Volume of Oblique Cylinder given Surface to Volume Ratio Calculator

Formula Used:

\[ V = \frac{LSA + (2 \pi r^2)}{RA/V} \]

Lateral Surface Area of Oblique Cylinder:

m²

Radius of Oblique Cylinder:

Surface to Volume Ratio of Oblique Cylinder:

1/m

Volume of Oblique Cylinder:

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1. What is the Volume of Oblique Cylinder?

The Volume of an Oblique Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Oblique Cylinder. 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:

\[ V = \frac{LSA + (2 \pi r^2)}{RA/V} \]

Where:

\( V \) — Volume of Oblique Cylinder (m³)
\( LSA \) — Lateral Surface Area of Oblique Cylinder (m²)
\( r \) — Radius of Oblique Cylinder (m)
\( RA/V \) — Surface to Volume Ratio of Oblique Cylinder (1/m)
\( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: This formula calculates the volume by considering the lateral surface area, base area, and the surface to volume ratio of the oblique cylinder.

3. Importance of Volume Calculation

Details: Calculating the volume of an oblique cylinder is important in various engineering and architectural applications, particularly in structures with slanted cylindrical components and fluid storage systems.

4. Using the Calculator

Tips: Enter lateral surface area in m², radius in meters, and surface to volume ratio in 1/m. All values must be positive numbers.

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 axis is not at right angles to the base.

Q2: How is an oblique cylinder different from a right cylinder?
A: In a right cylinder, the sides are perpendicular to the bases, while in an oblique cylinder, the sides are slanted at an angle.

Q3: Can this formula be used for right cylinders?
A: Yes, since a right cylinder is a special case of an oblique cylinder where the slant angle is 90 degrees, this formula applies to both.

Q4: What are typical applications of oblique cylinders?
A: Oblique cylinders are commonly found in architectural designs, inclined storage tanks, and various mechanical components.

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