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Midsphere Radius of Rhombic Dodecahedron given Volume Formula

GoMidsphere Radius of Rhombic Dodecahedron Formula

GoMidsphere Radius of Rhombic Dodecahedron given Surface to Volume Ratio Formula

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

r m = \frac{2 \cdot \sqrt{2}}{3} \cdot {(\frac{9 \cdot V}{16 \cdot \sqrt{3}})}^{\frac{1}{3}}

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

Midsphere Radius of Rhombic Dodecahedron given Volume Example

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

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

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

9.4493 = \frac{2 \cdot \sqrt{2}}{3} \cdot {(\frac{9 \cdot 3100}{16 \cdot \sqrt{3}})}^{\frac{1}{3}}

9.4493m = \frac{2 \cdot \sqrt{2}}{3} \cdot {(\frac{9 \cdot 3100m³}{16 \cdot \sqrt{3}})}^{\frac{1}{3}}

9.4493 = \frac{2 \cdot \sqrt{2}}{3} \cdot {(\frac{9 \cdot 3100}{16 \cdot \sqrt{3}})}^{\frac{1}{3}}

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Midsphere Radius of Rhombic Dodecahedron given Volume Solution

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

FIRST Step Consider the formula

r m = \frac{2 \cdot \sqrt{2}}{3} \cdot {(\frac{9 \cdot V}{16 \cdot \sqrt{3}})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r m = \frac{2 \cdot \sqrt{2}}{3} \cdot {(\frac{9 \cdot 3100m³}{16 \cdot \sqrt{3}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r m = \frac{2 \cdot \sqrt{2}}{3} \cdot {(\frac{9 \cdot 3100}{16 \cdot \sqrt{3}})}^{\frac{1}{3}}

Next Step Evaluate

∴

r m = 9.44927024636558m

LAST Step Rounding Answer

∴

r m = 9.4493m

Midsphere Radius of Rhombic Dodecahedron given Volume Formula Elements

Variables

Functions

Midsphere Radius of Rhombic Dodecahedron

Midsphere Radius of Rhombic Dodecahedron is the radius of the sphere for which all the edges of the Rhombic Dodecahedron 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 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 Midsphere Radius of Rhombic Dodecahedron

Go Midsphere Radius of Rhombic Dodecahedron

r m = \frac{2 \cdot \sqrt{2}}{3} \cdot l e

Go Midsphere Radius of Rhombic Dodecahedron given Surface to Volume Ratio

r m = \frac{6}{\sqrt{3}} \cdot \frac{1}{R A/V}

Go Midsphere Radius of Rhombic Dodecahedron given Insphere Radius

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

Go Midsphere Radius of Rhombic Dodecahedron given Total Surface Area

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

How to Evaluate Midsphere Radius of Rhombic Dodecahedron given Volume?

Midsphere Radius of Rhombic Dodecahedron given Volume evaluator uses Midsphere Radius of Rhombic Dodecahedron = (2*sqrt(2))/3*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3) to evaluate the Midsphere Radius of Rhombic Dodecahedron, Midsphere Radius of Rhombic Dodecahedron given Volume formula is defined as the radius of the sphere for which all the edges of the Rhombic Dodecahedron become a tangent line on that sphere, calculated using volume of Rhombic Dodecahedron. Midsphere Radius of Rhombic Dodecahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Rhombic Dodecahedron given Volume

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

The formula of Midsphere Radius of Rhombic Dodecahedron given Volume is expressed as Midsphere Radius of Rhombic Dodecahedron = (2*sqrt(2))/3*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3). Here is an example- 9.44927 = (2*sqrt(2))/3*((9*3100)/(16*sqrt(3)))^(1/3).

How to calculate Midsphere Radius of Rhombic Dodecahedron given Volume?

With Volume of Rhombic Dodecahedron (V) we can find Midsphere Radius of Rhombic Dodecahedron given Volume using the formula - Midsphere Radius of Rhombic Dodecahedron = (2*sqrt(2))/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 Midsphere Radius of Rhombic Dodecahedron?

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

Midsphere Radius of Rhombic Dodecahedron=(2*sqrt(2))/3*Edge Length of Rhombic Dodecahedron
Midsphere Radius of Rhombic Dodecahedron=6/sqrt(3)*1/Surface to Volume Ratio of Rhombic Dodecahedron
Midsphere Radius of Rhombic Dodecahedron=2/sqrt(3)*Insphere Radius of Rhombic Dodecahedron

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

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

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

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

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