Circumscribed Cylinder Radius of Cube given Face Diagonal Calculator

✖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 Face Diagonal [r_c(Cylinder)]

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Formula

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Circumscribed Cylinder Radius of Cube given Face Diagonal

Formula

`"r"_{"c(Cylinder)"} = "d"_{"Face"}/2`

Example

`"7m"="14m"/2`

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Circumscribed Cylinder Radius of Cube given Face Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumscribed Cylinder Radius of Cube = Face Diagonal of Cube/2
r_c(Cylinder) = d_Face/2
This formula uses 2 Variables

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.
Face Diagonal of Cube - (Measured in Meter) - Face Diagonal of Cube is the distance between any pair of opposite corners on a particular square face of the Cube.

STEP 1: Convert Input(s) to Base Unit

Face Diagonal of Cube: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c(Cylinder) = d_Face/2 --> 14/2

Evaluating ... ...

r_c(Cylinder) = 7

STEP 3: Convert Result to Output's Unit

7 Meter --> No Conversion Required

FINAL ANSWER

7 Meter <-- Circumscribed Cylinder Radius of Cube

(Calculation completed in 00.004 seconds)

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Credits

Created by Dhruv Walia

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

Dhruv Walia has created this Calculator and 1100+ more calculators!

Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

Nikita Kumari has verified this Calculator and 600+ more calculators!

< 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 Face Diagonal Formula

Circumscribed Cylinder Radius of Cube = Face Diagonal of Cube/2
r_c(Cylinder) = d_Face/2

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 Face Diagonal?

Circumscribed Cylinder Radius of Cube given Face Diagonal calculator uses Circumscribed Cylinder Radius of Cube = Face Diagonal of Cube/2 to calculate the Circumscribed Cylinder Radius of Cube, The Circumscribed Cylinder Radius of Cube given Face Diagonal 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 face diagonal of the Cube. Circumscribed Cylinder Radius of Cube is denoted by r_c(Cylinder) symbol.

How to calculate Circumscribed Cylinder Radius of Cube given Face Diagonal using this online calculator? To use this online calculator for Circumscribed Cylinder Radius of Cube given Face Diagonal, enter Face Diagonal of Cube (d_Face) and hit the calculate button. Here is how the Circumscribed Cylinder Radius of Cube given Face Diagonal calculation can be explained with given input values -> 7 = 14/2.

FAQ

What is Circumscribed Cylinder Radius of Cube given Face Diagonal?

The Circumscribed Cylinder Radius of Cube given Face Diagonal 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 face diagonal of the Cube and is represented as r_c(Cylinder) = d_Face/2 or Circumscribed Cylinder Radius of Cube = Face Diagonal of Cube/2. Face Diagonal of Cube is the distance between any pair of opposite corners on a particular square face of the Cube.

How to calculate Circumscribed Cylinder Radius of Cube given Face Diagonal?

The Circumscribed Cylinder Radius of Cube given Face Diagonal 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 face diagonal of the Cube is calculated using Circumscribed Cylinder Radius of Cube = Face Diagonal of Cube/2. To calculate Circumscribed Cylinder Radius of Cube given Face Diagonal, you need Face Diagonal of Cube (d_Face). With our tool, you need to enter the respective value for Face Diagonal 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 Face Diagonal 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 = sqrt(2/3)*Circumsphere 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 = 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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