Circumsphere Radius of Octahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumsphere Radius of Octahedron = (3*sqrt(3))/Surface to Volume Ratio of Octahedron
rc = (3*sqrt(3))/RA/V
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Square root function, sqrt(Number)
Variables Used
Circumsphere Radius of Octahedron - (Measured in Meter) - Circumsphere Radius of Octahedron is the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere.
Surface to Volume Ratio of Octahedron - (Measured in 1 per Meter) - The Surface to Volume Ratio of Octahedron is the numerical ratio of the total surface area to the volume of the Octahedron.
STEP 1: Convert Input(s) to Base Unit
Surface to Volume Ratio of Octahedron: 0.7 1 per Meter --> 0.7 1 per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = (3*sqrt(3))/RA/V --> (3*sqrt(3))/0.7
Evaluating ... ...
rc = 7.4230748895809
STEP 3: Convert Result to Output's Unit
7.4230748895809 Meter --> No Conversion Required
FINAL ANSWER
7.4230748895809 7.423075 Meter <-- Circumsphere Radius of Octahedron
(Calculation completed in 00.003 seconds)

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 700+ more calculators!
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Mumbai University (DJSCE), Mumbai
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7 Circumsphere Radius of Octahedron Calculators

Circumsphere Radius of Octahedron given Total Surface Area
Go Circumsphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(4*sqrt(3)))
Circumsphere Radius of Octahedron given Volume
Go Circumsphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/sqrt(2)
Circumsphere Radius of Octahedron given Surface to Volume Ratio
Go Circumsphere Radius of Octahedron = (3*sqrt(3))/Surface to Volume Ratio of Octahedron
Circumsphere Radius of Octahedron given Midsphere Radius
Go Circumsphere Radius of Octahedron = sqrt(2)*Midsphere Radius of Octahedron
Circumsphere Radius of Octahedron given Insphere Radius
Go Circumsphere Radius of Octahedron = sqrt(3)*Insphere Radius of Octahedron
Circumsphere Radius of Octahedron
Go Circumsphere Radius of Octahedron = Edge Length of Octahedron/sqrt(2)
Circumsphere Radius of Octahedron given Space Diagonal
Go Circumsphere Radius of Octahedron = Space Diagonal of Octahedron/2

Circumsphere Radius of Octahedron given Surface to Volume Ratio Formula

Circumsphere Radius of Octahedron = (3*sqrt(3))/Surface to Volume Ratio of Octahedron
rc = (3*sqrt(3))/RA/V

What is an Octahedron?

An Octahedron is a symmetric and closed three dimensional shape with 8 identical equilateral triangular faces. It is a Platonic solid, which has 8 faces, 6 vertices and 12 edges. At each vertex, four equilateral triangular faces meet and at each edge, two equilateral triangular faces meet.

What are Platonic Solids?

In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size), regular (all angles equal and all sides equal), polygonal faces with the same number of faces meeting at each vertex. Five solids who meet this criteria are Tetrahedron {3,3} , Cube {4,3} , Octahedron {3,4} , Dodecahedron {5,3} , Icosahedron {3,5} ; where in {p, q}, p represents the number of edges in a face and q represents the number of edges meeting at a vertex; {p, q} is the Schläfli symbol.

How to Calculate Circumsphere Radius of Octahedron given Surface to Volume Ratio?

Circumsphere Radius of Octahedron given Surface to Volume Ratio calculator uses Circumsphere Radius of Octahedron = (3*sqrt(3))/Surface to Volume Ratio of Octahedron to calculate the Circumsphere Radius of Octahedron, The Circumsphere Radius of Octahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere, and calculated using the surface to volume ratio of the Octahedron. Circumsphere Radius of Octahedron is denoted by rc symbol.

How to calculate Circumsphere Radius of Octahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Circumsphere Radius of Octahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Octahedron (RA/V) and hit the calculate button. Here is how the Circumsphere Radius of Octahedron given Surface to Volume Ratio calculation can be explained with given input values -> 7.423075 = (3*sqrt(3))/0.7.

FAQ

What is Circumsphere Radius of Octahedron given Surface to Volume Ratio?
The Circumsphere Radius of Octahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere, and calculated using the surface to volume ratio of the Octahedron and is represented as rc = (3*sqrt(3))/RA/V or Circumsphere Radius of Octahedron = (3*sqrt(3))/Surface to Volume Ratio of Octahedron. The Surface to Volume Ratio of Octahedron is the numerical ratio of the total surface area to the volume of the Octahedron.
How to calculate Circumsphere Radius of Octahedron given Surface to Volume Ratio?
The Circumsphere Radius of Octahedron given Surface to Volume Ratio formula is defined as the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere, and calculated using the surface to volume ratio of the Octahedron is calculated using Circumsphere Radius of Octahedron = (3*sqrt(3))/Surface to Volume Ratio of Octahedron. To calculate Circumsphere Radius of Octahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Octahedron (RA/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Octahedron 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 Circumsphere Radius of Octahedron?
In this formula, Circumsphere Radius of Octahedron uses Surface to Volume Ratio of Octahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Circumsphere Radius of Octahedron = sqrt(3)*Insphere Radius of Octahedron
  • Circumsphere Radius of Octahedron = Edge Length of Octahedron/sqrt(2)
  • Circumsphere Radius of Octahedron = sqrt(2)*Midsphere Radius of Octahedron
  • Circumsphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(4*sqrt(3)))
  • Circumsphere Radius of Octahedron = Space Diagonal of Octahedron/2
  • Circumsphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/sqrt(2)
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