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Surface to Volume Ratio of Rotunda given Height Formula

GoSurface to Volume Ratio of Rotunda Formula

GoSurface to Volume Ratio of Rotunda given Total Surface Area 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{h}{\sqrt{1 + \frac{2}{\sqrt{5}}}} \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

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

Surface to Volume Ratio of Rotunda given Height Example

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

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

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

0.3176 = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{\frac{14}{\sqrt{1 + \frac{2}{\sqrt{5}}}} \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

0.3176m⁻¹ = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{\frac{14m}{\sqrt{1 + \frac{2}{\sqrt{5}}}} \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

0.3176 = \frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{\frac{14}{\sqrt{1 + \frac{2}{\sqrt{5}}}} \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

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Surface to Volume Ratio of Rotunda given Height Solution

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

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{h}{\sqrt{1 + \frac{2}{\sqrt{5}}}} \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{14m}{\sqrt{1 + \frac{2}{\sqrt{5}}}} \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{14}{\sqrt{1 + \frac{2}{\sqrt{5}}}} \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))}

Next Step Evaluate

∴

R A/V = 0.317591132114358m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.3176m⁻¹

Surface to Volume Ratio of Rotunda given Height 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

Height of Rotunda

Height of Rotunda is the vertical distance from the top pentagonal face to the bottom decagonal face of the Rotunda.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 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 Volume

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}))}

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 Height?

Surface to Volume Ratio of Rotunda given Height evaluator uses 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)))) to evaluate the Surface to Volume Ratio of Rotunda, The Surface to Volume Ratio of Rotunda given Height 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 height 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 Height using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Rotunda given Height, enter Height of Rotunda (h) and hit the calculate button.

FAQs on Surface to Volume Ratio of Rotunda given Height

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

The formula of Surface to Volume Ratio of Rotunda given Height is expressed as 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)))). Here is an example- 0.317591 = (1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/(14/(sqrt(1+2/sqrt(5)))*1/12*(45+(17*sqrt(5)))).

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

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

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

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

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

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

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