Insphere Radius of Cube given Circumscribed Cylinder Radius 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 [r_c(Cylinder)]

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✖Insphere Radius of Cube is the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere.ⓘ Insphere Radius of Cube given Circumscribed Cylinder Radius [r_i]

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Formula

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Insphere Radius of Cube given Circumscribed Cylinder Radius

Formula

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

Example

`"4.949747m"="7m"/sqrt(2)`

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Insphere Radius of Cube given Circumscribed Cylinder Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Cube = Circumscribed Cylinder Radius of Cube/sqrt(2)
r_i = r_c(Cylinder)/sqrt(2)
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

Insphere Radius of Cube - (Measured in Meter) - Insphere Radius of Cube is the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere.
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.

STEP 1: Convert Input(s) to Base Unit

Circumscribed Cylinder Radius of Cube: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = r_c(Cylinder)/sqrt(2) --> 7/sqrt(2)

Evaluating ... ...

r_i = 4.94974746830583

STEP 3: Convert Result to Output's Unit

4.94974746830583 Meter --> No Conversion Required

FINAL ANSWER

4.94974746830583 ≈ 4.949747 Meter <-- Insphere Radius of Cube

(Calculation completed in 00.005 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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Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

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< 14 Insphere Radius of Cube Calculators

Insphere Radius of Cube given Circumscribed Cylinder Radius

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

Insphere Radius of Cube given Total Surface Area

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

Insphere Radius of Cube given Lateral Surface Area

Go Insphere Radius of Cube = sqrt(Lateral Surface Area of Cube)/4

Insphere Radius of Cube given Circumsphere Radius

Go Insphere Radius of Cube = Circumsphere Radius of Cube/sqrt(3)

Insphere Radius of Cube given Space Diagonal

Go Insphere Radius of Cube = Space Diagonal of Cube/(2*sqrt(3))

Insphere Radius of Cube given Face Diagonal

Go Insphere Radius of Cube = Face Diagonal of Cube/(2*sqrt(2))

Insphere Radius of Cube given Midsphere Radius

Go Insphere Radius of Cube = Midsphere Radius of Cube/sqrt(2)

Insphere Radius of Cube given Face Area

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

Insphere Radius of Cube given Inscribed Cylinder Radius

Go Insphere Radius of Cube = Inscribed Cylinder Radius of Cube/1

Insphere Radius of Cube given Surface to Volume Ratio

Go Insphere Radius of Cube = 3/Surface to Volume Ratio of Cube

Insphere Radius of Cube given Face Perimeter

Go Insphere Radius of Cube = Face Perimeter of Cube/8

Insphere Radius of Cube given Volume

Go Insphere Radius of Cube = Volume of Cube^(1/3)/2

Insphere Radius of Cube

Go Insphere Radius of Cube = Edge Length of Cube/2

Insphere Radius of Cube given Perimeter

Go Insphere Radius of Cube = Perimeter of Cube/24

Insphere Radius of Cube given Circumscribed Cylinder Radius Formula

Insphere Radius of Cube = Circumscribed Cylinder Radius of Cube/sqrt(2)
r_i = r_c(Cylinder)/sqrt(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 Insphere Radius of Cube given Circumscribed Cylinder Radius?

Insphere Radius of Cube given Circumscribed Cylinder Radius calculator uses Insphere Radius of Cube = Circumscribed Cylinder Radius of Cube/sqrt(2) to calculate the Insphere Radius of Cube, The Insphere Radius of Cube given Circumscribed Cylinder Radius formula is defined as the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere, and calculated using the circumscribed cylinder radius of the Cube. Insphere Radius of Cube is denoted by r_i symbol.

How to calculate Insphere Radius of Cube given Circumscribed Cylinder Radius using this online calculator? To use this online calculator for Insphere Radius of Cube given Circumscribed Cylinder Radius, enter Circumscribed Cylinder Radius of Cube (r_c(Cylinder)) and hit the calculate button. Here is how the Insphere Radius of Cube given Circumscribed Cylinder Radius calculation can be explained with given input values -> 4.949747 = 7/sqrt(2).

FAQ

What is Insphere Radius of Cube given Circumscribed Cylinder Radius?

The Insphere Radius of Cube given Circumscribed Cylinder Radius formula is defined as the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere, and calculated using the circumscribed cylinder radius of the Cube and is represented as r_i = r_c(Cylinder)/sqrt(2) or Insphere Radius of Cube = Circumscribed Cylinder Radius of Cube/sqrt(2). 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.

How to calculate Insphere Radius of Cube given Circumscribed Cylinder Radius?

The Insphere Radius of Cube given Circumscribed Cylinder Radius formula is defined as the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere, and calculated using the circumscribed cylinder radius of the Cube is calculated using Insphere Radius of Cube = Circumscribed Cylinder Radius of Cube/sqrt(2). To calculate Insphere Radius of Cube given Circumscribed Cylinder Radius, you need Circumscribed Cylinder Radius of Cube (r_c(Cylinder)). With our tool, you need to enter the respective value for Circumscribed Cylinder 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 Insphere Radius of Cube?

In this formula, Insphere Radius of Cube uses Circumscribed Cylinder Radius of Cube. We can use 13 other way(s) to calculate the same, which is/are as follows -

Insphere Radius of Cube = Edge Length of Cube/2
Insphere Radius of Cube = Face Diagonal of Cube/(2*sqrt(2))
Insphere Radius of Cube = sqrt(Face Area of Cube)/2
Insphere Radius of Cube = Face Perimeter of Cube/8
Insphere Radius of Cube = Volume of Cube^(1/3)/2
Insphere Radius of Cube = Space Diagonal of Cube/(2*sqrt(3))
Insphere Radius of Cube = sqrt(Lateral Surface Area of Cube)/4
Insphere Radius of Cube = 1/2*sqrt(Total Surface Area of Cube/6)
Insphere Radius of Cube = Inscribed Cylinder Radius of Cube/1
Insphere Radius of Cube = Circumsphere Radius of Cube/sqrt(3)
Insphere Radius of Cube = Midsphere Radius of Cube/sqrt(2)
Insphere Radius of Cube = 3/Surface to Volume Ratio of Cube
Insphere Radius of Cube = Perimeter of Cube/24

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