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The Height of Oloid is defined as the distance between the center of the circular base to any point on the circumference of the Oloid. It is an important geometric parameter in the study of this unique three-dimensional shape.
The calculator uses the formula:
Where:
Explanation: This formula calculates the height of an oloid based on its surface to volume ratio, using the mathematical relationship between these geometric properties.
Details: Calculating the height of an oloid is crucial for various engineering and architectural applications where this unique shape is used. It helps in determining the spatial requirements and structural properties of oloid-based designs.
Tips: Enter the surface to volume ratio in 1/m. 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 that was discovered by Paul Schatz in 1929. It's the convex hull of two circles arranged in perpendicular planes.
Q2: What are typical 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.
Q3: How is surface to volume ratio measured for an oloid?
A: The surface to volume ratio is calculated by dividing the total surface area of the oloid by its volume, both of which can be determined through specific geometric formulas.
Q4: What is the significance of the constant 3.0524184684?
A: This constant is derived from the geometric properties of the oloid shape and represents a specific relationship between its surface area, volume, and linear dimensions.
Q5: Can this formula be used for other geometric shapes?
A: No, this specific formula is unique to oloids due to their particular geometric properties and the constant value used is specific to this shape.