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Inscribed Cylinder Radius of Cube given Insphere Radius Calculator

Formula Used:

\[ \text{Inscribed Cylinder Radius of Cube} = 1 \times \text{Insphere Radius of Cube} \]

m

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1. What is Inscribed Cylinder Radius of Cube?

Inscribed Cylinder Radius of Cube is the radius of the cylinder that is contained by the Cube in such a way that all the faces of the Cube are just touching the cylinder.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Inscribed Cylinder Radius of Cube} = 1 \times \text{Insphere Radius of Cube} \]

Where:

Explanation: The inscribed cylinder radius of a cube is equal to the insphere radius of the same cube.

3. Importance of Inscribed Cylinder Radius Calculation

Details: Calculating the inscribed cylinder radius is important in geometric modeling, engineering design, and understanding spatial relationships between different geometric shapes within a cube.

4. Using the Calculator

Tips: Enter the insphere radius of the cube in meters. The value must be valid (greater than 0).

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between inscribed cylinder radius and insphere radius?
A: The inscribed cylinder radius of a cube is exactly equal to the insphere radius of the same cube.

Q2: Can this formula be applied to other polyhedrons?
A: No, this specific relationship only applies to cubes where the cylinder is perfectly inscribed and touches all faces.

Q3: What are practical applications of this calculation?
A: This calculation is used in mechanical engineering, architectural design, and manufacturing where cylindrical components need to fit perfectly within cubic spaces.

Q4: How accurate is this formula?
A: The formula is mathematically exact for perfect cubes and provides precise results.

Q5: What units should be used for input values?
A: The calculator uses meters as the default unit, but any consistent unit system can be used as long as all measurements are in the same units.

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