Total Surface Area Of Diagonally Halved Cylinder Given Space Diagonal Calculator

Formula Used:

\[ TSA = \pi \times r \times (h + r + \frac{d_{Space}}{2}) \]

Radius of Diagonally Halved Cylinder:

Height of Diagonally Halved Cylinder:

Space Diagonal of Diagonally Halved Cylinder:

Total Surface Area of Diagonally Halved Cylinder:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Total Surface Area of Diagonally Halved Cylinder?

Total Surface Area of Diagonally Halved Cylinder is the total quantity of plane enclosed on the entire surface of the Diagonally Halved Cylinder. It includes all surfaces - curved, flat, and diagonal.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ TSA = \pi \times r \times (h + r + \frac{d_{Space}}{2}) \]

Where:

\( TSA \) — Total Surface Area of Diagonally Halved Cylinder (m²)
\( r \) — Radius of Diagonally Halved Cylinder (m)
\( h \) — Height of Diagonally Halved Cylinder (m)
\( d_{Space} \) — Space Diagonal of Diagonally Halved Cylinder (m)
\( \pi \) — Archimedes' constant (≈3.141592653589793)

Explanation: This formula calculates the total surface area by considering the radius, height, and space diagonal of the diagonally halved cylinder.

3. Importance of TSA Calculation

Details: Calculating the total surface area is crucial for various engineering and architectural applications, including material estimation, structural analysis, and design optimization of diagonally halved cylindrical components.

4. Using the Calculator

Tips: Enter radius, height, and space diagonal in meters. All values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a diagonally halved cylinder?
A: A diagonally halved cylinder is a cylinder that has been cut diagonally across its height, creating two equal parts with elliptical cross-sections.

Q2: Why is the space diagonal important in this calculation?
A: The space diagonal represents the longest distance across the diagonally cut surface and is essential for accurately calculating the total surface area.

Q3: Can this formula be used for partially filled cylindrical tanks?
A: Yes, this formula is particularly useful for calculating surface areas in partially filled cylindrical tanks that are diagonally partitioned.

Q4: What are the units for the calculated surface area?
A: The surface area is calculated in square meters (m²), but can be converted to other area units as needed.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values. Accuracy depends on the precision of the measurements provided.