Home Back

Height of Circular Hyperboloid Calculator

Height of Circular Hyperboloid Formula:

\[ h = 2 \times p \times \sqrt{\frac{rBase^2}{rSkirt^2} - 1} \]

m
m
m

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Height of Circular Hyperboloid?

The Height of Circular Hyperboloid is the vertical distance between the top and bottom circular faces of the Circular Hyperboloid. It is a crucial parameter in determining the three-dimensional geometry of this unique hyperbolic shape.

2. How Does the Calculator Work?

The calculator uses the Height of Circular Hyperboloid formula:

\[ h = 2 \times p \times \sqrt{\frac{rBase^2}{rSkirt^2} - 1} \]

Where:

Explanation: The formula calculates the height based on the shape parameter and the relationship between the base and skirt radii of the hyperboloid.

3. Importance of Height Calculation

Details: Accurate height calculation is essential for architectural design, structural engineering, and geometric modeling of hyperboloid shapes, which are commonly used in cooling towers, architectural structures, and various engineering applications.

4. Using the Calculator

Tips: Enter the shape parameter, base radius, and skirt radius in meters. All values must be positive, and the skirt radius must be smaller than the base radius for a valid hyperboloid shape.

5. Frequently Asked Questions (FAQ)

Q1: What is a Circular Hyperboloid?
A: A Circular Hyperboloid is a three-dimensional surface generated by rotating a hyperbola around one of its principal axes, resulting in a shape with circular cross-sections.

Q2: What does the Shape Parameter represent?
A: The Shape Parameter determines the shrinkness and flatness of the hyperboloid, influencing how quickly the radius changes from the base to the waist of the structure.

Q3: What are typical applications of Circular Hyperboloids?
A: These shapes are commonly used in cooling towers, water towers, architectural designs, and various structural elements where their unique geometric properties are advantageous.

Q4: Why must the skirt radius be smaller than the base radius?
A: For a hyperboloid of one sheet (the typical shape), the waist (skirt) is narrower than the base, making the skirt radius smaller than the base radius.

Q5: Can this formula be used for hyperboloids of two sheets?
A: No, this specific formula applies to hyperboloids of one sheet, which are the most common type used in practical applications.

Height of Circular Hyperboloid Calculator© - All Rights Reserved 2025