1. What is the Diameter of Hemisphere given Curved Surface Area Formula?

The formula calculates the diameter of a hemisphere when its curved surface area is known. It's derived from the relationship between the curved surface area and the radius of a hemisphere.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( D \) — Diameter of Hemisphere (m)
• \( CSA \) — Curved Surface Area of Hemisphere (m²)
• \( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: The formula first calculates the radius from the curved surface area, then doubles it to get the diameter.

3. Importance of Hemisphere Diameter Calculation

Details: Calculating the diameter from curved surface area is important in geometry, engineering, and architectural design where hemispherical structures are involved.

4. Using the Calculator

Tips: Enter the curved surface area in square meters. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between curved surface area and total surface area of a hemisphere?
A: Curved surface area includes only the curved part, while total surface area includes both the curved surface and the base circular area.

Q2: Can this formula be used for full spheres?
A: No, this specific formula is designed for hemispheres. For full spheres, a different formula would be used.

Q3: What are the units for the result?
A: The diameter result is in meters, matching the input units of curved surface area (m²).

Q4: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values, using the exact value of π available in the programming language.

Q5: Can I use different units for input?
A: The calculator expects square meters for input. If using different units, convert them to square meters first for accurate results.