance of Density Calculation

Details: Density is a fundamental property of materials used in physics, engineering, and materials science. It helps identify substances, determine purity, and calculate buoyancy.

4. Using the Calculator

Tips: Enter mass in grams and radius in centimeters. Both values must be positive numbers. For best accuracy, measure mass precisely and measure radius at the sphere's widest point.

5. Frequently Asked Questions (FAQ)

Q1: What if my object isn't a perfect sphere?
A: This calculator assumes a perfect sphere. For irregular objects, use water displacement methods to measure volume.

Q2: What are typical density values?
A: Density varies widely: aluminum (2.7 g/cm³), iron (7.87 g/cm³), gold (19.3 g/cm³), water (1 g/cm³ at 4°C).

Q3: Can I use different units?
A: Yes, but ensure consistent units (e.g., kg and meters will give kg/m³). This calculator uses g/cm³.

Q4: Why does density matter in real-world applications?
A: Density determines buoyancy (why ships float), material selection in engineering, and helps identify unknown materials.

Q5: How does temperature affect density?
A: Most materials expand when heated (increasing volume), thus decreasing density. Water is densest at 4°C.