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Height of Oblique Cylinder Formula:
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The Height of an Oblique Cylinder is the vertical distance from the bottom circular face to the top of the cylinder. Unlike a right cylinder, an oblique cylinder has its axis not perpendicular to the bases, making the height different from the lateral edge length.
The calculator uses the formula:
Where:
Explanation: The formula calculates the vertical height by multiplying the lateral edge length by the sine of the slope angle, which represents the vertical component of the lateral edge.
Details: Calculating the height of an oblique cylinder is essential for determining its volume, surface area, and for various engineering and architectural applications where precise measurements are required.
Tips: Enter the lateral edge length in meters and the angle of slope in degrees. Both values must be positive numbers (lateral edge > 0, angle between 0-90°).
Q1: What is the difference between height and lateral edge in an oblique cylinder?
A: The height is the vertical distance between bases, while the lateral edge is the slanted distance along the side of the cylinder.
Q2: Can the angle of slope be greater than 90 degrees?
A: No, for an oblique cylinder, the angle of slope is typically between 0 and 90 degrees. An angle of 90 degrees would make it a right cylinder.
Q3: How accurate is this calculation?
A: The calculation is mathematically precise when the inputs are accurate, as it's based on trigonometric principles.
Q4: What units should I use for the inputs?
A: The lateral edge should be in meters and the angle in degrees. The calculator will output height in meters.
Q5: Can this formula be used for other 3D shapes?
A: This specific formula applies only to oblique cylinders. Other shapes have different formulas for calculating height.