Total Surface Area of Oblique Cylinder given Lateral Edge Calculator

Total Surface Area of Oblique Cylinder Formula:

\[ TSA = 2 \times \pi \times r \times (r + le) \]

Total Surface Area of Oblique Cylinder:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Total Surface Area of Oblique Cylinder?

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

2. How Does the Calculator Work?

The calculator uses the formula:

\[ TSA = 2 \times \pi \times r \times (r + le) \]

Where:

\( TSA \) — Total Surface Area of Oblique Cylinder (m²)
\( r \) — Radius of Oblique Cylinder (m)
\( le \) — Lateral Edge of Oblique Cylinder (m)
\( \pi \) — Archimedes' constant (approximately 3.14159)

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

3. Importance of Total Surface Area Calculation

Details: Calculating the total surface area is important for various engineering and construction applications, material estimation, and understanding the geometric properties of oblique cylinders.

4. Using the Calculator

Tips: Enter the radius and lateral edge in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is an oblique cylinder?
A: An oblique cylinder is a cylinder where the sides are not perpendicular to the bases. The lateral edges are slanted rather than vertical.

Q2: How is this different from a right cylinder?
A: In a right cylinder, the lateral edges are perpendicular to the bases, while in an oblique cylinder they are slanted. The surface area calculation accounts for this difference.

Q3: What units should I use?
A: The calculator uses meters for both radius and lateral edge, and returns surface area in square meters. You can convert from other units as needed.

Q4: Can this formula be used for any oblique cylinder?
A: Yes, this formula applies to all oblique cylinders with circular bases, regardless of the degree of obliqueness.

Q5: What if I have the height instead of lateral edge?
A: For an oblique cylinder, the lateral edge is different from the height. This specific calculator requires the lateral edge measurement.