FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Volume of Pentagonal Cupola given Total Surface Area Formula

GoVolume of Pentagonal Cupola Formula

GoVolume of Pentagonal Cupola given Height Formula

Fx Copy

LaTeX Copy

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

V = \frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot {(\frac{TSA}{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})})}^{\frac{3}{2}}

V - Volume of Pentagonal Cupola?TSA - Total Surface Area of Pentagonal Cupola?

Volume of Pentagonal Cupola given Total Surface Area Example

With values

With units

Only example

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

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

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

2328.3044 = \frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot {(\frac{1660}{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})})}^{\frac{3}{2}}

2328.3044m³ = \frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot {(\frac{1660m²}{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})})}^{\frac{3}{2}}

2328.3044 = \frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot {(\frac{1660}{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})})}^{\frac{3}{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Volume of Pentagonal Cupola given Total Surface Area

Volume of Pentagonal Cupola given Total Surface Area Solution

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

FIRST Step Consider the formula

V = \frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot {(\frac{TSA}{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})})}^{\frac{3}{2}}

Next Step Substitute values of Variables

∴

V = \frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot {(\frac{1660m²}{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})})}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

V = \frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot {(\frac{1660}{\frac{1}{4} \cdot (20 + (5 \cdot \sqrt{3}) + \sqrt{5 \cdot (145 + (62 \cdot \sqrt{5}))})})}^{\frac{3}{2}}

Next Step Evaluate

∴

V = 2328.30444707954m³

LAST Step Rounding Answer

∴

V = 2328.3044m³

Volume of Pentagonal Cupola given Total Surface Area Formula Elements

Variables

Functions

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

Total Surface Area of Pentagonal Cupola

Total Surface Area of Pentagonal Cupola is the total amount of 2D space occupied by all the faces of the Pentagonal Cupola.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Volume of Pentagonal Cupola

Go Volume of Pentagonal Cupola

V = \frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot {l e}^{3}

Go Volume of Pentagonal Cupola given Height

V = \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})}})}^{3}

Go Volume of Pentagonal Cupola given Surface to Volume Ratio

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

How to Evaluate Volume of Pentagonal Cupola given Total Surface Area?

Volume of Pentagonal Cupola given Total Surface Area evaluator uses Volume of Pentagonal Cupola = 1/6*(5+(4*sqrt(5)))*(Total Surface Area of Pentagonal Cupola/(1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5)))))))^(3/2) to evaluate the Volume of Pentagonal Cupola, The Volume of Pentagonal Cupola given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Cupola and is calculated using the total surface area of the Pentagonal Cupola. Volume of Pentagonal Cupola is denoted by V symbol.

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

FAQs on Volume of Pentagonal Cupola given Total Surface Area

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

The formula of Volume of Pentagonal Cupola given Total Surface Area is expressed as Volume of Pentagonal Cupola = 1/6*(5+(4*sqrt(5)))*(Total Surface Area of Pentagonal Cupola/(1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5)))))))^(3/2). Here is an example- 2328.304 = 1/6*(5+(4*sqrt(5)))*(1660/(1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5)))))))^(3/2).

How to calculate Volume of Pentagonal Cupola given Total Surface Area?

With Total Surface Area of Pentagonal Cupola (TSA) we can find Volume of Pentagonal Cupola given Total Surface Area using the formula - Volume of Pentagonal Cupola = 1/6*(5+(4*sqrt(5)))*(Total Surface Area of Pentagonal Cupola/(1/4*(20+(5*sqrt(3))+sqrt(5*(145+(62*sqrt(5)))))))^(3/2). This formula also uses Square Root (sqrt) function(s).

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

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

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

Can the Volume of Pentagonal Cupola given Total Surface Area be negative?

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

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

Volume of Pentagonal Cupola given Total Surface Area is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Pentagonal Cupola given Total Surface Area can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit