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Surface to Volume Ratio of Rotunda given Volume Formula

GoSurface to Volume Ratio of Rotunda Formula

GoSurface to Volume Ratio of Rotunda given Height Formula

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

R A/V = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{{(\frac{V}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{1}{3}} \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

R_A/V - Surface to Volume Ratio of Rotunda?V - Volume of Rotunda?

Surface to Volume Ratio of Rotunda given Volume Example

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

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

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

0.3218 = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{{(\frac{7000}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{1}{3}} \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

0.3218m⁻¹ = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{{(\frac{7000m³}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{1}{3}} \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

0.3218 = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{{(\frac{7000}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{1}{3}} \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

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Surface to Volume Ratio of Rotunda given Volume Solution

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

FIRST Step Consider the formula

R A/V = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{{(\frac{V}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{1}{3}} \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

Next Step Substitute values of Variables

∴

R A/V = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{{(\frac{7000m³}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{1}{3}} \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

Next Step Prepare to Evaluate

∴

R A/V = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{{(\frac{7000}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{1}{3}} \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

Next Step Evaluate

∴

R A/V = 0.321770819194953m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.3218m⁻¹

Surface to Volume Ratio of Rotunda given Volume Formula Elements

Variables

Functions

Surface to Volume Ratio of Rotunda

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

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Rotunda

Volume of Rotunda

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Rotunda

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 Rotunda

Go Surface to Volume Ratio of Rotunda

R A/V = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{l e \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

Go Surface to Volume Ratio of Rotunda given Height

R A/V = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{\frac{h}{\sqrt{1 + \frac{2}{\sqrt{5}}}} \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

Go Surface to Volume Ratio of Rotunda given Total Surface Area

R A/V = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{\sqrt{\frac{TSA}{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}} \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

Go Surface to Volume Ratio of Rotunda given Circumsphere Radius

R A/V = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{\frac{2 \cdot r c}{1 + \sqrt{5}} \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

How to Evaluate Surface to Volume Ratio of Rotunda given Volume?

Surface to Volume Ratio of Rotunda given Volume evaluator uses Surface to Volume Ratio of Rotunda = (1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/((Volume of Rotunda/(1/12*(45+(17*sqrt(5)))))^(1/3)*1/12*(45+(17*sqrt(5)))) to evaluate the Surface to Volume Ratio of Rotunda, The Surface to Volume Ratio of Rotunda given Volume formula is defined as the numerical ratio of the total surface area of a Rotunda to the volume of the Rotunda and is calculated using the volume of the Rotunda. Surface to Volume Ratio of Rotunda is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Rotunda given Volume

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

The formula of Surface to Volume Ratio of Rotunda given Volume is expressed as Surface to Volume Ratio of Rotunda = (1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/((Volume of Rotunda/(1/12*(45+(17*sqrt(5)))))^(1/3)*1/12*(45+(17*sqrt(5)))). Here is an example- 0.321771 = (1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/((7000/(1/12*(45+(17*sqrt(5)))))^(1/3)*1/12*(45+(17*sqrt(5)))).

How to calculate Surface to Volume Ratio of Rotunda given Volume?

With Volume of Rotunda (V) we can find Surface to Volume Ratio of Rotunda given Volume using the formula - Surface to Volume Ratio of Rotunda = (1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/((Volume of Rotunda/(1/12*(45+(17*sqrt(5)))))^(1/3)*1/12*(45+(17*sqrt(5)))). This formula also uses Square Root Function function(s).

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

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

Surface to Volume Ratio of Rotunda=(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/(Edge Length of Rotunda*1/12*(45+(17*sqrt(5))))
Surface to Volume Ratio of Rotunda=(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/(Height of Rotunda/(sqrt(1+2/sqrt(5)))*1/12*(45+(17*sqrt(5))))
Surface to Volume Ratio of Rotunda=(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/(sqrt(Total Surface Area of Rotunda/(1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))))*1/12*(45+(17*sqrt(5))))

Can the Surface to Volume Ratio of Rotunda given Volume be negative?

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

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

Surface to Volume Ratio of Rotunda 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 Rotunda given Volume can be measured.

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