1. What is Surface to Volume Ratio of Torus?

The Surface to Volume Ratio of a Torus is the numerical ratio of the total surface area of the torus to its volume. It's an important geometric property that describes how much surface area a torus has relative to its volume.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( b \) — Breadth of Torus (m)
• \( r \) — Radius of Torus (m)

Explanation: The formula calculates the ratio of surface area to volume for a torus given its breadth and radius.

3. Importance of Surface to Volume Ratio

Details: The surface to volume ratio is crucial in various engineering and physics applications, including heat transfer, chemical reactions, and material science, where the relationship between surface area and volume affects performance and efficiency.

4. Using the Calculator

Tips: Enter the breadth and radius of the torus in meters. Both values must be positive, and the breadth divided by 2 must be greater than the radius for a valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a torus?
A: A torus is a doughnut-shaped surface generated by revolving a circle in three-dimensional space about an axis coplanar with the circle.

Q2: Why is the surface to volume ratio important?
A: This ratio is important in many physical phenomena where surface interactions dominate, such as in heat dissipation, chemical reactivity, and biological processes.

Q3: What are typical values for surface to volume ratio?
A: The ratio varies significantly based on the dimensions of the torus. Smaller tori generally have higher surface to volume ratios.

Q4: Can this formula be used for any torus?
A: This specific formula applies to tori where the surface to volume ratio is calculated using the breadth and radius parameters as described.

Q5: What units does the calculator use?
A: The calculator uses meters for input and returns the ratio in per meter (m⁻¹) units.