Density of a Sphere Calculator

Density Formula:

\[ \rho = \frac{m}{\frac{4}{3} \times \pi \times r^3} \]

Density (kg/m³):

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1. What is a Density of a Sphere Calculator?

Definition: This calculator computes the density of a spherical object based on its mass and radius.

Purpose: It helps scientists, engineers, and students determine the density of spherical objects in various fields like physics, materials science, and engineering.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \rho = \frac{m}{\frac{4}{3} \times \pi \times r^3} \]

Where:

\( \rho \) — Density (kg/m³)
\( m \) — Mass of the sphere (kg)
\( r \) — Radius of the sphere (m)

Explanation: The mass is divided by the sphere's volume (calculated using \( \frac{4}{3}\pi r^3 \)) to determine density.

3. Importance of Density Calculation

Details: Density is a fundamental property of materials that helps identify substances, determine purity, and understand material characteristics.

4. Using the Calculator

Tips: Enter the mass in kilograms and radius in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the inputs?
A: Mass should be in kilograms (kg) and radius in meters (m) for the result to be in kg/m³.

Q2: Can I use this for non-spherical objects?
A: No, this calculator is specifically for perfect spheres. Different formulas are needed for other shapes.

Q3: What's the typical density range for common materials?
A: Metals range from 2,700 kg/m³ (aluminum) to 19,300 kg/m³ (gold). Water is 1,000 kg/m³ at 4°C.

Q4: How precise should my measurements be?
A: For accurate results, measure mass and radius as precisely as possible, especially for small objects.

Q5: Does this account for hollow spheres?
A: No, this calculates the average density assuming a solid sphere. For hollow spheres, you'd need to know the inner radius.