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Total Surface Area of Rotunda given Volume 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{V}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{2}{3}}

TSA - Total Surface Area of Rotunda?V - Volume of Rotunda?

Total Surface Area of Rotunda given Volume Example

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

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

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

2252.3957 = \frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))}) \cdot {(\frac{7000}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{2}{3}}

2252.3957m² = \frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))}) \cdot {(\frac{7000m³}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{2}{3}}

2252.3957 = \frac{1}{2} \cdot ((5 \cdot \sqrt{3}) + \sqrt{10 \cdot (65 + (29 \cdot \sqrt{5}))}) \cdot {(\frac{7000}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{2}{3}}

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Total Surface Area of Rotunda given Volume Solution

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

FIRST Step Consider the formula

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}}

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{7000m³}{\frac{1}{12} \cdot (45 + (17 \cdot \sqrt{5}))})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

TSA = 2252.39573436467m²

LAST Step Rounding Answer

∴

TSA = 2252.3957m²

Total Surface Area of Rotunda given Volume 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

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 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 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}

Go Total Surface Area of Rotunda given Surface to Volume Ratio

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}

How to Evaluate Total Surface Area of Rotunda given Volume?

Total Surface Area of Rotunda given Volume evaluator uses 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) to evaluate the Total Surface Area of Rotunda, The Total Surface Area of Rotunda given Volume formula is defined as the total amount of two-dimensional space occupied by all the faces of the Rotunda and is calculated using the volume of the Rotunda. Total Surface Area of Rotunda is denoted by TSA symbol.

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

FAQs on Total Surface Area of Rotunda given Volume

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

The formula of Total Surface Area of Rotunda given Volume is expressed as 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). Here is an example- 2252.396 = 1/2*((5*sqrt(3))+sqrt(10*(65+(29*sqrt(5)))))*(7000/(1/12*(45+(17*sqrt(5)))))^(2/3).

How to calculate Total Surface Area of Rotunda given Volume?

With Volume of Rotunda (V) we can find Total Surface Area of Rotunda given Volume using the formula - 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). 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)))))*((2*Circumsphere Radius of Rotunda)/(1+sqrt(5)))^2

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

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

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

Total Surface Area of Rotunda given Volume 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 Volume can be measured.

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