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Midsphere Radius of Disheptahedron given Surface to Volume Ratio 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{3 \cdot \sqrt{3} \cdot (3 + \sqrt{3})}{5 \cdot \sqrt{2} \cdot R A/V}

r_m - Midsphere Radius of Disheptahedron?R_A/V - Surface to Volume Ratio of Disheptahedron?

Midsphere Radius of Disheptahedron given Surface to Volume Ratio Example

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

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

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

8.6933 = \frac{3 \cdot \sqrt{3} \cdot (3 + \sqrt{3})}{5 \cdot \sqrt{2} \cdot 0.4}

8.6933m = \frac{3 \cdot \sqrt{3} \cdot (3 + \sqrt{3})}{5 \cdot \sqrt{2} \cdot 0.4m⁻¹}

8.6933 = \frac{3 \cdot \sqrt{3} \cdot (3 + \sqrt{3})}{5 \cdot \sqrt{2} \cdot 0.4}

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Midsphere Radius of Disheptahedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Midsphere Radius of Disheptahedron given Surface to Volume Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{3 \cdot \sqrt{3} \cdot (3 + \sqrt{3})}{5 \cdot \sqrt{2} \cdot 0.4m⁻¹}

Next Step Prepare to Evaluate

∴

r m = \frac{3 \cdot \sqrt{3} \cdot (3 + \sqrt{3})}{5 \cdot \sqrt{2} \cdot 0.4}

Next Step Evaluate

∴

r m = 8.69333243660161m

LAST Step Rounding Answer

∴

r m = 8.6933m

Midsphere Radius of Disheptahedron given Surface to Volume Ratio 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

Surface to Volume Ratio of Disheptahedron

Surface to Volume Ratio of Disheptahedron is the numerical ratio of the total surface area of a Disheptahedron to the volume of the Disheptahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 Volume

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

Go Midsphere Radius of Disheptahedron given Circumsphere Radius

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

How to Evaluate Midsphere Radius of Disheptahedron given Surface to Volume Ratio?

Midsphere Radius of Disheptahedron given Surface to Volume Ratio evaluator uses Midsphere Radius of Disheptahedron = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron) to evaluate the Midsphere Radius of Disheptahedron, The Midsphere Radius of Disheptahedron given Surface to Volume Ratio 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 surface to volume ratio of Disheptahedron. Midsphere Radius of Disheptahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Disheptahedron given Surface to Volume Ratio

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

The formula of Midsphere Radius of Disheptahedron given Surface to Volume Ratio is expressed as Midsphere Radius of Disheptahedron = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron). Here is an example- 8.693332 = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*0.4).

How to calculate Midsphere Radius of Disheptahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Disheptahedron (R_A/V) we can find Midsphere Radius of Disheptahedron given Surface to Volume Ratio using the formula - Midsphere Radius of Disheptahedron = (3*sqrt(3)*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron). 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*((3*Volume of Disheptahedron)/(5*sqrt(2)))^(1/3)

Can the Midsphere Radius of Disheptahedron given Surface to Volume Ratio be negative?

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

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

Midsphere Radius of Disheptahedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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