1. What is the Radius of Sphere given Surface to Volume Ratio?

The radius of a sphere can be calculated from its surface to volume ratio using the inverse relationship between these two properties. This calculation is useful in various geometric and physical applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( r \) — Radius of Sphere (m)
• \( RA/V \) — Surface to Volume Ratio of Sphere (1/m)

Explanation: The formula demonstrates the inverse relationship between the radius and the surface to volume ratio of a sphere.

3. Importance of Radius Calculation

Details: Calculating the radius from surface to volume ratio is important in materials science, physics, and engineering applications where sphere geometry is involved.

4. Using the Calculator

Tips: Enter the surface to volume ratio in 1/m. The value must be greater than zero for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why is there an inverse relationship between radius and surface to volume ratio?
A: As a sphere's radius increases, its volume increases faster than its surface area, resulting in a lower surface to volume ratio.

Q2: What are typical surface to volume ratio values for spheres?
A: The surface to volume ratio decreases as sphere size increases. Smaller spheres have higher surface to volume ratios.

Q3: Can this formula be used for other shapes?
A: No, this specific formula applies only to perfect spheres. Other shapes have different relationships between dimensions and surface to volume ratios.

Q4: What units should be used for the calculation?
A: Consistent units must be used. If radius is in meters, surface to volume ratio should be in 1/meters.

Q5: Are there any limitations to this calculation?
A: This calculation assumes a perfect sphere geometry and may not be accurate for irregular shapes or non-spherical objects.