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Midsphere Radius of Disheptahedron given Volume Formula

GoMidsphere Radius of Disheptahedron Formula

GoMidsphere Radius of Disheptahedron given Total Surface Area Formula

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Midsphere Radius of Disheptahedron is the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere. 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 Disheptahedron?V - Volume of Disheptahedron?

Midsphere Radius of Disheptahedron given Volume Example

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

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

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

8.7126 = \frac{\sqrt{3}}{2} \cdot {(\frac{3 \cdot 2400}{5 \cdot \sqrt{2}})}^{\frac{1}{3}}

8.7126m = \frac{\sqrt{3}}{2} \cdot {(\frac{3 \cdot 2400m³}{5 \cdot \sqrt{2}})}^{\frac{1}{3}}

8.7126 = \frac{\sqrt{3}}{2} \cdot {(\frac{3 \cdot 2400}{5 \cdot \sqrt{2}})}^{\frac{1}{3}}

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Midsphere Radius of Disheptahedron given Volume Solution

Follow our step by step solution on how to calculate Midsphere Radius of Disheptahedron 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 2400m³}{5 \cdot \sqrt{2}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r m = \frac{\sqrt{3}}{2} \cdot {(\frac{3 \cdot 2400}{5 \cdot \sqrt{2}})}^{\frac{1}{3}}

Next Step Evaluate

∴

r m = 8.71257366552257m

LAST Step Rounding Answer

∴

r m = 8.7126m

Midsphere Radius of Disheptahedron given Volume Formula Elements

Variables

Functions

Midsphere Radius of Disheptahedron

Midsphere Radius of Disheptahedron is the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Disheptahedron

Volume of Disheptahedron

Volume of Disheptahedron is the total quantity of three-dimensional space enclosed by the surface of the Disheptahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Disheptahedron

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 Disheptahedron

Go Midsphere Radius of Disheptahedron

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

Go Midsphere Radius of Disheptahedron given Total Surface Area

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

Go Midsphere Radius of Disheptahedron given Circumsphere Radius

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

Go Midsphere Radius of Disheptahedron given Surface to Volume Ratio

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

How to Evaluate Midsphere Radius of Disheptahedron given Volume?

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

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

FAQs on Midsphere Radius of Disheptahedron given Volume

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

The formula of Midsphere Radius of Disheptahedron given Volume is expressed as Midsphere Radius of Disheptahedron = sqrt(3)/2*((3*Volume of Disheptahedron)/(5*sqrt(2)))^(1/3). Here is an example- 8.712574 = sqrt(3)/2*((3*2400)/(5*sqrt(2)))^(1/3).

How to calculate Midsphere Radius of Disheptahedron given Volume?

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

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

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

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

Can the Midsphere Radius of Disheptahedron given Volume be negative?

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

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

Midsphere Radius of Disheptahedron 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 Disheptahedron given Volume can be measured.

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