1. What is Sphere Density?

Density of a sphere is the mass per unit volume of a spherical object. It's a fundamental property that describes how much matter is packed into a given space within the sphere.

2. How Does the Calculator Work?

The calculator uses the sphere density formula:

Where:

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

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

3. Importance of Density Calculation

Details: Density is crucial for identifying materials, understanding buoyancy, and solving physics and engineering problems involving spherical objects.

4. Using the Calculator

Tips: Enter mass in grams and radius in centimeters. Both values must be positive numbers. The result will be in grams per cubic centimeter (g/cm³).

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: The calculator uses grams for mass and centimeters for radius, giving density in g/cm³. For other units, convert your values first.

Q2: Can I use diameter instead of radius?
A: Yes, but you must convert diameter to radius first (radius = diameter/2).

Q3: What's the density range for common materials?
A: Most materials range from 0.001 g/cm³ (aerogels) to 22.6 g/cm³ (osmium). Water is 1 g/cm³ at 4°C.

Q4: Why is the formula different for spheres?
A: The volume calculation is specific to spherical geometry, using the unique properties of spheres.

Q5: How accurate is this calculation?
A: It's mathematically exact for perfect spheres. Real-world accuracy depends on measurement precision and how spherical the object is.