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Surface to Volume Ratio of Pentakis Dodecahedron given Midsphere Radius Formula

GoSurface to Volume Ratio of Pentakis Dodecahedron given Leg Length Formula

GoSurface to Volume Ratio of Pentakis Dodecahedron given Total Surface Area Formula

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Surface to Volume Ratio of Pentakis Dodecahedron is what part of or fraction of total volume of Pentakis Dodecahedron is the total surface area. Check FAQs

R A/V = (\frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{23 + (11 \cdot \sqrt{5})}) \cdot (\frac{3 + \sqrt{5}}{4 \cdot r m})

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

Surface to Volume Ratio of Pentakis Dodecahedron given Midsphere Radius Example

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

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

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

0.2356 = (\frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{23 + (11 \cdot \sqrt{5})}) \cdot (\frac{3 + \sqrt{5}}{4 \cdot 13})

0.2356m⁻¹ = (\frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{23 + (11 \cdot \sqrt{5})}) \cdot (\frac{3 + \sqrt{5}}{4 \cdot 13m})

0.2356 = (\frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{23 + (11 \cdot \sqrt{5})}) \cdot (\frac{3 + \sqrt{5}}{4 \cdot 13})

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Surface to Volume Ratio of Pentakis Dodecahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

R A/V = (\frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{23 + (11 \cdot \sqrt{5})}) \cdot (\frac{3 + \sqrt{5}}{4 \cdot r m})

Next Step Substitute values of Variables

∴

R A/V = (\frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{23 + (11 \cdot \sqrt{5})}) \cdot (\frac{3 + \sqrt{5}}{4 \cdot 13m})

Next Step Prepare to Evaluate

∴

R A/V = (\frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{23 + (11 \cdot \sqrt{5})}) \cdot (\frac{3 + \sqrt{5}}{4 \cdot 13})

Next Step Evaluate

∴

R A/V = 0.235615347086188m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.2356m⁻¹

Surface to Volume Ratio of Pentakis Dodecahedron given Midsphere Radius Formula Elements

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Surface to Volume Ratio of Pentakis Dodecahedron

Surface to Volume Ratio of Pentakis Dodecahedron is what part of or fraction of total volume of Pentakis Dodecahedron is the total surface area.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Pentakis Dodecahedron

Midsphere Radius of Pentakis Dodecahedron

Midsphere Radius of Pentakis Dodecahedron is the radius of the sphere for which all the edges of the Pentakis 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 Pentakis 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 Surface to Volume Ratio of Pentakis Dodecahedron

Go Surface to Volume Ratio of Pentakis Dodecahedron given Leg Length

R A/V = (\frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{23 + (11 \cdot \sqrt{5})}) \cdot (3 \cdot \frac{(9 + \sqrt{5})}{38 \cdot l Leg})

Go Surface to Volume Ratio of Pentakis Dodecahedron given Total Surface Area

R A/V = (\frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{23 + (11 \cdot \sqrt{5})}) \cdot ({(\frac{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{19 \cdot TSA})}^{0.5})

Go Surface to Volume Ratio of Pentakis Dodecahedron given Volume

R A/V = (\frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{23 + (11 \cdot \sqrt{5})}) \cdot ({(\frac{15 \cdot (23 + (11 \cdot \sqrt{5}))}{76 \cdot V})}^{\frac{1}{3}})

Go Surface to Volume Ratio of Pentakis Dodecahedron given Insphere Radius

R A/V = (\frac{(\frac{76}{19}) \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}{23 + (11 \cdot \sqrt{5})}) \cdot (\frac{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})}{2 \cdot r i})

How to Evaluate Surface to Volume Ratio of Pentakis Dodecahedron given Midsphere Radius?

Surface to Volume Ratio of Pentakis Dodecahedron given Midsphere Radius evaluator uses Surface to Volume Ratio of Pentakis Dodecahedron = (((76/19)*(sqrt(413+(162*sqrt(5)))))/(23+(11*sqrt(5))))*((3+sqrt(5))/(4*Midsphere Radius of Pentakis Dodecahedron)) to evaluate the Surface to Volume Ratio of Pentakis Dodecahedron, Surface to Volume Ratio of Pentakis Dodecahedron given Midsphere Radius formula is defined as what part of total volume of Pentakis Dodechedron is the total surface area, calculated using midsphere radius of Pentakis Dodecahedron. Surface to Volume Ratio of Pentakis Dodecahedron is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Pentakis Dodecahedron given Midsphere Radius

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

The formula of Surface to Volume Ratio of Pentakis Dodecahedron given Midsphere Radius is expressed as Surface to Volume Ratio of Pentakis Dodecahedron = (((76/19)*(sqrt(413+(162*sqrt(5)))))/(23+(11*sqrt(5))))*((3+sqrt(5))/(4*Midsphere Radius of Pentakis Dodecahedron)). Here is an example- 0.235615 = (((76/19)*(sqrt(413+(162*sqrt(5)))))/(23+(11*sqrt(5))))*((3+sqrt(5))/(4*13)).

How to calculate Surface to Volume Ratio of Pentakis Dodecahedron given Midsphere Radius?

With Midsphere Radius of Pentakis Dodecahedron (r_m) we can find Surface to Volume Ratio of Pentakis Dodecahedron given Midsphere Radius using the formula - Surface to Volume Ratio of Pentakis Dodecahedron = (((76/19)*(sqrt(413+(162*sqrt(5)))))/(23+(11*sqrt(5))))*((3+sqrt(5))/(4*Midsphere Radius of Pentakis Dodecahedron)). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Surface to Volume Ratio of Pentakis Dodecahedron?

Here are the different ways to Calculate Surface to Volume Ratio of Pentakis Dodecahedron-

Surface to Volume Ratio of Pentakis Dodecahedron=(((76/19)*(sqrt(413+(162*sqrt(5)))))/(23+(11*sqrt(5))))*(3*((9+sqrt(5)))/(38*Leg Length of Pentakis Dodecahedron))
Surface to Volume Ratio of Pentakis Dodecahedron=(((76/19)*(sqrt(413+(162*sqrt(5)))))/(23+(11*sqrt(5))))*(((15*(sqrt(413+(162*sqrt(5)))))/(19*Total Surface Area of Pentakis Dodecahedron))^(0.5))
Surface to Volume Ratio of Pentakis Dodecahedron=(((76/19)*(sqrt(413+(162*sqrt(5)))))/(23+(11*sqrt(5))))*(((15*(23+(11*sqrt(5))))/(76*Volume of Pentakis Dodecahedron))^(1/3))

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

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

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

Surface to Volume Ratio of Pentakis Dodecahedron given Midsphere Radius is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Pentakis Dodecahedron given Midsphere Radius can be measured.

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