Inscribed Cylinder Radius of Cube given Circumsphere Radius Calculator

✖Circumsphere Radius of Cube is the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere.ⓘ Circumsphere Radius of Cube [r_c]

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✖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.ⓘ Inscribed Cylinder Radius of Cube given Circumsphere Radius [r_i(Cylinder)]

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Inscribed Cylinder Radius of Cube given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inscribed Cylinder Radius of Cube = Circumsphere Radius of Cube/sqrt(3)
r_i(Cylinder) = r_c/sqrt(3)
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Inscribed Cylinder Radius of Cube - (Measured in Meter) - 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.
Circumsphere Radius of Cube - (Measured in Meter) - Circumsphere Radius of Cube is the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Cube: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i(Cylinder) = r_c/sqrt(3) --> 9/sqrt(3)

Evaluating ... ...

r_i(Cylinder) = 5.19615242270663

STEP 3: Convert Result to Output's Unit

5.19615242270663 Meter --> No Conversion Required

FINAL ANSWER

5.19615242270663 ≈ 5.196152 Meter <-- Inscribed Cylinder Radius of Cube

(Calculation completed in 00.004 seconds)

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Inscribed Cylinder Radius of Cube given Circumsphere Radius Formula

LaTeX Go

Inscribed Cylinder Radius of Cube = Circumsphere Radius of Cube/sqrt(3)
r_i(Cylinder) = r_c/sqrt(3)

What is a Cube?

A Cube is a symmetric, closed three dimensional shape having 6 identical square shaped faces. It has 8 corners, 12 edges and 6 faces. And each corner is shared by 3 faces and each edge is shared by 2 faces of the Cube. In other way, a rectangular box in which length, breadth and height are numerically equal is called a Cube. That equal measurement is called the edge length of the Cube. Also Cube is a Platonic solid.

How to Calculate Inscribed Cylinder Radius of Cube given Circumsphere Radius?

Inscribed Cylinder Radius of Cube given Circumsphere Radius calculator uses Inscribed Cylinder Radius of Cube = Circumsphere Radius of Cube/sqrt(3) to calculate the Inscribed Cylinder Radius of Cube, The Inscribed Cylinder Radius of Cube given Circumsphere Radius formula is defined as 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, and calculated using the circumsphere radius of Cube. Inscribed Cylinder Radius of Cube is denoted by r_i(Cylinder) symbol.

How to calculate Inscribed Cylinder Radius of Cube given Circumsphere Radius using this online calculator? To use this online calculator for Inscribed Cylinder Radius of Cube given Circumsphere Radius, enter Circumsphere Radius of Cube (r_c) and hit the calculate button. Here is how the Inscribed Cylinder Radius of Cube given Circumsphere Radius calculation can be explained with given input values -> 5.196152 = 9/sqrt(3).

FAQ

What is Inscribed Cylinder Radius of Cube given Circumsphere Radius?

The Inscribed Cylinder Radius of Cube given Circumsphere Radius formula is defined as 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, and calculated using the circumsphere radius of Cube and is represented as r_i(Cylinder) = r_c/sqrt(3) or Inscribed Cylinder Radius of Cube = Circumsphere Radius of Cube/sqrt(3). Circumsphere Radius of Cube is the radius of the sphere that contains the Cube in such a way that all the vertices of the Cube are touching the sphere.

How to calculate Inscribed Cylinder Radius of Cube given Circumsphere Radius?

The Inscribed Cylinder Radius of Cube given Circumsphere Radius formula is defined as 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, and calculated using the circumsphere radius of Cube is calculated using Inscribed Cylinder Radius of Cube = Circumsphere Radius of Cube/sqrt(3). To calculate Inscribed Cylinder Radius of Cube given Circumsphere Radius, you need Circumsphere Radius of Cube (r_c). With our tool, you need to enter the respective value for Circumsphere Radius of Cube and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Inscribed Cylinder Radius of Cube?

In this formula, Inscribed Cylinder Radius of Cube uses Circumsphere Radius of Cube. We can use 3 other way(s) to calculate the same, which is/are as follows -

Inscribed Cylinder Radius of Cube = Edge Length of Cube/2
Inscribed Cylinder Radius of Cube = Face Diagonal of Cube/(2*sqrt(2))
Inscribed Cylinder Radius of Cube = sqrt(Face Area of Cube)/2

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