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Volume Of Oloid Given Edge Length Calculator

Volume of Oloid Formula:

\[ V = 3.0524184684 \times \left( \frac{3 \times l_e}{4 \times \pi} \right)^3 \]

m

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1. What is the Volume of Oloid Calculation?

The Volume of Oloid calculation determines the amount of three-dimensional space enclosed by an Oloid shape. An Oloid is a three-dimensional curved geometric object that was discovered by Paul Schatz in 1929.

2. How Does the Calculator Work?

The calculator uses the Oloid volume formula:

\[ V = 3.0524184684 \times \left( \frac{3 \times l_e}{4 \times \pi} \right)^3 \]

Where:

Explanation: The formula calculates the volume based on the edge length of the Oloid, using a specific mathematical constant derived from the geometric properties of the shape.

3. Importance of Volume Calculation

Details: Calculating the volume of an Oloid is important in various engineering and design applications, particularly in mechanical engineering, architecture, and industrial design where this unique shape is utilized for its interesting geometric properties and aesthetic appeal.

4. Using the Calculator

Tips: Enter the edge length of the Oloid in meters. The value must be positive and greater than zero. The calculator will compute the volume in cubic meters.

5. Frequently Asked Questions (FAQ)

Q1: What is an Oloid?
A: An Oloid is a three-dimensional curved geometric shape discovered by Paul Schatz. It's the convex hull of a skeletal frame made by placing two linked congruent circles in perpendicular planes.

Q2: What are the practical applications of Oloids?
A: Oloids are used in various applications including mixing devices, architectural designs, and mechanical systems where their unique rolling properties and geometric characteristics are beneficial.

Q3: How accurate is this volume calculation?
A: The formula provides a precise mathematical calculation of the Oloid volume based on its edge length, using the established constant 3.0524184684.

Q4: Can this calculator be used for different units?
A: The calculator uses meters as the base unit. For other units, convert your measurement to meters first, then convert the result back to your desired volume unit.

Q5: What is the relationship between edge length and volume?
A: The volume increases with the cube of the edge length, meaning that doubling the edge length will result in an eight-fold increase in volume.

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