1. What is the Outer Radius of Hollow Sphere Formula?

The formula calculates the outer radius of a hollow sphere when given its volume and inner radius. It's derived from the volume formula of a hollow sphere by solving for the outer radius.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r_{Outer} \) — Outer radius of the hollow sphere (m)
• \( V \) — Volume of the hollow sphere (m³)
• \( r_{Inner} \) — Inner radius of the hollow sphere (m)
• \( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: The formula calculates the outer radius by considering the total volume and the volume occupied by the inner hollow space.

3. Importance of Outer Radius Calculation

Details: Calculating the outer radius is essential for designing hollow spherical structures, determining material requirements, and understanding the geometric properties of hollow spheres in various engineering and scientific applications.

4. Using the Calculator

Tips: Enter the volume in cubic meters and the inner radius in meters. Both values must be positive numbers (inner radius can be zero for a solid sphere).

5. Frequently Asked Questions (FAQ)

Q1: What is a hollow sphere?
A: A hollow sphere is a three-dimensional object with a spherical outer surface and a spherical inner cavity, creating a uniform thickness throughout.

Q2: Can the inner radius be zero?
A: Yes, when the inner radius is zero, the hollow sphere becomes a solid sphere, and the formula simplifies to the standard sphere volume formula.

Q3: What are typical applications of hollow spheres?
A: Hollow spheres are used in various applications including pressure vessels, architectural designs, sports equipment, and scientific instruments.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact, assuming perfect spherical geometry and accurate input values.

Q5: What units should I use?
A: The calculator uses meters for length and cubic meters for volume. Ensure consistent units for accurate results.