Credits

Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 1000+ more calculators!
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has verified this Calculator and 1000+ more calculators!

Circumradius of Great Stellated Dodecahedron given volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*(((4*Volume)/(5*(3+sqrt(5))))^(1/3))
rc = ((sqrt(3)*(3+sqrt(5)))/4)*(((4*V)/(5*(3+sqrt(5))))^(1/3))
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 = ((sqrt(3)*(3+sqrt(5)))/4)*(((4*V)/(5*(3+sqrt(5))))^(1/3)) --> ((sqrt(3)*(3+sqrt(5)))/4)*(((4*63)/(5*(3+sqrt(5))))^(1/3))
Evaluating ... ...
rc = 4.82296746546619
STEP 3: Convert Result to Output's Unit
4.82296746546619 Meter --> No Conversion Required
FINAL ANSWER
4.82296746546619 Meter <-- Circumradius
(Calculation completed in 00.000 seconds)

7 Circumradius of Great Stellated Dodecahedron Calculators

Circumradius of Great Stellated Dodecahedron given surface to volume ratio
circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(3+sqrt(5))*Surface to Volume Ratio)) Go
Circumradius of Great Stellated Dodecahedron given surface area
circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*(sqrt(Surface Area/(15*(sqrt(5+2*sqrt(5)))))) Go
Circumradius of Great Stellated Dodecahedron given pyramid height
circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*((6*Height)/(sqrt(3)*(3+sqrt(5)))) Go
Circumradius of Great Stellated Dodecahedron given volume
circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*(((4*Volume)/(5*(3+sqrt(5))))^(1/3)) Go
Circumradius of Great Stellated Dodecahedron given ridge length
circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*((2*Ridge Length 1)/(1+sqrt(5))) Go
Circumradius of Great Stellated Dodecahedron given pentagram chord
circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*(Chord Length/(2+sqrt(5))) Go
Circumradius of Great Stellated Dodecahedron given edge length
circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*Side A Go

Circumradius of Great Stellated Dodecahedron given volume Formula

circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*(((4*Volume)/(5*(3+sqrt(5))))^(1/3))
rc = ((sqrt(3)*(3+sqrt(5)))/4)*(((4*V)/(5*(3+sqrt(5))))^(1/3))

What is Great Stellated Dodecahedron?

In geometry, the great stellated dodecahedron is a Kepler-Poinsot polyhedron, with Schläfli symbol {​⁵⁄₂,3}. It is one of four nonconvex regular polyhedra. It is composed of 12 intersecting pentagrammic faces, with three pentagrams meeting at each vertex.

How to Calculate Circumradius of Great Stellated Dodecahedron given volume?

Circumradius of Great Stellated Dodecahedron given volume calculator uses circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*(((4*Volume)/(5*(3+sqrt(5))))^(1/3)) to calculate the Circumradius, Circumradius of Great Stellated Dodecahedron given volume formula is defined as a straight line connecting circumcenter and any point on circumsphere of Great Stellated Dodecahedron. Circumradius and is denoted by rc symbol.

How to calculate Circumradius of Great Stellated Dodecahedron given volume using this online calculator? To use this online calculator for Circumradius of Great Stellated Dodecahedron given volume, enter Volume (V) and hit the calculate button. Here is how the Circumradius of Great Stellated Dodecahedron given volume calculation can be explained with given input values -> 4.822967 = ((sqrt(3)*(3+sqrt(5)))/4)*(((4*63)/(5*(3+sqrt(5))))^(1/3)).

FAQ

What is Circumradius of Great Stellated Dodecahedron given volume?
Circumradius of Great Stellated Dodecahedron given volume formula is defined as a straight line connecting circumcenter and any point on circumsphere of Great Stellated Dodecahedron and is represented as rc = ((sqrt(3)*(3+sqrt(5)))/4)*(((4*V)/(5*(3+sqrt(5))))^(1/3)) or circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*(((4*Volume)/(5*(3+sqrt(5))))^(1/3)). Volume is the amount of space that a substance or object occupies or that is enclosed within a container.
How to calculate Circumradius of Great Stellated Dodecahedron given volume?
Circumradius of Great Stellated Dodecahedron given volume formula is defined as a straight line connecting circumcenter and any point on circumsphere of Great Stellated Dodecahedron is calculated using circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*(((4*Volume)/(5*(3+sqrt(5))))^(1/3)). To calculate Circumradius of Great Stellated 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 7 other way(s) to calculate the same, which is/are as follows -
  • circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*Side A
  • circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*((2*Ridge Length 1)/(1+sqrt(5)))
  • circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*(Chord Length/(2+sqrt(5)))
  • circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*((6*Height)/(sqrt(3)*(3+sqrt(5))))
  • circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*(sqrt(Surface Area/(15*(sqrt(5+2*sqrt(5))))))
  • circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*(((4*Volume)/(5*(3+sqrt(5))))^(1/3))
  • circumradius = ((sqrt(3)*(3+sqrt(5)))/4)*((15*(sqrt(5+2*sqrt(5))))/((5/4)*(3+sqrt(5))*Surface to Volume Ratio))
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!