Home Back

Cylindrical Radius of Spherical Ring Calculator

Formula Used:

\[ r_{Cylinder} = \sqrt{r_{Sphere}^2 - \frac{h_{Cylinder}^2}{4}} \]

m
m

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Cylindrical Radius of Spherical Ring?

The Cylindrical Radius of Spherical Ring is the distance between the centre any point on the circumference of circular faces of the cylindrical hole of the Spherical Ring.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ r_{Cylinder} = \sqrt{r_{Sphere}^2 - \frac{h_{Cylinder}^2}{4}} \]

Where:

Explanation: This formula calculates the cylindrical radius based on the spherical radius and cylindrical height using the Pythagorean theorem relationship in a spherical ring geometry.

3. Importance of Cylindrical Radius Calculation

Details: Accurate calculation of the cylindrical radius is crucial for determining the dimensions and properties of spherical rings in geometric and engineering applications.

4. Using the Calculator

Tips: Enter spherical radius and cylindrical height in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a spherical ring?
A: A spherical ring is a three-dimensional geometric shape formed by removing a cylindrical portion from a sphere.

Q2: What are the units used in this calculation?
A: The calculator uses meters for all measurements, but the formula works with any consistent unit system.

Q3: When is this calculation typically used?
A: This calculation is used in geometry, engineering design, and architectural applications involving spherical ring structures.

Q4: Are there limitations to this formula?
A: The formula assumes a perfect spherical ring geometry and may not account for manufacturing tolerances or material deformations.

Q5: Can this formula be used for other geometric shapes?
A: This specific formula is designed for spherical rings and may not apply directly to other geometric configurations.

Cylindrical Radius of Spherical Ring Calculator© - All Rights Reserved 2025