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Midsphere Radius of Rhombic Triacontahedron given Volume Formula

GoMidsphere Radius of Rhombic Triacontahedron Formula

GoMidsphere Radius of Rhombic Triacontahedron given Insphere Radius Formula

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Midsphere Radius of Rhombic Triacontahedron is the radius of the sphere for which all the edges of the Rhombic Triacontahedron become a tangent line on that sphere. Check FAQs

r m = {(\frac{V}{4 \cdot \sqrt{5 + 2 \cdot \sqrt{5}}})}^{\frac{1}{3}} \cdot \frac{5 + \sqrt{5}}{5}

r_m - Midsphere Radius of Rhombic Triacontahedron?V - Volume of Rhombic Triacontahedron?

Midsphere Radius of Rhombic Triacontahedron given Volume Example

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Here is how the Midsphere Radius of Rhombic Triacontahedron given Volume equation looks like with Values.

Here is how the Midsphere Radius of Rhombic Triacontahedron given Volume equation looks like with Units.

Here is how the Midsphere Radius of Rhombic Triacontahedron given Volume equation looks like.

14.4679 = {(\frac{12300}{4 \cdot \sqrt{5 + 2 \cdot \sqrt{5}}})}^{\frac{1}{3}} \cdot \frac{5 + \sqrt{5}}{5}

14.4679m = {(\frac{12300m³}{4 \cdot \sqrt{5 + 2 \cdot \sqrt{5}}})}^{\frac{1}{3}} \cdot \frac{5 + \sqrt{5}}{5}

14.4679 = {(\frac{12300}{4 \cdot \sqrt{5 + 2 \cdot \sqrt{5}}})}^{\frac{1}{3}} \cdot \frac{5 + \sqrt{5}}{5}

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Midsphere Radius of Rhombic Triacontahedron given Volume Solution

Follow our step by step solution on how to calculate Midsphere Radius of Rhombic Triacontahedron given Volume?

FIRST Step Consider the formula

r m = {(\frac{V}{4 \cdot \sqrt{5 + 2 \cdot \sqrt{5}}})}^{\frac{1}{3}} \cdot \frac{5 + \sqrt{5}}{5}

Next Step Substitute values of Variables

∴

r m = {(\frac{12300m³}{4 \cdot \sqrt{5 + 2 \cdot \sqrt{5}}})}^{\frac{1}{3}} \cdot \frac{5 + \sqrt{5}}{5}

Next Step Prepare to Evaluate

∴

r m = {(\frac{12300}{4 \cdot \sqrt{5 + 2 \cdot \sqrt{5}}})}^{\frac{1}{3}} \cdot \frac{5 + \sqrt{5}}{5}

Next Step Evaluate

∴

r m = 14.467928482348m

LAST Step Rounding Answer

∴

r m = 14.4679m

Midsphere Radius of Rhombic Triacontahedron given Volume Formula Elements

Variables

Functions

Midsphere Radius of Rhombic Triacontahedron

Midsphere Radius of Rhombic Triacontahedron is the radius of the sphere for which all the edges of the Rhombic Triacontahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Rhombic Triacontahedron

Volume of Rhombic Triacontahedron

Volume of Rhombic Triacontahedron is the quantity of three dimensional space enclosed by the entire surface of Rhombic Triacontahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Rhombic Triacontahedron

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 Midsphere Radius of Rhombic Triacontahedron

Go Midsphere Radius of Rhombic Triacontahedron

r m = \frac{l e}{5} \cdot (5 + \sqrt{5})

Go Midsphere Radius of Rhombic Triacontahedron given Insphere Radius

r m = (\frac{r i}{\sqrt{\frac{5 + 2 \cdot \sqrt{5}}{5}}}) \cdot \frac{5 + \sqrt{5}}{5}

Go Midsphere Radius of Rhombic Triacontahedron given Total Surface Area

r m = \sqrt{\frac{TSA}{12 \cdot \sqrt{5}}} \cdot \frac{5 + \sqrt{5}}{5}

How to Evaluate Midsphere Radius of Rhombic Triacontahedron given Volume?

Midsphere Radius of Rhombic Triacontahedron given Volume evaluator uses Midsphere Radius of Rhombic Triacontahedron = (Volume of Rhombic Triacontahedron/(4*sqrt(5+2*sqrt(5))))^(1/3)*(5+sqrt(5))/5 to evaluate the Midsphere Radius of Rhombic Triacontahedron, Midsphere Radius of Rhombic Triacontahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Rhombic Triacontahedron become a tangent line on that sphere, calculated using volume of Rhombic Triacontahedron. Midsphere Radius of Rhombic Triacontahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Rhombic Triacontahedron given Volume using this online evaluator? To use this online evaluator for Midsphere Radius of Rhombic Triacontahedron given Volume, enter Volume of Rhombic Triacontahedron (V) and hit the calculate button.

FAQs on Midsphere Radius of Rhombic Triacontahedron given Volume

What is the formula to find Midsphere Radius of Rhombic Triacontahedron given Volume?

The formula of Midsphere Radius of Rhombic Triacontahedron given Volume is expressed as Midsphere Radius of Rhombic Triacontahedron = (Volume of Rhombic Triacontahedron/(4*sqrt(5+2*sqrt(5))))^(1/3)*(5+sqrt(5))/5. Here is an example- 14.46793 = (12300/(4*sqrt(5+2*sqrt(5))))^(1/3)*(5+sqrt(5))/5.

How to calculate Midsphere Radius of Rhombic Triacontahedron given Volume?

With Volume of Rhombic Triacontahedron (V) we can find Midsphere Radius of Rhombic Triacontahedron given Volume using the formula - Midsphere Radius of Rhombic Triacontahedron = (Volume of Rhombic Triacontahedron/(4*sqrt(5+2*sqrt(5))))^(1/3)*(5+sqrt(5))/5. This formula also uses Square Root Function function(s).

What are the other ways to Calculate Midsphere Radius of Rhombic Triacontahedron?

Here are the different ways to Calculate Midsphere Radius of Rhombic Triacontahedron-

Midsphere Radius of Rhombic Triacontahedron=Edge Length of Rhombic Triacontahedron/5*(5+sqrt(5))
Midsphere Radius of Rhombic Triacontahedron=(Insphere Radius of Rhombic Triacontahedron/sqrt((5+2*sqrt(5))/5))*(5+sqrt(5))/5
Midsphere Radius of Rhombic Triacontahedron=sqrt(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))*(5+sqrt(5))/5

Can the Midsphere Radius of Rhombic Triacontahedron given Volume be negative?

No, the Midsphere Radius of Rhombic Triacontahedron given Volume, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Rhombic Triacontahedron given Volume?

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

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