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Surface Area of Hollow Sphere given Thickness and Inner Radius Calculator

Surface Area of Hollow Sphere Formula:

\[ SA = 4\pi((r_{Inner} + t)^2 + r_{Inner}^2) \]

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1. What is Surface Area of Hollow Sphere?

The Surface Area of a Hollow Sphere is the total quantity of two dimensional space enclosed by the spherical surface. It represents the sum of the outer and inner surface areas of the hollow sphere.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ SA = 4\pi((r_{Inner} + t)^2 + r_{Inner}^2) \]

Where:

Explanation: The formula calculates the total surface area by summing the areas of both the inner and outer surfaces of the hollow sphere.

3. Importance of Surface Area Calculation

Details: Calculating the surface area of hollow spheres is crucial in various engineering applications, material science, heat transfer calculations, and architectural designs where spherical structures are used.

4. Using the Calculator

Tips: Enter the inner radius and thickness in meters. Both values must be positive numbers. The calculator will compute the total surface area of the hollow 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 concentric spherical inner cavity.

Q2: How is this different from solid sphere surface area?
A: For a hollow sphere, we calculate both inner and outer surface areas, while a solid sphere only has an outer surface area.

Q3: What are typical applications of hollow spheres?
A: Hollow spheres are used in pressure vessels, storage tanks, architectural domes, and various mechanical components.

Q4: Does thickness affect the surface area significantly?
A: Yes, as thickness increases, the outer surface area increases while the inner surface area remains constant, leading to greater total surface area.

Q5: Can this formula be used for very thin-walled spheres?
A: Yes, the formula is valid for any thickness value greater than zero, including very thin-walled spheres.

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