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Circumsphere Radius of Truncated Rhombohedron given Volume Formula

GoCircumsphere Radius of Truncated Rhombohedron given Rhombohedral Edge Length Formula

GoCircumsphere Radius of Truncated Rhombohedron Formula

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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. Check FAQs

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{3 \cdot V}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{1}{3}})

r_c - Circumsphere Radius of Truncated Rhombohedron?V - Volume of Truncated Rhombohedron?

Circumsphere Radius of Truncated Rhombohedron given Volume Example

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Here is how the Circumsphere Radius of Truncated Rhombohedron given Volume equation looks like with Values.

Here is how the Circumsphere Radius of Truncated Rhombohedron given Volume equation looks like with Units.

Here is how the Circumsphere Radius of Truncated Rhombohedron given Volume equation looks like.

20.1885 = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{3 \cdot 14500}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{1}{3}})

20.1885m = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{3 \cdot 14500m³}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{1}{3}})

20.1885 = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{3 \cdot 14500}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{1}{3}})

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Circumsphere Radius of Truncated Rhombohedron given Volume Solution

Follow our step by step solution on how to calculate Circumsphere Radius of Truncated Rhombohedron given Volume?

FIRST Step Consider the formula

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{3 \cdot V}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{1}{3}})

Next Step Substitute values of Variables

∴

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{3 \cdot 14500m³}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{3 \cdot 14500}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{1}{3}})

Next Step Evaluate

∴

r c = 20.1885295911478m

LAST Step Rounding Answer

∴

r c = 20.1885m

Circumsphere Radius of Truncated Rhombohedron given Volume Formula Elements

Variables

Functions

Circumsphere Radius of Truncated Rhombohedron

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.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Truncated Rhombohedron

Volume of Truncated Rhombohedron

Volume of Truncated Rhombohedron is the total quantity of three-dimensional space enclosed by the surface of the Truncated Rhombohedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Truncated Rhombohedron

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.

Syntax: sqrt(Number)

Other Formulas to find Circumsphere Radius of Truncated Rhombohedron

Go Circumsphere Radius of Truncated Rhombohedron given Rhombohedral Edge Length

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot l e(Rhombohedron)

Go Circumsphere Radius of Truncated Rhombohedron

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (2 \cdot \frac{l e}{3 - \sqrt{5}})

Go Circumsphere Radius of Truncated Rhombohedron given Triangular Edge Length

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\frac{l e(Triangle)}{\sqrt{5 - (2 \cdot \sqrt{5})}})

Go Circumsphere Radius of Truncated Rhombohedron given Total Surface Area

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\sqrt{\frac{2 \cdot TSA}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}})

How to Evaluate Circumsphere Radius of Truncated Rhombohedron given Volume?

Circumsphere Radius of Truncated Rhombohedron given Volume evaluator 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 evaluate 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 evaluate Circumsphere Radius of Truncated Rhombohedron given Volume using this online evaluator? To use this online evaluator for Circumsphere Radius of Truncated Rhombohedron given Volume, enter Volume of Truncated Rhombohedron (V) and hit the calculate button.

FAQs on Circumsphere Radius of Truncated Rhombohedron given Volume

What is the formula to find Circumsphere Radius of Truncated Rhombohedron given Volume?

The formula of Circumsphere Radius of Truncated Rhombohedron given Volume is expressed as Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(((3*Volume of Truncated Rhombohedron)/(5*(sqrt(sqrt(5)-2))))^(1/3)). Here is an example- 20.18853 = ((sqrt(14-(2*sqrt(5))))/4)*(((3*14500)/(5*(sqrt(sqrt(5)-2))))^(1/3)).

How to calculate Circumsphere Radius of Truncated Rhombohedron given Volume?

With Volume of Truncated Rhombohedron (V) we can find Circumsphere Radius of Truncated Rhombohedron given Volume using the formula - Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(((3*Volume of Truncated Rhombohedron)/(5*(sqrt(sqrt(5)-2))))^(1/3)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumsphere Radius of Truncated Rhombohedron?

Here are the different ways to Calculate Circumsphere Radius of Truncated Rhombohedron-

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)))))

Can the Circumsphere Radius of Truncated Rhombohedron given Volume be negative?

No, the Circumsphere Radius of Truncated Rhombohedron given Volume, measured in Length cannot be negative.

Which unit is used to measure Circumsphere Radius of Truncated Rhombohedron given Volume?

Circumsphere Radius of Truncated Rhombohedron given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Circumsphere Radius of Truncated Rhombohedron given Volume can be measured.

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