Circumscribed 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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✖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.ⓘ Circumscribed Cylinder Radius of Cube given Circumsphere Radius [r_c(Cylinder)]

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Formula

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Circumscribed Cylinder Radius of Cube given Circumsphere Radius

Formula

`"r"_{"c(Cylinder)"} = sqrt(2/3)*"r"_{"c"}`

Example

`"7.348469m"=sqrt(2/3)*"9m"`

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Circumscribed Cylinder Radius of Cube given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumscribed Cylinder Radius of Cube = sqrt(2/3)*Circumsphere Radius of Cube
r_c(Cylinder) = sqrt(2/3)*r_c
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

Circumscribed Cylinder Radius of Cube - (Measured in Meter) - 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.
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_c(Cylinder) = sqrt(2/3)*r_c --> sqrt(2/3)*9

Evaluating ... ...

r_c(Cylinder) = 7.34846922834953

STEP 3: Convert Result to Output's Unit

7.34846922834953 Meter --> No Conversion Required

FINAL ANSWER

7.34846922834953 ≈ 7.348469 Meter <-- Circumscribed Cylinder Radius of Cube

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 14 Circumscribed Cylinder Radius of Cube Calculators

Circumscribed Cylinder Radius of Cube given Total Surface Area

Go Circumscribed Cylinder Radius of Cube = 1/sqrt(2)*sqrt(Total Surface Area of Cube/6)

Circumscribed Cylinder Radius of Cube given Surface to Volume Ratio

Go Circumscribed Cylinder Radius of Cube = (3*sqrt(2))/Surface to Volume Ratio of Cube

Circumscribed Cylinder Radius of Cube given Inscribed Cylinder Radius

Go Circumscribed Cylinder Radius of Cube = sqrt(2)*Inscribed Cylinder Radius of Cube

Circumscribed Cylinder Radius of Cube given Circumsphere Radius

Go Circumscribed Cylinder Radius of Cube = sqrt(2/3)*Circumsphere Radius of Cube

Circumscribed Cylinder Radius of Cube given Face Perimeter

Go Circumscribed Cylinder Radius of Cube = Face Perimeter of Cube/(4*sqrt(2))

Circumscribed Cylinder Radius of Cube given Lateral Surface Area

Go Inscribed Cylinder Radius of Cube = sqrt(Lateral Surface Area of Cube/8)

Circumscribed Cylinder Radius of Cube given Insphere Radius

Go Circumscribed Cylinder Radius of Cube = sqrt(2)*Insphere Radius of Cube

Circumscribed Cylinder Radius of Cube given Space Diagonal

Go Circumscribed Cylinder Radius of Cube = Space Diagonal of Cube/sqrt(6)

Circumscribed Cylinder Radius of Cube given Perimeter

Go Circumscribed Cylinder Radius of Cube = Perimeter of Cube/(12*sqrt(2))

Circumscribed Cylinder Radius of Cube given Volume

Go Circumscribed Cylinder Radius of Cube = (Volume of Cube^(1/3))/sqrt(2)

Circumscribed Cylinder Radius of Cube

Go Circumscribed Cylinder Radius of Cube = Edge Length of Cube/sqrt(2)

Circumscribed Cylinder Radius of Cube given Face Area

Go Circumscribed Cylinder Radius of Cube = sqrt(Face Area of Cube/2)

Circumscribed Cylinder Radius of Cube given Midsphere Radius

Go Circumscribed Cylinder Radius of Cube = 1*Midsphere Radius of Cube

Circumscribed Cylinder Radius of Cube given Face Diagonal

Go Circumscribed Cylinder Radius of Cube = Face Diagonal of Cube/2

Circumscribed Cylinder Radius of Cube given Circumsphere Radius Formula

Circumscribed Cylinder Radius of Cube = sqrt(2/3)*Circumsphere Radius of Cube
r_c(Cylinder) = sqrt(2/3)*r_c

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 Circumscribed Cylinder Radius of Cube given Circumsphere Radius?

Circumscribed Cylinder Radius of Cube given Circumsphere Radius calculator uses Circumscribed Cylinder Radius of Cube = sqrt(2/3)*Circumsphere Radius of Cube to calculate the Circumscribed Cylinder Radius of Cube, The Circumscribed Cylinder Radius of Cube given Circumsphere Radius formula is defined as the radius of the cylinder that contains the Cube in such a way that all the vertices of the Cube are touching the cylinder and is calculated using the circumsphere radius of the Cube. Circumscribed Cylinder Radius of Cube is denoted by r_c(Cylinder) symbol.

How to calculate Circumscribed Cylinder Radius of Cube given Circumsphere Radius using this online calculator? To use this online calculator for Circumscribed Cylinder Radius of Cube given Circumsphere Radius, enter Circumsphere Radius of Cube (r_c) and hit the calculate button. Here is how the Circumscribed Cylinder Radius of Cube given Circumsphere Radius calculation can be explained with given input values -> 7.348469 = sqrt(2/3)*9.

FAQ

What is Circumscribed Cylinder Radius of Cube given Circumsphere Radius?

The Circumscribed Cylinder Radius of Cube given Circumsphere Radius formula is defined as the radius of the cylinder that contains the Cube in such a way that all the vertices of the Cube are touching the cylinder and is calculated using the circumsphere radius of the Cube and is represented as r_c(Cylinder) = sqrt(2/3)*r_c or Circumscribed Cylinder Radius of Cube = sqrt(2/3)*Circumsphere Radius of Cube. 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 Circumscribed Cylinder Radius of Cube given Circumsphere Radius?

The Circumscribed Cylinder Radius of Cube given Circumsphere Radius formula is defined as the radius of the cylinder that contains the Cube in such a way that all the vertices of the Cube are touching the cylinder and is calculated using the circumsphere radius of the Cube is calculated using Circumscribed Cylinder Radius of Cube = sqrt(2/3)*Circumsphere Radius of Cube. To calculate Circumscribed 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 Circumscribed Cylinder Radius of Cube?

In this formula, Circumscribed Cylinder Radius of Cube uses Circumsphere Radius of Cube. We can use 12 other way(s) to calculate the same, which is/are as follows -

Circumscribed Cylinder Radius of Cube = Edge Length of Cube/sqrt(2)
Circumscribed Cylinder Radius of Cube = sqrt(Face Area of Cube/2)
Circumscribed Cylinder Radius of Cube = Face Perimeter of Cube/(4*sqrt(2))
Circumscribed Cylinder Radius of Cube = sqrt(2)*Insphere Radius of Cube
Circumscribed Cylinder Radius of Cube = sqrt(2)*Inscribed Cylinder Radius of Cube
Circumscribed Cylinder Radius of Cube = (3*sqrt(2))/Surface to Volume Ratio of Cube
Circumscribed Cylinder Radius of Cube = 1*Midsphere Radius of Cube
Circumscribed Cylinder Radius of Cube = (Volume of Cube^(1/3))/sqrt(2)
Circumscribed Cylinder Radius of Cube = Face Diagonal of Cube/2
Circumscribed Cylinder Radius of Cube = Space Diagonal of Cube/sqrt(6)
Circumscribed Cylinder Radius of Cube = 1/sqrt(2)*sqrt(Total Surface Area of Cube/6)
Circumscribed Cylinder Radius of Cube = Perimeter of Cube/(12*sqrt(2))

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