1. What is the Total Surface Area of Torus?

The Total Surface Area of a Torus is the complete area of the outer surface of the torus shape. A torus is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( TSA \) — Total Surface Area of Torus (m²)
• \( r \) — Radius of Torus (m)
• \( V \) — Volume of Torus (m³)
• \( \pi \) — Mathematical constant pi (approximately 3.14159)

Explanation: This formula calculates the total surface area of a torus given its radius and volume, using the mathematical constant pi and square root function.

3. Importance of Torus Surface Area Calculation

Details: Calculating the surface area of a torus is important in various engineering and mathematical applications, including structural design, fluid dynamics, and geometric modeling.

4. Using the Calculator

Tips: Enter the radius of the torus in meters and the volume in cubic meters. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

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

Q2: What are the units for the inputs and outputs?
A: The radius should be in meters (m), volume in cubic meters (m³), and the resulting surface area will be in square meters (m²).

Q3: Can this formula be used for any torus?
A: Yes, this formula applies to all tori as long as the radius and volume are known and valid.

Q4: What if I get an error or unexpected result?
A: Make sure both input values are positive numbers greater than zero. The volume must be mathematically possible for the given radius.

Q5: How accurate is this calculation?
A: The calculation uses the mathematical constant pi with high precision, providing accurate results based on the input values.