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Circumradius of Truncated Dodecahedron given volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = ((((12*Volume)/(5*(99+47*sqrt(5))))^(1/3))/4)*(sqrt(74+(30*sqrt(5))))
rc = ((((12*V)/(5*(99+47*sqrt(5))))^(1/3))/4)*(sqrt(74+(30*sqrt(5))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Volume - Volume is the amount of space that a substance or object occupies or that is enclosed within a container. (Measured in Cubic Meter)
STEP 1: Convert Input(s) to Base Unit
Volume: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = ((((12*V)/(5*(99+47*sqrt(5))))^(1/3))/4)*(sqrt(74+(30*sqrt(5)))) --> ((((12*63)/(5*(99+47*sqrt(5))))^(1/3))/4)*(sqrt(74+(30*sqrt(5))))
Evaluating ... ...
rc = 2.68688374959378
STEP 3: Convert Result to Output's Unit
2.68688374959378 Meter --> No Conversion Required
FINAL ANSWER
2.68688374959378 Meter <-- Circumradius
(Calculation completed in 00.000 seconds)

6 Circumradius of Truncated Dodecahedron Calculators

Circumradius of Truncated Dodecahedron given surface to volume ratio
circumradius = (((12*(sqrt(3)+(6*(sqrt(5)+(2*sqrt(5))))))/(Surface to Volume Ratio*((99+(47*sqrt(5))))))/4)*(sqrt(74+(30*sqrt(5)))) Go
Circumradius of Truncated Dodecahedron given surface area
circumradius = ((sqrt(Surface Area/(5*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5)))))))/4)*(sqrt(74+(30*sqrt(5)))) Go
Circumradius of Truncated Dodecahedron given volume
circumradius = ((((12*Volume)/(5*(99+47*sqrt(5))))^(1/3))/4)*(sqrt(74+(30*sqrt(5)))) Go
Circumradius of Truncated Dodecahedron given midradius
circumradius = (((4*Midradius)/(5+(3*sqrt(5))))/4)*(sqrt(74+(30*sqrt(5)))) Go
Circumradius of Truncated Dodecahedron given edge length dodecahedron
circumradius = (((sqrt(5)*Edge length)/5)/4)*(sqrt(74+(30*sqrt(5)))) Go
Circumradius of Truncated Dodecahedron
circumradius = (Side/4)*(sqrt(74+(30*sqrt(5)))) Go

Circumradius of Truncated Dodecahedron given volume Formula

circumradius = ((((12*Volume)/(5*(99+47*sqrt(5))))^(1/3))/4)*(sqrt(74+(30*sqrt(5))))
rc = ((((12*V)/(5*(99+47*sqrt(5))))^(1/3))/4)*(sqrt(74+(30*sqrt(5))))

What is a truncated dodecahedron?

In geometry, the truncated dodecahedron is an Archimedean solid. It has 12 regular decagonal faces, 20 regular triangular faces, 60 vertices and 90 edges. This polyhedron can be formed from a dodecahedron by truncating (cutting off) the corners so the pentagon faces become decagons and the corners become triangles . The truncated dodecahedron has five special orthogonal projections, centered, on a vertex, on two types of edges, and two types of faces: hexagonal and pentagonal

How to Calculate Circumradius of Truncated Dodecahedron given volume?

Circumradius of Truncated Dodecahedron given volume calculator uses circumradius = ((((12*Volume)/(5*(99+47*sqrt(5))))^(1/3))/4)*(sqrt(74+(30*sqrt(5)))) to calculate the Circumradius, The Circumradius of Truncated Dodecahedron given volume formula is defined as a straight line connecting center and any point of circumsphere of truncated cuboctahedron ,Where side= truncated dodecahedron edge (a). Circumradius and is denoted by rc symbol.

How to calculate Circumradius of Truncated Dodecahedron given volume using this online calculator? To use this online calculator for Circumradius of Truncated Dodecahedron given volume, enter Volume (V) and hit the calculate button. Here is how the Circumradius of Truncated Dodecahedron given volume calculation can be explained with given input values -> 2.686884 = ((((12*63)/(5*(99+47*sqrt(5))))^(1/3))/4)*(sqrt(74+(30*sqrt(5)))).

FAQ

What is Circumradius of Truncated Dodecahedron given volume?
The Circumradius of Truncated Dodecahedron given volume formula is defined as a straight line connecting center and any point of circumsphere of truncated cuboctahedron ,Where side= truncated dodecahedron edge (a) and is represented as rc = ((((12*V)/(5*(99+47*sqrt(5))))^(1/3))/4)*(sqrt(74+(30*sqrt(5)))) or circumradius = ((((12*Volume)/(5*(99+47*sqrt(5))))^(1/3))/4)*(sqrt(74+(30*sqrt(5)))). Volume is the amount of space that a substance or object occupies or that is enclosed within a container.
How to calculate Circumradius of Truncated Dodecahedron given volume?
The Circumradius of Truncated Dodecahedron given volume formula is defined as a straight line connecting center and any point of circumsphere of truncated cuboctahedron ,Where side= truncated dodecahedron edge (a) is calculated using circumradius = ((((12*Volume)/(5*(99+47*sqrt(5))))^(1/3))/4)*(sqrt(74+(30*sqrt(5)))). To calculate Circumradius of Truncated Dodecahedron given volume, you need Volume (V). With our tool, you need to enter the respective value for Volume 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 Circumradius?
In this formula, Circumradius uses Volume. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • circumradius = (Side/4)*(sqrt(74+(30*sqrt(5))))
  • circumradius = (((sqrt(5)*Edge length)/5)/4)*(sqrt(74+(30*sqrt(5))))
  • circumradius = ((sqrt(Surface Area/(5*(sqrt(3)+(6*(sqrt(5)+2*sqrt(5)))))))/4)*(sqrt(74+(30*sqrt(5))))
  • circumradius = ((((12*Volume)/(5*(99+47*sqrt(5))))^(1/3))/4)*(sqrt(74+(30*sqrt(5))))
  • circumradius = (((4*Midradius)/(5+(3*sqrt(5))))/4)*(sqrt(74+(30*sqrt(5))))
  • circumradius = (((12*(sqrt(3)+(6*(sqrt(5)+(2*sqrt(5))))))/(Surface to Volume Ratio*((99+(47*sqrt(5))))))/4)*(sqrt(74+(30*sqrt(5))))
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