FormulaDen.com

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

Height of Triangular Cupola given Volume Formula

GoHeight of Triangular Cupola Formula

GoHeight of Triangular Cupola given Total Surface Area Formula

Fx Copy

LaTeX Copy

Height of Triangular Cupola is the vertical distance from the triangular face to the opposite hexagonal face of the Triangular Cupola. Check FAQs

h = {(\frac{3 \cdot \sqrt{2} \cdot V}{5})}^{\frac{1}{3}} \cdot \sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{π}{3})}^{2})}

h - Height of Triangular Cupola?V - Volume of Triangular Cupola?π - Archimedes' constant?

Height of Triangular Cupola given Volume Example

With values

With units

Only example

Here is how the Height of Triangular Cupola given Volume equation looks like with Values.

Here is how the Height of Triangular Cupola given Volume equation looks like with Units.

Here is how the Height of Triangular Cupola given Volume equation looks like.

8.2143 = {(\frac{3 \cdot \sqrt{2} \cdot 1200}{5})}^{\frac{1}{3}} \cdot \sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{3.1416}{3})}^{2})}

8.2143m = {(\frac{3 \cdot \sqrt{2} \cdot 1200m³}{5})}^{\frac{1}{3}} \cdot \sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{3.1416}{3})}^{2})}

8.2143 = {(\frac{3 \cdot \sqrt{2} \cdot 1200}{5})}^{\frac{1}{3}} \cdot \sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{3.1416}{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 Height of Triangular Cupola given Volume

Height of Triangular Cupola given Volume Solution

Follow our step by step solution on how to calculate Height of Triangular Cupola given Volume?

FIRST Step Consider the formula

h = {(\frac{3 \cdot \sqrt{2} \cdot V}{5})}^{\frac{1}{3}} \cdot \sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{π}{3})}^{2})}

Next Step Substitute values of Variables

∴

h = {(\frac{3 \cdot \sqrt{2} \cdot 1200m³}{5})}^{\frac{1}{3}} \cdot \sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{π}{3})}^{2})}

Next Step Substitute values of Constants

∴

h = {(\frac{3 \cdot \sqrt{2} \cdot 1200m³}{5})}^{\frac{1}{3}} \cdot \sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{3.1416}{3})}^{2})}

Next Step Prepare to Evaluate

∴

h = {(\frac{3 \cdot \sqrt{2} \cdot 1200}{5})}^{\frac{1}{3}} \cdot \sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{3.1416}{3})}^{2})}

Next Step Evaluate

∴

h = 8.21429322730446m

LAST Step Rounding Answer

∴

h = 8.2143m

Height of Triangular Cupola given Volume Formula Elements

Variables

Constants

Functions

Height of Triangular Cupola

Height of Triangular Cupola is the vertical distance from the triangular face to the opposite hexagonal face of the Triangular Cupola.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Triangular Cupola

Volume of Triangular Cupola

Volume of Triangular Cupola is the total quantity of three-dimensional space enclosed by the surface of the Triangular Cupola.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Triangular Cupola

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sec

Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.

Syntax: sec(Angle)

cosec

The cosecant function is a trigonometric function that is the reciprocal of the sine function.

Syntax: cosec(Angle)

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 Height of Triangular Cupola

Go Height of Triangular Cupola

h = l e \cdot \sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{π}{3})}^{2})}

Go Height of Triangular Cupola given Total Surface Area

h = \sqrt{\frac{TSA}{3 + \frac{5 \cdot \sqrt{3}}{2}}} \cdot \sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{π}{3})}^{2})}

Go Height of Triangular Cupola given Surface to Volume Ratio

h = \frac{(3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot (3 \cdot \sqrt{2})}{5 \cdot R A/V} \cdot \sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{π}{3})}^{2})}

How to Evaluate Height of Triangular Cupola given Volume?

Height of Triangular Cupola given Volume evaluator uses Height of Triangular Cupola = ((3*sqrt(2)*Volume of Triangular Cupola)/5)^(1/3)*sqrt(1-(1/4*cosec(pi/3)^(2))) to evaluate the Height of Triangular Cupola, The Height of Triangular Cupola given Volume formula is defined as the vertical distance from the triangular face to the opposite hexagonal face of the Triangular Cupola and is calculated using the volume of the Triangular Cupola. Height of Triangular Cupola is denoted by h symbol.

How to evaluate Height of Triangular Cupola given Volume using this online evaluator? To use this online evaluator for Height of Triangular Cupola given Volume, enter Volume of Triangular Cupola (V) and hit the calculate button.

FAQs on Height of Triangular Cupola given Volume

What is the formula to find Height of Triangular Cupola given Volume?

The formula of Height of Triangular Cupola given Volume is expressed as Height of Triangular Cupola = ((3*sqrt(2)*Volume of Triangular Cupola)/5)^(1/3)*sqrt(1-(1/4*cosec(pi/3)^(2))). Here is an example- 8.214293 = ((3*sqrt(2)*1200)/5)^(1/3)*sqrt(1-(1/4*cosec(pi/3)^(2))).

How to calculate Height of Triangular Cupola given Volume?

With Volume of Triangular Cupola (V) we can find Height of Triangular Cupola given Volume using the formula - Height of Triangular Cupola = ((3*sqrt(2)*Volume of Triangular Cupola)/5)^(1/3)*sqrt(1-(1/4*cosec(pi/3)^(2))). This formula also uses Archimedes' constant and , Secant (sec), Cosecant (cosec), Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Triangular Cupola?

Here are the different ways to Calculate Height of Triangular Cupola-

Height of Triangular Cupola=Edge Length of Triangular Cupola*sqrt(1-(1/4*cosec(pi/3)^(2)))
Height of Triangular Cupola=sqrt(Total Surface Area of Triangular Cupola/(3+(5*sqrt(3))/2))*sqrt(1-(1/4*cosec(pi/3)^(2)))
Height of Triangular Cupola=((3+(5*sqrt(3))/2)*(3*sqrt(2)))/(5*Surface to Volume Ratio of Triangular Cupola)*sqrt(1-(1/4*cosec(pi/3)^(2)))

Can the Height of Triangular Cupola given Volume be negative?

No, the Height of Triangular Cupola given Volume, measured in Length cannot be negative.

Which unit is used to measure Height of Triangular Cupola given Volume?

Height of Triangular Cupola given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Triangular Cupola given Volume can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit