Circumscribed Cylinder Radius of Cube given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumscribed Cylinder Radius of Cube = (Volume of Cube^(1/3))/sqrt(2)
rc(Cylinder) = (V^(1/3))/sqrt(2)
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Square root function, 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.
Volume of Cube - (Measured in Cubic Meter) - Volume of Cube is the total quantity of three dimensional space enclosed by the surface of a Cube.
STEP 1: Convert Input(s) to Base Unit
Volume of Cube: 1000 Cubic Meter --> 1000 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc(Cylinder) = (V^(1/3))/sqrt(2) --> (1000^(1/3))/sqrt(2)
Evaluating ... ...
rc(Cylinder) = 7.07106781186547
STEP 3: Convert Result to Output's Unit
7.07106781186547 Meter --> No Conversion Required
FINAL ANSWER
7.07106781186547 7.071068 Meter <-- Circumscribed Cylinder Radius of Cube
(Calculation completed in 00.004 seconds)

Credits

Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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The National Institute of Engineering (NIE), Mysuru
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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 Volume Formula

Circumscribed Cylinder Radius of Cube = (Volume of Cube^(1/3))/sqrt(2)
rc(Cylinder) = (V^(1/3))/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 Circumscribed Cylinder Radius of Cube given Volume?

Circumscribed Cylinder Radius of Cube given Volume calculator uses Circumscribed Cylinder Radius of Cube = (Volume of Cube^(1/3))/sqrt(2) to calculate the Circumscribed Cylinder Radius of Cube, The Circumscribed Cylinder Radius of Cube given Volume 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 volume of the Cube. Circumscribed Cylinder Radius of Cube is denoted by rc(Cylinder) symbol.

How to calculate Circumscribed Cylinder Radius of Cube given Volume using this online calculator? To use this online calculator for Circumscribed Cylinder Radius of Cube given Volume, enter Volume of Cube (V) and hit the calculate button. Here is how the Circumscribed Cylinder Radius of Cube given Volume calculation can be explained with given input values -> 7.071068 = (1000^(1/3))/sqrt(2).

FAQ

What is Circumscribed Cylinder Radius of Cube given Volume?
The Circumscribed Cylinder Radius of Cube given Volume 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 volume of the Cube and is represented as rc(Cylinder) = (V^(1/3))/sqrt(2) or Circumscribed Cylinder Radius of Cube = (Volume of Cube^(1/3))/sqrt(2). Volume of Cube is the total quantity of three dimensional space enclosed by the surface of a Cube.
How to calculate Circumscribed Cylinder Radius of Cube given Volume?
The Circumscribed Cylinder Radius of Cube given Volume 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 volume of the Cube is calculated using Circumscribed Cylinder Radius of Cube = (Volume of Cube^(1/3))/sqrt(2). To calculate Circumscribed Cylinder Radius of Cube given Volume, you need Volume of Cube (V). With our tool, you need to enter the respective value for Volume 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 Volume 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 = 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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