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Total Surface Area of Rotunda given Surface to Volume Ratio Formula

GoTotal Surface Area of Rotunda Formula

GoTotal Surface Area of Rotunda given Height Formula

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Total Surface Area of Rotunda is the total amount of two-dimensional space occupied by all the faces of the Rotunda. Check FAQs

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

TSA - Total Surface Area of Rotunda?R_A/V - Surface to Volume Ratio of Rotunda?

Total Surface Area of Rotunda given Surface to Volume Ratio Example

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

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

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

2591.1676 = \frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))}) \cdot {(\frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{0.3 \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{2}

2591.1676m² = \frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))}) \cdot {(\frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{0.3m⁻¹ \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{2}

2591.1676 = \frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))}) \cdot {(\frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{0.3 \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{2}

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Total Surface Area of Rotunda given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = \frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))}) \cdot {(\frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{0.3m⁻¹ \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{2}

Next Step Prepare to Evaluate

∴

TSA = \frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))}) \cdot {(\frac{\frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))})}{0.3 \cdot \frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{2}

Next Step Evaluate

∴

TSA = 2591.16756719504m²

LAST Step Rounding Answer

∴

TSA = 2591.1676m²

Total Surface Area of Rotunda given Surface to Volume Ratio Formula Elements

Variables

Functions

Total Surface Area of Rotunda

Total Surface Area of Rotunda is the total amount of two-dimensional space occupied by all the faces of the Rotunda.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Rotunda

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

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 Total Surface Area of Rotunda

Go Total Surface Area of Rotunda

TSA = \frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))}) \cdot {l e}^{2}

Go Total Surface Area of Rotunda given Height

TSA = \frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))}) \cdot {(\frac{h}{\sqrt{1 + \frac{2}{\sqrt{5}}}})}^{2}

Go Total Surface Area of Rotunda given Volume

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

Go Total Surface Area of Rotunda given Circumsphere Radius

TSA = \frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))}) \cdot {(\frac{2 \cdot r c}{1 + \sqrt{5}})}^{2}

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

Total Surface Area of Rotunda given Surface to Volume Ratio evaluator uses Total Surface Area of Rotunda = 1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))*((1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/(Surface to Volume Ratio of Rotunda*1/12*(45+(17*sqrt(5)))))^2 to evaluate the Total Surface Area of Rotunda, The Total Surface Area of Rotunda given Surface to Volume Ratio formula is defined as the total amount of two-dimensional space occupied by all the faces of the Rotunda and is calculated using the surface to volume ratio of the Rotunda. Total Surface Area of Rotunda is denoted by TSA symbol.

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

FAQs on Total Surface Area of Rotunda given Surface to Volume Ratio

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

The formula of Total Surface Area of Rotunda given Surface to Volume Ratio is expressed as Total Surface Area of Rotunda = 1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))*((1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/(Surface to Volume Ratio of Rotunda*1/12*(45+(17*sqrt(5)))))^2. Here is an example- 2591.168 = 1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))*((1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5))))))/(0.3*1/12*(45+(17*sqrt(5)))))^2.

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

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

What are the other ways to Calculate Total Surface Area of Rotunda?

Here are the different ways to Calculate Total Surface Area of Rotunda-

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

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

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

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

Total Surface Area of Rotunda given Surface to Volume Ratio is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Rotunda given Surface to Volume Ratio can be measured.

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