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Circumscribed Cylinder Radius of Cube is the radius of the cylinder that contains the Cube in such a way that all the vertices of the Cube are touching the cylinder. It represents the minimum radius cylinder that can completely enclose a cube.
The calculator uses the formula:
Where:
Explanation: The circumscribed cylinder radius of a cube is exactly equal to the midsphere radius of the same cube. This relationship holds true for all cubes regardless of size.
Details: Understanding the relationship between different geometric properties of a cube is essential in various fields including architecture, engineering, computer graphics, and 3D modeling. This calculation helps in determining the minimum cylindrical container needed to enclose a cubic object.
Tips: Enter the midsphere radius of the cube in meters. The value must be positive and greater than zero. The calculator will automatically compute the circumscribed cylinder radius.
Q1: What is the midsphere radius of a cube?
A: The midsphere radius of a cube is the radius of the sphere that is tangent to all the edges of the cube.
Q2: Why are these two values equal?
A: Due to the symmetric properties of a cube, the distance from the center to any vertex (circumscribed cylinder radius) equals the distance from the center to the midpoints of the edges (midsphere radius).
Q3: Can this formula be applied to other polyhedrons?
A: No, this specific 1:1 relationship is unique to cubes among regular polyhedrons.
Q4: What are practical applications of this calculation?
A: This is used in packaging design, mechanical engineering for fitting components, and in computer graphics for bounding volume calculations.
Q5: How accurate is this calculation?
A: The calculation is mathematically exact for perfect cubes. The accuracy depends on the precision of the input midsphere radius measurement.