1. What is Total Surface Area of Cylinder?

The Total Surface Area (TSA) of a cylinder is the sum of the lateral surface area and the areas of the two circular bases. It represents the total area covered by all surfaces of the cylinder.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( LSA \) — Lateral Surface Area of the cylinder
• \( r \) — Radius of the circular base
• \( \pi \) — Mathematical constant (approximately 3.14159)

Explanation: The formula adds the lateral surface area to twice the area of one circular base to get the total surface area.

3. Importance of TSA Calculation

Details: Calculating the total surface area is essential for various applications including material estimation for manufacturing, painting costs, thermal analysis, and packaging design.

4. Using the Calculator

Tips: Enter the lateral surface area and radius values. Both values must be positive numbers. The calculator will compute the total surface area using the standard formula.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between lateral and total surface area?
A: Lateral surface area includes only the curved surface, while total surface area includes both the curved surface and the two circular bases.

Q2: Can I use this calculator for any cylinder?
A: Yes, this calculator works for right circular cylinders where the lateral surface area and radius are known.

Q3: What units should I use?
A: Use consistent units for both measurements (e.g., cm for radius, cm² for area). The result will be in square units of your input.

Q4: How accurate is the calculation?
A: The calculation uses the mathematical constant π with high precision, providing accurate results based on your input values.

Q5: What if I only have height instead of lateral surface area?
A: You would need to calculate lateral surface area first using LSA = 2πrh, then use this calculator with that value and the radius.