1. What is the Height of Spherical Segment?

The height of a spherical segment is the vertical distance between the top and bottom circular faces of the spherical segment. It is an important geometric parameter used in various engineering and mathematical applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( h \) — Height of Spherical Segment (m)
• \( CSA \) — Curved Surface Area of Spherical Segment (m²)
• \( r \) — Radius of Spherical Segment (m)
• \( \pi \) — Archimedes' constant (≈ 3.14159)

Explanation: This formula calculates the height of a spherical segment when the curved surface area and radius are known.

3. Importance of Height Calculation

Details: Calculating the height of a spherical segment is crucial in geometry, architecture, and engineering applications where precise measurements of spherical sections are required.

4. Using the Calculator

Tips: Enter the curved surface area in square meters and the radius in meters. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a spherical segment?
A: A spherical segment is the solid portion of a sphere cut off by a plane. It is bounded by two parallel planes intersecting the sphere.

Q2: What are the units for height measurement?
A: The height is typically measured in meters (m), but any consistent length unit can be used as long as all inputs use the same unit.

Q3: Can this formula be used for any spherical segment?
A: Yes, this formula applies to all spherical segments where the curved surface area and radius are known.

Q4: What if I have the total surface area instead of curved surface area?
A: The formula specifically requires the curved surface area. If you have the total surface area, you need to subtract the areas of the circular bases first.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact, assuming precise input values and using the exact value of π.