Height of Oblique Cylinder given Surface to Volume Ratio Calculator

Formula Used:

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

Lateral Surface Area of Oblique Cylinder (LSA):

m²

Radius of Oblique Cylinder (r):

Surface to Volume Ratio of Oblique Cylinder (RA/V):

1/m

Height of Oblique Cylinder (h):

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1. What is the Height of Oblique Cylinder given Surface to Volume Ratio?

The height of an oblique cylinder given surface to volume ratio is calculated using a specific formula that relates the lateral surface area, radius, and surface to volume ratio to determine the vertical height of the cylinder.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( h \) — Height of Oblique Cylinder (m)
\( LSA \) — Lateral Surface Area of Oblique Cylinder (m²)
\( r \) — Radius of Oblique Cylinder (m)
\( \frac{RA}{V} \) — Surface to Volume Ratio of Oblique Cylinder (1/m)
\( \pi \) — Archimedes' constant (approximately 3.1416)

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

3. Importance of Height Calculation

Details: Calculating the height of an oblique cylinder is important in various engineering and architectural applications where precise measurements are required for structural integrity and design specifications.

4. Using the Calculator

Tips: Enter lateral surface area in square meters, radius in meters, and surface to volume ratio in 1/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 axis is not at right angles to the base.

Q2: How does this differ from a right cylinder height calculation?
A: While the basic principles are similar, oblique cylinders require consideration of the lateral surface area and surface to volume ratio in a different manner due to their slanted nature.

Q3: What are typical units for these measurements?
A: Lateral surface area is measured in square meters (m²), radius in meters (m), surface to volume ratio in 1/meters (1/m), and height in meters (m).

Q4: Are there limitations to this formula?
A: This formula assumes the cylinder maintains a constant cross-sectional area and that the surface to volume ratio is accurately measured for the specific oblique cylinder.

Q5: Can this calculator be used for other types of cylinders?
A: This specific formula is designed for oblique cylinders. Right cylinders may use simpler formulas for height calculation.