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The radius of one circle of an oloid is defined as the distance from the center to any point on the circumference of the circular cross-section. Given the volume of the oloid, this calculator determines the radius using a specific mathematical relationship.
The calculator uses the formula:
Where:
Explanation: This formula calculates the radius by taking the cube root of the volume divided by a constant factor specific to oloid geometry.
Details: Calculating the radius from volume is essential for understanding the dimensional properties of oloids, which have applications in engineering, architecture, and mathematical modeling of three-dimensional shapes.
Tips: Enter the volume of the oloid in cubic meters. The value must be positive and greater than zero for accurate calculation.
Q1: What is an oloid?
A: An oloid is a three-dimensional curved geometric shape formed by the convex hull of two circles of equal radius placed perpendicular to each other.
Q2: Why is the constant 3.0524184684 used?
A: This constant is derived from the mathematical relationship between the volume and radius of an oloid, based on its specific geometric properties.
Q3: What are typical applications of oloids?
A: Oloids are used in various engineering applications, including mixing devices, architectural designs, and as mathematical objects of study in geometry.
Q4: Can this formula be used for partial oloids?
A: No, this formula is specifically designed for complete, standard oloids with the defined geometric relationship.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact for perfect oloid shapes, though real-world applications may require consideration of manufacturing tolerances.