1. What is Thickness of Hollow Sphere?

The thickness of a hollow sphere is the shortest distance between the adjacent and parallel pair of faces of the inner and outer circumferential surfaces of the hollow sphere. It represents the wall thickness of the spherical shell.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( t \) — Thickness of Hollow Sphere (m)
• \( r_{Outer} \) — Outer Radius of Hollow Sphere (m)
• \( SA \) — Surface Area of Hollow Sphere (m²)
• \( \pi \) — Archimedes' constant (≈ 3.14159)

Explanation: The formula calculates the thickness by determining the inner radius from the given surface area and outer radius, then subtracting it from the outer radius.

3. Importance of Thickness Calculation

Details: Calculating the thickness of a hollow sphere is crucial for structural engineering, material science, and manufacturing applications where the wall thickness affects the sphere's strength, weight, and thermal properties.

4. Using the Calculator

Tips: Enter the outer radius in meters and surface area in square meters. Both values must be positive numbers. The surface area must be sufficient to accommodate the given outer radius.

5. Frequently Asked Questions (FAQ)

Q1: What if I get a negative value under the square root?
A: This indicates that the surface area is too small for the given outer radius. Please check your input values.

Q2: Can this calculator handle different units?
A: The calculator uses meters for length units. Convert your measurements to meters before calculation for accurate results.

Q3: What is the range of valid inputs?
A: Outer radius and surface area must be positive numbers. The surface area must be at least \(4\pi r_{Outer}^2\).

Q4: How accurate is the calculation?
A: The calculation uses double-precision floating-point arithmetic and provides results accurate to 6 decimal places.

Q5: Can this formula be used for other shapes?
A: No, this specific formula is designed only for calculating the thickness of hollow spheres.