1. What is Long Height of Cut Cylinder?

Definition: Long Height of Cut Cylinder is the longest vertical distance from the bottom circular face to the top elliptical face of the Cut Cylinder.

Purpose: This calculator helps determine the long height when the volume, radius, and short height of the cut cylinder are known.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( h_{Long} \) — Long height of cut cylinder (meters)
• \( V \) — Volume of cut cylinder (cubic meters)
• \( r \) — Radius of cut cylinder (meters)
• \( h_{Short} \) — Short height of cut cylinder (meters)

Explanation: The formula calculates the long height by first determining the total height of an equivalent full cylinder and then subtracting the short height.

3. Importance of Calculation

Details: Accurate calculation of the long height is essential for engineering applications, material estimation, and structural design involving cut cylinders.

4. Using the Calculator

Tips: Enter the volume in m³, radius in meters, and short height in meters. All values must be positive (except short height which can be zero). Results include ±5% tolerance.

5. Frequently Asked Questions (FAQ)

Q1: What is a cut cylinder?
A: A cut cylinder is a cylinder that has been sliced by a plane at an angle, resulting in an elliptical top surface.

Q2: Why is there a ±5% tolerance?
A: The tolerance accounts for measurement errors and practical variations in real-world applications.

Q3: Can the short height be zero?
A: Yes, if the cutting plane just touches the cylinder at one point, the short height would be zero.

Q4: What units does this calculator use?
A: The calculator uses meters for length and cubic meters for volume by default.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise, but real-world measurements may have some error, hence the ±5% tolerance.

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