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Surface to Volume Ratio of Pentagonal Cupola given Volume Formula

GoSurface to Volume Ratio of Pentagonal Cupola Formula

GoSurface to Volume Ratio of Pentagonal Cupola given Height Formula

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Surface to Volume Ratio of Pentagonal Cupola is the numerical ratio of the total surface area of a Pentagonal Cupola to the volume of the Pentagonal Cupola. Check FAQs

R A/V = \frac{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot {(\frac{V}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5}))})}^{\frac{1}{3}}}

R_A/V - Surface to Volume Ratio of Pentagonal Cupola?V - Volume of Pentagonal Cupola?

Surface to Volume Ratio of Pentagonal Cupola given Volume Example

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Here is how the Surface to Volume Ratio of Pentagonal Cupola given Volume equation looks like with Values.

Here is how the Surface to Volume Ratio of Pentagonal Cupola given Volume equation looks like with Units.

Here is how the Surface to Volume Ratio of Pentagonal Cupola given Volume equation looks like.

0.7159 = \frac{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot {(\frac{2300}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5}))})}^{\frac{1}{3}}}

0.7159m⁻¹ = \frac{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot {(\frac{2300m³}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5}))})}^{\frac{1}{3}}}

0.7159 = \frac{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot {(\frac{2300}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5}))})}^{\frac{1}{3}}}

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Surface to Volume Ratio of Pentagonal Cupola given Volume Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Pentagonal Cupola given Volume?

FIRST Step Consider the formula

R A/V = \frac{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot {(\frac{V}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5}))})}^{\frac{1}{3}}}

Next Step Substitute values of Variables

∴

R A/V = \frac{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot {(\frac{2300m³}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5}))})}^{\frac{1}{3}}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot {(\frac{2300}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5}))})}^{\frac{1}{3}}}

Next Step Evaluate

∴

R A/V = 0.715877914539068m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.7159m⁻¹

Surface to Volume Ratio of Pentagonal Cupola given Volume Formula Elements

Variables

Functions

Surface to Volume Ratio of Pentagonal Cupola

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

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Pentagonal Cupola

Volume of Pentagonal Cupola

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Pentagonal Cupola

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 Pentagonal Cupola

Go Surface to Volume Ratio of Pentagonal Cupola

R A/V = \frac{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot l e}

Go Surface to Volume Ratio of Pentagonal Cupola given Height

R A/V = \frac{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot (\frac{h}{\sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{π}{5})}^{2})}})}

Go Surface to Volume Ratio of Pentagonal Cupola given Total Surface Area

R A/V = \frac{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})}{\frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot \sqrt{\frac{TSA}{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})}}}

How to Evaluate Surface to Volume Ratio of Pentagonal Cupola given Volume?

Surface to Volume Ratio of Pentagonal Cupola given Volume evaluator uses Surface to Volume Ratio of Pentagonal Cupola = (1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5))))))/(1/6*(5+(4*sqrt(5)))*(Volume of Pentagonal Cupola/(1/6*(5+(4*sqrt(5)))))^(1/3)) to evaluate the Surface to Volume Ratio of Pentagonal Cupola, The Surface to Volume Ratio of Pentagonal Cupola given Volume formula is defined as the numerical ratio of the total surface area of a Pentagonal Cupola to the volume of the Pentagonal Cupola and is calculated using the volume of the Pentagonal Cupola. Surface to Volume Ratio of Pentagonal Cupola is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Pentagonal Cupola given Volume using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Pentagonal Cupola given Volume, enter Volume of Pentagonal Cupola (V) and hit the calculate button.

FAQs on Surface to Volume Ratio of Pentagonal Cupola given Volume

What is the formula to find Surface to Volume Ratio of Pentagonal Cupola given Volume?

The formula of Surface to Volume Ratio of Pentagonal Cupola given Volume is expressed as Surface to Volume Ratio of Pentagonal Cupola = (1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5))))))/(1/6*(5+(4*sqrt(5)))*(Volume of Pentagonal Cupola/(1/6*(5+(4*sqrt(5)))))^(1/3)). Here is an example- 0.715878 = (1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5))))))/(1/6*(5+(4*sqrt(5)))*(2300/(1/6*(5+(4*sqrt(5)))))^(1/3)).

How to calculate Surface to Volume Ratio of Pentagonal Cupola given Volume?

With Volume of Pentagonal Cupola (V) we can find Surface to Volume Ratio of Pentagonal Cupola given Volume using the formula - Surface to Volume Ratio of Pentagonal Cupola = (1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5))))))/(1/6*(5+(4*sqrt(5)))*(Volume of Pentagonal Cupola/(1/6*(5+(4*sqrt(5)))))^(1/3)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Surface to Volume Ratio of Pentagonal Cupola?

Here are the different ways to Calculate Surface to Volume Ratio of Pentagonal Cupola-

Surface to Volume Ratio of Pentagonal Cupola=(1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5))))))/(1/6*(5+(4*sqrt(5)))*Edge Length of Pentagonal Cupola)
Surface to Volume Ratio of Pentagonal Cupola=(1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5))))))/(1/6*(5+(4*sqrt(5)))*(Height of Pentagonal Cupola/sqrt(1-(1/4*cosec(pi/5)^(2)))))
Surface to Volume Ratio of Pentagonal Cupola=(1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5))))))/(1/6*(5+(4*sqrt(5)))*sqrt(Total Surface Area of Pentagonal Cupola/(1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5))))))))

Can the Surface to Volume Ratio of Pentagonal Cupola given Volume be negative?

No, the Surface to Volume Ratio of Pentagonal Cupola given Volume, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Pentagonal Cupola given Volume?

Surface to Volume Ratio of Pentagonal Cupola given Volume 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 Pentagonal Cupola given Volume can be measured.

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