Circumsphere Radius of Truncated Rhombohedron given Volume Calculator

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

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

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Circumsphere Radius of Truncated Rhombohedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(((3*Volume of Truncated Rhombohedron)/(5*(sqrt(sqrt(5)-2))))^(1/3))
r_c = ((sqrt(14-(2*sqrt(5))))/4)*(((3*V)/(5*(sqrt(sqrt(5)-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 Truncated Rhombohedron - (Measured in Meter) - Circumsphere Radius of Truncated Rhombohedron is the radius of the sphere that contains the Truncated Rhombohedron in such a way that all the vertices are lying on the sphere.
Volume of Truncated Rhombohedron - (Measured in Cubic Meter) - Volume of Truncated Rhombohedron is the total quantity of three-dimensional space enclosed by the surface of the Truncated Rhombohedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Truncated Rhombohedron: 14500 Cubic Meter --> 14500 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = ((sqrt(14-(2*sqrt(5))))/4)*(((3*V)/(5*(sqrt(sqrt(5)-2))))^(1/3)) --> ((sqrt(14-(2*sqrt(5))))/4)*(((3*14500)/(5*(sqrt(sqrt(5)-2))))^(1/3))

Evaluating ... ...

r_c = 20.1885295911478

STEP 3: Convert Result to Output's Unit

20.1885295911478 Meter --> No Conversion Required

FINAL ANSWER

20.1885295911478 ≈ 20.18853 Meter <-- Circumsphere Radius of Truncated Rhombohedron

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< Radius of Truncated Rhombohedron Calculators

Circumsphere Radius of Truncated Rhombohedron given Total Surface Area

LaTeX Go Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((2*Total Surface Area of Truncated Rhombohedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))))

Circumsphere Radius of Truncated Rhombohedron given Triangular Edge Length

LaTeX Go Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))

Circumsphere Radius of Truncated Rhombohedron

LaTeX Go Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(2*Edge Length of Truncated Rhombohedron/(3-sqrt(5)))

Circumsphere Radius of Truncated Rhombohedron given Rhombohedral Edge Length

LaTeX Go Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*Rhombohedral Edge Length of Truncated Rhombohedron

Circumsphere Radius of Truncated Rhombohedron given Volume Formula

LaTeX Go

What is Truncated Rhombohedron?

The Truncated Rhombohedron is a convex, octahedral polyhedron. It is made up of six equal, irregular, but axially symmetrical pentagons and two equilateral triangles. It has twelve corners; three faces meet at each corner (a triangle and two pentagons or three pentagons). All corner points lie on the same sphere. Opposite faces are parallel. In the stitch, the body stands on a triangular surface, the pentagons virtually form the surface. The number of edges is eighteen.

How to Calculate Circumsphere Radius of Truncated Rhombohedron given Volume?

Circumsphere Radius of Truncated Rhombohedron given Volume calculator uses Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(((3*Volume of Truncated Rhombohedron)/(5*(sqrt(sqrt(5)-2))))^(1/3)) to calculate the Circumsphere Radius of Truncated Rhombohedron, Circumsphere Radius of Truncated Rhombohedron given Volume formula is defined as the radius of the sphere that contains the Truncated Rhombohedron in such a way that all the vertices are lying on the sphere, calculated using its volume. Circumsphere Radius of Truncated Rhombohedron is denoted by r_c symbol.

How to calculate Circumsphere Radius of Truncated Rhombohedron given Volume using this online calculator? To use this online calculator for Circumsphere Radius of Truncated Rhombohedron given Volume, enter Volume of Truncated Rhombohedron (V) and hit the calculate button. Here is how the Circumsphere Radius of Truncated Rhombohedron given Volume calculation can be explained with given input values -> 20.18853 = ((sqrt(14-(2*sqrt(5))))/4)*(((3*14500)/(5*(sqrt(sqrt(5)-2))))^(1/3)).

FAQ

What is Circumsphere Radius of Truncated Rhombohedron given Volume?

Circumsphere Radius of Truncated Rhombohedron given Volume formula is defined as the radius of the sphere that contains the Truncated Rhombohedron in such a way that all the vertices are lying on the sphere, calculated using its volume and is represented as r_c = ((sqrt(14-(2*sqrt(5))))/4)*(((3*V)/(5*(sqrt(sqrt(5)-2))))^(1/3)) or Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(((3*Volume of Truncated Rhombohedron)/(5*(sqrt(sqrt(5)-2))))^(1/3)). Volume of Truncated Rhombohedron is the total quantity of three-dimensional space enclosed by the surface of the Truncated Rhombohedron.

How to calculate Circumsphere Radius of Truncated Rhombohedron given Volume?

Circumsphere Radius of Truncated Rhombohedron given Volume formula is defined as the radius of the sphere that contains the Truncated Rhombohedron in such a way that all the vertices are lying on the sphere, calculated using its volume is calculated using Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(((3*Volume of Truncated Rhombohedron)/(5*(sqrt(sqrt(5)-2))))^(1/3)). To calculate Circumsphere Radius of Truncated Rhombohedron given Volume, you need Volume of Truncated Rhombohedron (V). With our tool, you need to enter the respective value for Volume of Truncated Rhombohedron 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 Truncated Rhombohedron?

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

Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*Rhombohedral Edge Length of Truncated Rhombohedron
Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(2*Edge Length of Truncated Rhombohedron/(3-sqrt(5)))
Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))

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