Total Surface Area Of Elliptic Cylinder Calculator

Formula Used:

\[ TSA = \pi \times \left( (b + a) \times h + 2 \times b \times a \right) \]

Total Surface Area (TSA):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Total Surface Area of Elliptic Cylinder?

The Total Surface Area of an Elliptic Cylinder is the total quantity of plane enclosed on the entire surface of the Elliptic Cylinder. It includes both the lateral surface area and the areas of the two elliptical bases.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ TSA = \pi \times \left( (b + a) \times h + 2 \times b \times a \right) \]

Where:

\( TSA \) — Total Surface Area (m²)
\( b \) — Semi Minor Axis of Elliptic Cylinder (m)
\( a \) — Semi Major Axis of Elliptic Cylinder (m)
\( h \) — Height of Elliptic Cylinder (m)
\( \pi \) — Archimedes' constant (≈3.14159)

Explanation: The formula calculates the total surface area by summing the lateral surface area and the areas of the two elliptical bases.

3. Importance of TSA Calculation

Details: Calculating the total surface area is important in various engineering and architectural applications, including material estimation, heat transfer calculations, and structural design.

4. Using the Calculator

Tips: Enter semi minor axis, semi major axis, and height in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between semi minor and semi major axis?
A: The semi major axis is the longest radius of the ellipse, while the semi minor axis is the shortest radius perpendicular to the major axis.

Q2: Can this calculator handle different units?
A: The calculator uses meters as the default unit. For other units, convert your measurements to meters before calculation.

Q3: What is the practical application of this calculation?
A: This calculation is used in various fields including engineering, architecture, and manufacturing where elliptic cylindrical shapes are involved.

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

Q5: What if my elliptic cylinder has different dimensions?
A: Ensure you measure the semi minor axis, semi major axis, and height correctly. The formula works for all elliptic cylinders regardless of size.