1. What is Sphere Density?

Density is a measure of mass per unit volume. For a sphere, it's calculated by dividing the mass by the volume of the sphere. This calculator helps determine the density of spherical objects when you know their mass and diameter.

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)
• \( d \) — Diameter of the sphere (cm)
• \( \pi \) — Pi (~3.14159)

Explanation: The formula first calculates the volume of the sphere using the diameter, 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 material science, engineering, and quality control. It helps identify materials and assess purity or composition.

4. Using the Calculator

Tips: Enter mass in grams and diameter in centimeters. Both values must be positive numbers. For best accuracy, measure diameter carefully at the widest point of the sphere.

5. Frequently Asked Questions (FAQ)

Q1: Why use diameter instead of radius?
A: Diameter is often easier to measure directly on spherical objects, though you could convert radius to diameter by multiplying by 2.

Q2: What units should I use?
A: This calculator uses grams for mass and centimeters for length, resulting in g/cm³ density units. You can convert from other units as needed.

Q3: Can I use this for non-spherical objects?
A: No, this calculator is specifically for spheres. Different volume formulas are needed for other shapes.

Q4: How accurate is this calculation?
A: Accuracy depends on your mass and diameter measurements. Small measurement errors can significantly affect density calculations.

Q5: What's a typical density range for common materials?
A: Metals range from ~2.7 g/cm³ (aluminum) to ~19.3 g/cm³ (gold). Water is 1 g/cm³, plastics are typically 0.9-1.4 g/cm³.