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Oloid Volume Formula:
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The Volume of Oloid is the amount of space that an Oloid occupies or that is enclosed within the Oloid. An oloid is a three-dimensional curved geometric object that was discovered by Paul Schatz in 1929.
The calculator uses the oloid volume formula:
Where:
Explanation: The formula calculates the volume of an oloid based on its radius, using the constant 3.0524184684 which is derived from the geometric properties of the oloid shape.
Details: Calculating the volume of an oloid is important in various engineering and architectural applications where this unique geometric shape is used. It helps in material estimation, structural analysis, and design optimization.
Tips: Enter the radius of the oloid in meters. The value must be valid (radius > 0). The calculator will compute the volume using the established formula.
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: How is the constant 3.0524184684 derived?
A: This constant is derived from the mathematical properties of the oloid shape and represents the relationship between the radius and volume of a perfect oloid.
Q3: What are practical applications of oloids?
A: Oloids are used in various applications including mixing devices, architectural designs, and mathematical models due to their unique rolling properties and aesthetic appeal.
Q4: Can this formula be used for partial oloids?
A: No, this formula calculates the volume of a complete, perfect oloid. Different calculations would be needed for partial or modified oloid shapes.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact for a perfect oloid shape with the given radius, assuming the constant 3.0524184684 is precise.