Total Surface Area of Oblique Cylinder given Height Calculator

Total Surface Area of Oblique Cylinder Formula:

\[ TSA = 2 \times \pi \times r \times \left(r + \frac{h}{\sin(\angle Slope)}\right) \]

Radius of Oblique Cylinder:

Height of Oblique Cylinder:

Angle of Slope of Oblique Cylinder:

degrees

Total Surface Area of Oblique Cylinder:

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1. What is Total Surface Area of Oblique Cylinder?

The Total Surface Area (TSA) of an Oblique Cylinder is the total area of all its surfaces, including the two circular bases and the lateral surface. Unlike a right cylinder, an oblique cylinder has its sides slanted at an angle.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ TSA = 2 \times \pi \times r \times \left(r + \frac{h}{\sin(\angle Slope)}\right) \]

Where:

\( r \) — Radius of Oblique Cylinder (m)
\( h \) — Height of Oblique Cylinder (m)
\( \angle Slope \) — Angle of Slope of Oblique Cylinder (degrees)
\( \pi \) — Mathematical constant pi (approximately 3.14159)

Explanation: The formula accounts for the slanted nature of the cylinder by incorporating the sine of the slope angle to calculate the effective lateral surface area.

3. Importance of TSA Calculation

Details: Calculating the total surface area is important for various applications including material estimation for construction, manufacturing, and engineering projects involving oblique cylindrical structures.

4. Using the Calculator

Tips: Enter the radius and height in meters, and the angle of slope in degrees (between 0 and 90). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How is an oblique cylinder different from a right cylinder?
A: An oblique cylinder has its sides slanted at an angle, while a right cylinder has its sides perpendicular to the base.

Q2: Why is the sine function used in the formula?
A: The sine function accounts for the slanted nature of the cylinder, adjusting the lateral surface area calculation based on the angle of slope.

Q3: What units should I use for the inputs?
A: The calculator expects radius and height in meters, and angle in degrees. The result will be in square meters.

Q4: Can I use this calculator for very small angles?
A: Yes, but note that as the angle approaches 0 degrees, the surface area becomes very large. The calculator requires angles between 0 and 90 degrees.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the formula. The accuracy of your result depends on the accuracy of your input values.