1. What is the Diameter of Hemisphere given Surface to Volume Ratio?

The diameter of a hemisphere can be calculated from its surface to volume ratio using the formula D = 9/(RA/V), where D is the diameter and RA/V is the surface to volume ratio of the hemisphere.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( D \) — Diameter of Hemisphere (m)
• \( RA/V \) — Surface to Volume Ratio of Hemisphere (1/m)

Explanation: This formula directly relates the diameter of a hemisphere to its surface to volume ratio, with 9 being the constant derived from the geometric properties of a hemisphere.

3. Importance of Diameter Calculation

Details: Calculating the diameter from surface to volume ratio is important in various engineering and design applications where hemispherical shapes are used, such as in domes, tanks, and architectural elements.

4. Using the Calculator

Tips: Enter the surface to volume ratio in 1/m. The value must be valid (greater than 0).

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for surface to volume ratio of hemispheres?
A: The surface to volume ratio varies with size, but typically ranges from 0.5 to 5.0 1/m for most practical applications.

Q2: How accurate is this calculation?
A: The calculation is mathematically exact based on the geometric properties of a perfect hemisphere.

Q3: Can this formula be used for spheres?
A: No, this specific formula is derived for hemispheres only. Spheres have different surface area and volume relationships.

Q4: What units should I use for the calculation?
A: Consistent units must be used throughout. If surface to volume ratio is in 1/m, the diameter result will be in meters.

Q5: Are there limitations to this formula?
A: This formula assumes a perfect geometric hemisphere and may not account for surface irregularities or material properties.