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Insphere Radius of Rhombic Triacontahedron given Volume Formula

GoInsphere Radius of Rhombic Triacontahedron Formula

GoInsphere Radius of Rhombic Triacontahedron given Midsphere Radius Formula

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Insphere Radius of Rhombic Triacontahedron is the radius of the sphere that is contained by the Rhombic Triacontahedron in such a way that all the faces are just touching the sphere. Check FAQs

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

r_i - Insphere Radius of Rhombic Triacontahedron?V - Volume of Rhombic Triacontahedron?

Insphere Radius of Rhombic Triacontahedron given Volume Example

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

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

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

13.7598 = {(\frac{12300}{4 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}})}^{\frac{1}{3}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}

13.7598m = {(\frac{12300m³}{4 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}})}^{\frac{1}{3}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}

13.7598 = {(\frac{12300}{4 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}})}^{\frac{1}{3}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}

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Insphere Radius of Rhombic Triacontahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r i = 13.7598176604293m

LAST Step Rounding Answer

∴

r i = 13.7598m

Insphere Radius of Rhombic Triacontahedron given Volume Formula Elements

Variables

Functions

Insphere Radius of Rhombic Triacontahedron

Insphere Radius of Rhombic Triacontahedron is the radius of the sphere that is contained by the Rhombic Triacontahedron in such a way that all the faces are just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere 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 Insphere Radius of Rhombic Triacontahedron

Go Insphere Radius of Rhombic Triacontahedron

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

Go Insphere Radius of Rhombic Triacontahedron given Midsphere Radius

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

Go Insphere Radius of Rhombic Triacontahedron given Total Surface Area

r i = \sqrt{\frac{TSA}{12 \cdot \sqrt{5}}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}

How to Evaluate Insphere Radius of Rhombic Triacontahedron given Volume?

Insphere Radius of Rhombic Triacontahedron given Volume evaluator uses Insphere Radius of Rhombic Triacontahedron = (Volume of Rhombic Triacontahedron/(4*sqrt(5+(2*sqrt(5)))))^(1/3)*sqrt((5+(2*sqrt(5)))/5) to evaluate the Insphere Radius of Rhombic Triacontahedron, Insphere Radius of Rhombic Triacontahedron given Volume formula is defined as the radius of the sphere that is contained by the Rhombic Triacontahedron in such a way that all the faces are just touching the sphere, calculated using volume of Rhombic Triacontahedron. Insphere Radius of Rhombic Triacontahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Rhombic Triacontahedron given Volume

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

The formula of Insphere Radius of Rhombic Triacontahedron given Volume is expressed as Insphere Radius of Rhombic Triacontahedron = (Volume of Rhombic Triacontahedron/(4*sqrt(5+(2*sqrt(5)))))^(1/3)*sqrt((5+(2*sqrt(5)))/5). Here is an example- 13.75982 = (12300/(4*sqrt(5+(2*sqrt(5)))))^(1/3)*sqrt((5+(2*sqrt(5)))/5).

How to calculate Insphere Radius of Rhombic Triacontahedron given Volume?

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

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

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

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

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

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

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

Insphere 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 Insphere Radius of Rhombic Triacontahedron given Volume can be measured.

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