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Volume of Pentagonal Cupola Formula

GoVolume of Pentagonal Cupola given Height Formula

GoVolume of Pentagonal Cupola given Total Surface Area Formula

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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 {l e}^{3}

V - Volume of Pentagonal Cupola?l_e - Edge Length of Pentagonal Cupola?

Volume of Pentagonal Cupola Example

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Here is how the Volume of Pentagonal Cupola equation looks like with Values.

Here is how the Volume of Pentagonal Cupola equation looks like with Units.

Here is how the Volume of Pentagonal Cupola equation looks like.

2324.0453 = \frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot 10^{3}

2324.0453m³ = \frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot {10m}^{3}

2324.0453 = \frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot 10^{3}

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Volume of Pentagonal Cupola Solution

Follow our step by step solution on how to calculate Volume of Pentagonal Cupola?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot {10m}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{1}{6} \cdot (5 + (4 \cdot \sqrt{5})) \cdot 10^{3}

Next Step Evaluate

∴

V = 2324.04531833319m³

LAST Step Rounding Answer

∴

V = 2324.0453m³

Volume of Pentagonal Cupola 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

Edge Length of Pentagonal Cupola

Edge Length of Pentagonal Cupola is the length of any edge of the Pentagonal Cupola.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 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 Total Surface Area

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}}

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?

Volume of Pentagonal Cupola evaluator uses Volume of Pentagonal Cupola = 1/6*(5+(4*sqrt(5)))*Edge Length of Pentagonal Cupola^3 to evaluate the Volume of Pentagonal Cupola, The Volume of Pentagonal Cupola formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Cupola. Volume of Pentagonal Cupola is denoted by V symbol.

How to evaluate Volume of Pentagonal Cupola using this online evaluator? To use this online evaluator for Volume of Pentagonal Cupola, enter Edge Length of Pentagonal Cupola (l_e) and hit the calculate button.

FAQs on Volume of Pentagonal Cupola

What is the formula to find Volume of Pentagonal Cupola?

The formula of Volume of Pentagonal Cupola is expressed as Volume of Pentagonal Cupola = 1/6*(5+(4*sqrt(5)))*Edge Length of Pentagonal Cupola^3. Here is an example- 2324.045 = 1/6*(5+(4*sqrt(5)))*10^3.

How to calculate Volume of Pentagonal Cupola?

With Edge Length of Pentagonal Cupola (l_e) we can find Volume of Pentagonal Cupola using the formula - Volume of Pentagonal Cupola = 1/6*(5+(4*sqrt(5)))*Edge Length of Pentagonal Cupola^3. 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)))*(Height of Pentagonal Cupola/sqrt(1-(1/4*cosec(pi/5)^(2))))^3
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)
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 be negative?

No, the Volume of Pentagonal Cupola, measured in Volume cannot be negative.

Which unit is used to measure Volume of Pentagonal Cupola?

Volume of Pentagonal Cupola 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 can be measured.

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