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Outer Radius of Hollow Hemisphere given Volume Calculator

Formula Used:

\[ r_{outer} = \left( \frac{3V}{2\pi} + r_{inner}^3 \right)^{1/3} \]

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1. What is the Outer Radius of Hollow Hemisphere?

The outer radius of a hollow hemisphere is the distance from the center to the outer curved surface of the hemisphere. It is a crucial measurement for determining the size and volume of hollow hemispherical objects.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ r_{outer} = \left( \frac{3V}{2\pi} + r_{inner}^3 \right)^{1/3} \]

Where:

Explanation: This formula calculates the outer radius based on the given volume and inner radius of a hollow hemisphere.

3. Importance of Outer Radius Calculation

Details: Calculating the outer radius is essential for designing hollow hemispherical structures, determining material requirements, and understanding the geometric properties of hollow hemispheres.

4. Using the Calculator

Tips: Enter the volume in cubic meters (m³) and the inner radius in meters (m). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a hollow hemisphere?
A: A hollow hemisphere is a three-dimensional shape that resembles a half-sphere with an empty interior space.

Q2: What are the units for measurement?
A: The calculator uses meters (m) for radius and cubic meters (m³) for volume. Ensure consistent units for accurate results.

Q3: Can the inner radius be zero?
A: No, the inner radius must be a positive value. A zero inner radius would indicate a solid hemisphere, not a hollow one.

Q4: What are practical applications of this calculation?
A: This calculation is useful in engineering, architecture, and manufacturing where hollow hemispherical components are used.

Q5: How accurate is the calculation?
A: The calculation is mathematically precise based on the input values. The accuracy depends on the precision of the input measurements.

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