Circumsphere Radius of Rhombicuboctahedron given Volume Calculator

✖Volume of Rhombicuboctahedron is the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron.ⓘ Volume of Rhombicuboctahedron [V]

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✖Circumsphere Radius of Rhombicuboctahedron is the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere.ⓘ Circumsphere Radius of Rhombicuboctahedron given Volume [r_c]

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Circumsphere Radius of Rhombicuboctahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)
r_c = sqrt(5+(2*sqrt(2)))/2*((3*V)/(2*(6+(5*sqrt(2)))))^(1/3)
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Circumsphere Radius of Rhombicuboctahedron - (Measured in Meter) - Circumsphere Radius of Rhombicuboctahedron is the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere.
Volume of Rhombicuboctahedron - (Measured in Cubic Meter) - Volume of Rhombicuboctahedron is the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Rhombicuboctahedron: 8700 Cubic Meter --> 8700 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt(5+(2*sqrt(2)))/2*((3*V)/(2*(6+(5*sqrt(2)))))^(1/3) --> sqrt(5+(2*sqrt(2)))/2*((3*8700)/(2*(6+(5*sqrt(2)))))^(1/3)

Evaluating ... ...

r_c = 13.9821430863968

STEP 3: Convert Result to Output's Unit

13.9821430863968 Meter --> No Conversion Required

FINAL ANSWER

13.9821430863968 ≈ 13.98214 Meter <-- Circumsphere Radius of Rhombicuboctahedron

(Calculation completed in 00.004 seconds)

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< Circumsphere Radius of Rhombicuboctahedron Calculators

Circumsphere Radius of Rhombicuboctahedron given Total Surface Area

LaTeX Go Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))

Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius

LaTeX Go Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))*Midsphere Radius of Rhombicuboctahedron/(sqrt(4+(2*sqrt(2))))

Circumsphere Radius of Rhombicuboctahedron given Volume

LaTeX Go Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)

Circumsphere Radius of Rhombicuboctahedron

LaTeX Go Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron

Circumsphere Radius of Rhombicuboctahedron given Volume Formula

LaTeX Go

Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)
r_c = sqrt(5+(2*sqrt(2)))/2*((3*V)/(2*(6+(5*sqrt(2)))))^(1/3)

What is a Rhombicuboctahedron?

In geometry, the Rhombicuboctahedron, or small Rhombicuboctahedron, is an Archimedean solid with 8 triangular and 18 square faces. There are 24 identical vertices, with one triangle and three squares meeting at each one. The polyhedron has octahedral symmetry, like the cube and octahedron. Its dual is called the deltoidal icositetrahedron or trapezoidal icositetrahedron, although its faces are not really true trapezoids.

How to Calculate Circumsphere Radius of Rhombicuboctahedron given Volume?

Circumsphere Radius of Rhombicuboctahedron given Volume calculator uses Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3) to calculate the Circumsphere Radius of Rhombicuboctahedron, Circumsphere Radius of Rhombicuboctahedron given Volume formula is defined as the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere, and calculated using the volume of the Rhombicuboctahedron. Circumsphere Radius of Rhombicuboctahedron is denoted by r_c symbol.

How to calculate Circumsphere Radius of Rhombicuboctahedron given Volume using this online calculator? To use this online calculator for Circumsphere Radius of Rhombicuboctahedron given Volume, enter Volume of Rhombicuboctahedron (V) and hit the calculate button. Here is how the Circumsphere Radius of Rhombicuboctahedron given Volume calculation can be explained with given input values -> 13.98214 = sqrt(5+(2*sqrt(2)))/2*((3*8700)/(2*(6+(5*sqrt(2)))))^(1/3).

FAQ

What is Circumsphere Radius of Rhombicuboctahedron given Volume?

Circumsphere Radius of Rhombicuboctahedron given Volume formula is defined as the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere, and calculated using the volume of the Rhombicuboctahedron and is represented as r_c = sqrt(5+(2*sqrt(2)))/2*((3*V)/(2*(6+(5*sqrt(2)))))^(1/3) or Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3). Volume of Rhombicuboctahedron is the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron.

How to calculate Circumsphere Radius of Rhombicuboctahedron given Volume?

Circumsphere Radius of Rhombicuboctahedron given Volume formula is defined as the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere, and calculated using the volume of the Rhombicuboctahedron is calculated using Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3). To calculate Circumsphere Radius of Rhombicuboctahedron given Volume, you need Volume of Rhombicuboctahedron (V). With our tool, you need to enter the respective value for Volume of Rhombicuboctahedron 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 Rhombicuboctahedron?

In this formula, Circumsphere Radius of Rhombicuboctahedron uses Volume of Rhombicuboctahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron
Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))
Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))*Midsphere Radius of Rhombicuboctahedron/(sqrt(4+(2*sqrt(2))))

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