1. What is the Sphere Density Formula?

The sphere density formula calculates the density of a spherical object by dividing its mass by its volume. The volume of a sphere is calculated using the formula (4/3)πr³.

2. How Does the Calculator Work?

The calculator uses the sphere density formula:

Where:

• \( D \) — Density (g/cm³)
• \( M \) — Mass of the sphere (g)
• \( r \) — Radius of the sphere (cm)
• \( \pi \) — Pi constant (~3.1416)

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

3. Importance of Density Calculation

Details: Density is a fundamental physical property that helps identify materials, determine purity, and understand buoyancy and material behavior.

4. Using the Calculator

Tips: Enter mass in grams and radius in centimeters. Both values must be positive numbers. For accurate results, measure mass precisely and ensure radius is the true spherical radius.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: The calculator uses grams for mass and centimeters for radius, resulting in g/cm³ density units. For kg/m³, multiply the result by 1000.

Q2: Does this work for non-perfect spheres?
A: The formula assumes a perfect sphere. For irregular objects, use water displacement to measure volume.

Q3: What's the density range for common materials?
A: Water is 1 g/cm³, metals range from 2.7 (aluminum) to 19.3 (gold), and most plastics are 0.9-1.4 g/cm³.

Q4: How does temperature affect density?
A: Density typically decreases with temperature as materials expand. For precise work, measure at controlled temperatures.

Q5: Can I use diameter instead of radius?
A: Yes, but convert diameter to radius first (radius = diameter/2) before entering the value.