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Midsphere Radius of Cuboctahedron given Volume Formula

GoMidsphere Radius of Cuboctahedron Formula

GoMidsphere Radius of Cuboctahedron given Total Surface Area Formula

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Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere. Check FAQs

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

r_m - Midsphere Radius of Cuboctahedron?V - Volume of Cuboctahedron?

Midsphere Radius of Cuboctahedron given Volume Example

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

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

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

8.6639 = \frac{\sqrt{3}}{2} \cdot {(\frac{3 \cdot 2360}{5 \cdot \sqrt{2}})}^{\frac{1}{3}}

8.6639m = \frac{\sqrt{3}}{2} \cdot {(\frac{3 \cdot 2360m³}{5 \cdot \sqrt{2}})}^{\frac{1}{3}}

8.6639 = \frac{\sqrt{3}}{2} \cdot {(\frac{3 \cdot 2360}{5 \cdot \sqrt{2}})}^{\frac{1}{3}}

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Midsphere Radius of Cuboctahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{\sqrt{3}}{2} \cdot {(\frac{3 \cdot 2360m³}{5 \cdot \sqrt{2}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r m = \frac{\sqrt{3}}{2} \cdot {(\frac{3 \cdot 2360}{5 \cdot \sqrt{2}})}^{\frac{1}{3}}

Next Step Evaluate

∴

r m = 8.66389905401354m

LAST Step Rounding Answer

∴

r m = 8.6639m

Midsphere Radius of Cuboctahedron given Volume Formula Elements

Variables

Functions

Midsphere Radius of Cuboctahedron

Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Cuboctahedron

Volume of Cuboctahedron

Volume of Cuboctahedron is the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Cuboctahedron

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 Cuboctahedron

Go Midsphere Radius of Cuboctahedron

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

Go Midsphere Radius of Cuboctahedron given Total Surface Area

r m = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{TSA}{2 \cdot (3 + \sqrt{3})}}

Go Midsphere Radius of Cuboctahedron given Circumsphere Radius

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

Go Midsphere Radius of Cuboctahedron given Surface to Volume Ratio

r m = \frac{\sqrt{3}}{2} \cdot \frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot R A/V}

How to Evaluate Midsphere Radius of Cuboctahedron given Volume?

Midsphere Radius of Cuboctahedron given Volume evaluator uses Midsphere Radius of Cuboctahedron = sqrt(3)/2*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3) to evaluate the Midsphere Radius of Cuboctahedron, The Midsphere Radius of Cuboctahedron given Volume formula is defined as the radius of the sphere which is tangent to every edge of the Cuboctahedron and is also present in between its insphere and the circumsphere, calculated using volume of Cuboctahedron. Midsphere Radius of Cuboctahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Cuboctahedron given Volume

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

The formula of Midsphere Radius of Cuboctahedron given Volume is expressed as Midsphere Radius of Cuboctahedron = sqrt(3)/2*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3). Here is an example- 8.663899 = sqrt(3)/2*((3*2360)/(5*sqrt(2)))^(1/3).

How to calculate Midsphere Radius of Cuboctahedron given Volume?

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

What are the other ways to Calculate Midsphere Radius of Cuboctahedron?

Here are the different ways to Calculate Midsphere Radius of Cuboctahedron-

Midsphere Radius of Cuboctahedron=sqrt(3)/2*Edge Length of Cuboctahedron
Midsphere Radius of Cuboctahedron=sqrt(3)/2*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
Midsphere Radius of Cuboctahedron=sqrt(3)/2*Circumsphere Radius of Cuboctahedron

Can the Midsphere Radius of Cuboctahedron given Volume be negative?

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

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

Midsphere Radius of Cuboctahedron 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 Cuboctahedron given Volume can be measured.

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