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Midsphere radius of Rhombic Dodecahedron given Surface-to-volume ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
radius = (6/sqrt(3))*(1/surface to volume ratio)
r = (6/sqrt(3))*(1/r)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
surface to volume ratio - surface to volume ratio is fraction of surface to volume. (Measured in Hundred)
STEP 1: Convert Input(s) to Base Unit
surface to volume ratio: 0.5 Hundred --> 0.5 Hundred No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = (6/sqrt(3))*(1/r) --> (6/sqrt(3))*(1/0.5)
Evaluating ... ...
r = 6.92820323027551
STEP 3: Convert Result to Output's Unit
6.92820323027551 Meter -->692.820323027551 Centimeter (Check conversion here)
FINAL ANSWER
692.820323027551 Centimeter <-- Radius
(Calculation completed in 00.000 seconds)

10+ Radius of Rhombic Dodecahedron Calculators

Midsphere radius of Rhombic Dodecahedron given area
radius = ((2*sqrt(2))/3)*sqrt((Area)/(8*sqrt(2))) Go
Insphere radius of Rhombic Dodecahedron given area
radius = (sqrt(6)/3)*sqrt(Area/(8*sqrt(2))) Go
Midsphere radius of Rhombic Dodecahedron given volume
radius = ((2*sqrt(2))/3)*(((9*Volume)/(16*sqrt(3)))^(1/3)) Go
Insphere radius of Rhombic Dodecahedron given volume
radius = (sqrt(6)/3)*(((9*Volume)/(16*sqrt(3)))^(1/3)) Go
Midsphere radius of Rhombic Dodecahedron given Surface-to-volume ratio
radius = (6/sqrt(3))*(1/surface to volume ratio) Go
Midsphere radius of Rhombic Dodecahedron given Insphere radius
radius = (2/sqrt(3))*(Radius 1) Go
Insphere radius of Rhombic Dodecahedron given Midsphere radius
radius = (sqrt(3)/2)*Radius 1 Go
Midsphere radius of Rhombic Dodecahedron given edge length
radius = (2/3)*Side A*sqrt(2) Go
Insphere radius of Rhombic Dodecahedron given edge length
radius = (sqrt(6)/3)*Side A Go
Insphere radius of Rhombic Dodecahedron given Surface-to-volume ratio
radius = 3/surface to volume ratio Go

Midsphere radius of Rhombic Dodecahedron given Surface-to-volume ratio Formula

radius = (6/sqrt(3))*(1/surface to volume ratio)
r = (6/sqrt(3))*(1/r)

What is rhombic dodecahedron?

In spacecraft reaction wheel layout, a tetrahedral configuration of four wheels is commonly used. For wheels that perform equally (from a peak torque and max angular momentum standpoint) in both spin directions and across all four wheels, the maximum torque and maximum momentum envelopes for the 3-axis attitude control system (considering idealized actuators) are given by projecting the tesseract representing the limits of each wheel's torque or momentum into 3D space via the 3 × 4 matrix of wheel axes; the resulting 3D polyhedron is a rhombic dodecahedron

How to Calculate Midsphere radius of Rhombic Dodecahedron given Surface-to-volume ratio?

Midsphere radius of Rhombic Dodecahedron given Surface-to-volume ratio calculator uses radius = (6/sqrt(3))*(1/surface to volume ratio) to calculate the Radius, The Midsphere radius of Rhombic Dodecahedron given Surface-to-volume ratio formula is defined as a straight line connecting center of Midsphere which is middle between insphere and circumsphere and any point on that midsphere. Where, radius = Midsphere of rhombic dodecahedron. Radius and is denoted by r symbol.

How to calculate Midsphere radius of Rhombic Dodecahedron given Surface-to-volume ratio using this online calculator? To use this online calculator for Midsphere radius of Rhombic Dodecahedron given Surface-to-volume ratio, enter surface to volume ratio (r) and hit the calculate button. Here is how the Midsphere radius of Rhombic Dodecahedron given Surface-to-volume ratio calculation can be explained with given input values -> 692.8203 = (6/sqrt(3))*(1/0.5).

FAQ

What is Midsphere radius of Rhombic Dodecahedron given Surface-to-volume ratio?
The Midsphere radius of Rhombic Dodecahedron given Surface-to-volume ratio formula is defined as a straight line connecting center of Midsphere which is middle between insphere and circumsphere and any point on that midsphere. Where, radius = Midsphere of rhombic dodecahedron and is represented as r = (6/sqrt(3))*(1/r) or radius = (6/sqrt(3))*(1/surface to volume ratio). surface to volume ratio is fraction of surface to volume.
How to calculate Midsphere radius of Rhombic Dodecahedron given Surface-to-volume ratio?
The Midsphere radius of Rhombic Dodecahedron given Surface-to-volume ratio formula is defined as a straight line connecting center of Midsphere which is middle between insphere and circumsphere and any point on that midsphere. Where, radius = Midsphere of rhombic dodecahedron is calculated using radius = (6/sqrt(3))*(1/surface to volume ratio). To calculate Midsphere radius of Rhombic Dodecahedron given Surface-to-volume ratio, you need surface to volume ratio (r). With our tool, you need to enter the respective value for surface to volume ratio 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 Radius?
In this formula, Radius uses surface to volume ratio. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • radius = (2/3)*Side A*sqrt(2)
  • radius = (sqrt(6)/3)*Side A
  • radius = (6/sqrt(3))*(1/surface to volume ratio)
  • radius = (2/sqrt(3))*(Radius 1)
  • radius = ((2*sqrt(2))/3)*(((9*Volume)/(16*sqrt(3)))^(1/3))
  • radius = ((2*sqrt(2))/3)*sqrt((Area)/(8*sqrt(2)))
  • radius = (sqrt(6)/3)*sqrt(Area/(8*sqrt(2)))
  • radius = (sqrt(6)/3)*(((9*Volume)/(16*sqrt(3)))^(1/3))
  • radius = (sqrt(3)/2)*Radius 1
  • radius = 3/surface to volume ratio
Where is the Midsphere radius of Rhombic Dodecahedron given Surface-to-volume ratio calculator used?
Among many, Midsphere radius of Rhombic Dodecahedron given Surface-to-volume ratio calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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