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Insphere Radius of Rhombic Dodecahedron given Volume Formula

GoInsphere Radius of Rhombic Dodecahedron Formula

GoInsphere Radius of Rhombic Dodecahedron given Total Surface Area Formula

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

r i = \frac{\sqrt{6}}{3} \cdot {(\frac{9 \cdot V}{16 \cdot \sqrt{3}})}^{\frac{1}{3}}

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

Insphere Radius of Rhombic Dodecahedron given Volume Example

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

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

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

8.1833 = \frac{\sqrt{6}}{3} \cdot {(\frac{9 \cdot 3100}{16 \cdot \sqrt{3}})}^{\frac{1}{3}}

8.1833m = \frac{\sqrt{6}}{3} \cdot {(\frac{9 \cdot 3100m³}{16 \cdot \sqrt{3}})}^{\frac{1}{3}}

8.1833 = \frac{\sqrt{6}}{3} \cdot {(\frac{9 \cdot 3100}{16 \cdot \sqrt{3}})}^{\frac{1}{3}}

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Insphere Radius of Rhombic Dodecahedron given Volume Solution

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

FIRST Step Consider the formula

r i = \frac{\sqrt{6}}{3} \cdot {(\frac{9 \cdot V}{16 \cdot \sqrt{3}})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r i = \frac{\sqrt{6}}{3} \cdot {(\frac{9 \cdot 3100m³}{16 \cdot \sqrt{3}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r i = \frac{\sqrt{6}}{3} \cdot {(\frac{9 \cdot 3100}{16 \cdot \sqrt{3}})}^{\frac{1}{3}}

Next Step Evaluate

∴

r i = 8.18330808057703m

LAST Step Rounding Answer

∴

r i = 8.1833m

Insphere Radius of Rhombic Dodecahedron given Volume Formula Elements

Variables

Functions

Insphere Radius of Rhombic Dodecahedron

Insphere Radius of Rhombic Dodecahedron is the radius of the sphere that is contained by the Rhombic Dodecahedron 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 Dodecahedron

Volume of Rhombic Dodecahedron

Volume of Rhombic Dodecahedron is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Rhombic Dodecahedron

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 Dodecahedron

Go Insphere Radius of Rhombic Dodecahedron

r i = \frac{\sqrt{6}}{3} \cdot l e

Go Insphere Radius of Rhombic Dodecahedron given Total Surface Area

r i = \frac{\sqrt{6}}{3} \cdot \sqrt{\frac{TSA}{8 \cdot \sqrt{2}}}

Go Insphere Radius of Rhombic Dodecahedron given Midsphere Radius

r i = \frac{\sqrt{3}}{2} \cdot r m

Go Insphere Radius of Rhombic Dodecahedron given Surface to Volume Ratio

r i = \frac{3}{R A/V}

How to Evaluate Insphere Radius of Rhombic Dodecahedron given Volume?

Insphere Radius of Rhombic Dodecahedron given Volume evaluator uses Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3) to evaluate the Insphere Radius of Rhombic Dodecahedron, Insphere Radius of Rhombic Dodecahedron given Volume formula is defined as the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere, calculated using volume of Rhombic Dodecahedron. Insphere Radius of Rhombic Dodecahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Rhombic Dodecahedron given Volume

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

The formula of Insphere Radius of Rhombic Dodecahedron given Volume is expressed as Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3). Here is an example- 8.183308 = sqrt(6)/3*((9*3100)/(16*sqrt(3)))^(1/3).

How to calculate Insphere Radius of Rhombic Dodecahedron given Volume?

With Volume of Rhombic Dodecahedron (V) we can find Insphere Radius of Rhombic Dodecahedron given Volume using the formula - Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3). This formula also uses Square Root (sqrt) function(s).

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

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

Insphere Radius of Rhombic Dodecahedron=sqrt(6)/3*Edge Length of Rhombic Dodecahedron
Insphere Radius of Rhombic Dodecahedron=sqrt(6)/3*sqrt(Total Surface Area of Rhombic Dodecahedron/(8*sqrt(2)))
Insphere Radius of Rhombic Dodecahedron=sqrt(3)/2*Midsphere Radius of Rhombic Dodecahedron

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

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

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

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

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