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Total Height of Hollow Pyramid given Volume Formula

GoTotal Height of Hollow Pyramid Formula

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Total Height of Hollow Pyramid is the total length of the perpendicular from the apex to the base of the complete pyramid in the Hollow Pyramid. Check FAQs

h Total = \frac{12 \cdot V \cdot \tan (\frac{π}{n})}{n \cdot {l e(Base)}^{2}} + h Missing

h_Total - Total Height of Hollow Pyramid?V - Volume of Hollow Pyramid?n - Number of Base Vertices of Hollow Pyramid?l_e(Base) - Edge Length of Base of Hollow Pyramid?h_Missing - Missing Height of Hollow Pyramid?π - Archimedes' constant?

Total Height of Hollow Pyramid given Volume Example

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Here is how the Total Height of Hollow Pyramid given Volume equation looks like with Values.

Here is how the Total Height of Hollow Pyramid given Volume equation looks like with Units.

Here is how the Total Height of Hollow Pyramid given Volume equation looks like.

14.8 = \frac{12 \cdot 260 \cdot \tan (\frac{3.1416}{4})}{4 \cdot 10^{2}} + 7

14.8m = \frac{12 \cdot 260m³ \cdot \tan (\frac{3.1416}{4})}{4 \cdot {10m}^{2}} + 7m

14.8 = \frac{12 \cdot 260 \cdot \tan (\frac{3.1416}{4})}{4 \cdot 10^{2}} + 7

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Total Height of Hollow Pyramid given Volume Solution

Follow our step by step solution on how to calculate Total Height of Hollow Pyramid given Volume?

FIRST Step Consider the formula

h Total = \frac{12 \cdot V \cdot \tan (\frac{π}{n})}{n \cdot {l e(Base)}^{2}} + h Missing

Next Step Substitute values of Variables

∴

h Total = \frac{12 \cdot 260m³ \cdot \tan (\frac{π}{4})}{4 \cdot {10m}^{2}} + 7m

Next Step Substitute values of Constants

∴

h Total = \frac{12 \cdot 260m³ \cdot \tan (\frac{3.1416}{4})}{4 \cdot {10m}^{2}} + 7m

Next Step Prepare to Evaluate

∴

h Total = \frac{12 \cdot 260 \cdot \tan (\frac{3.1416}{4})}{4 \cdot 10^{2}} + 7

LAST Step Evaluate

∴

h Total = 14.8m

Total Height of Hollow Pyramid given Volume Formula Elements

Variables

Constants

Functions

Total Height of Hollow Pyramid

Total Height of Hollow Pyramid is the total length of the perpendicular from the apex to the base of the complete pyramid in the Hollow Pyramid.

Symbol: h_Total

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Total Height of Hollow Pyramid

Volume of Hollow Pyramid

Volume of Hollow Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Hollow Pyramid.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Hollow Pyramid

Number of Base Vertices of Hollow Pyramid

Number of Base Vertices of Hollow Pyramid are the number of base vertices of a regular Hollow Pyramid.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Base Vertices of Hollow Pyramid

Edge Length of Base of Hollow Pyramid

Edge Length of Base of Hollow Pyramid is the length of the straight line connecting any two adjacent vertices on the base of the Hollow Pyramid.

Symbol: l_e(Base)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Base of Hollow Pyramid

Missing Height of Hollow Pyramid

Missing Height of Hollow Pyramid is the length of the perpendicular from the apex of the removed pyramid to the base of the removed pyramid in the Hollow Pyramid.

Symbol: h_Missing

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Missing Height of Hollow Pyramid

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

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other Formulas to find Total Height of Hollow Pyramid

Go Total Height of Hollow Pyramid

h Total = h Inner + h Missing

How to Evaluate Total Height of Hollow Pyramid given Volume?

Total Height of Hollow Pyramid given Volume evaluator uses Total Height of Hollow Pyramid = (12*Volume of Hollow Pyramid*tan(pi/Number of Base Vertices of Hollow Pyramid))/(Number of Base Vertices of Hollow Pyramid*Edge Length of Base of Hollow Pyramid^2)+Missing Height of Hollow Pyramid to evaluate the Total Height of Hollow Pyramid, Total Height of Hollow Pyramid given Volume formula is defined as the total length of the perpendicular from the apex to the base of the complete pyramid in the Hollow Pyramid and is calculated using the volume of the Hollow Pyramid. Total Height of Hollow Pyramid is denoted by h_Total symbol.

How to evaluate Total Height of Hollow Pyramid given Volume using this online evaluator? To use this online evaluator for Total Height of Hollow Pyramid given Volume, enter Volume of Hollow Pyramid (V), Number of Base Vertices of Hollow Pyramid (n), Edge Length of Base of Hollow Pyramid (l_e(Base)) & Missing Height of Hollow Pyramid (h_Missing) and hit the calculate button.

FAQs on Total Height of Hollow Pyramid given Volume

What is the formula to find Total Height of Hollow Pyramid given Volume?

The formula of Total Height of Hollow Pyramid given Volume is expressed as Total Height of Hollow Pyramid = (12*Volume of Hollow Pyramid*tan(pi/Number of Base Vertices of Hollow Pyramid))/(Number of Base Vertices of Hollow Pyramid*Edge Length of Base of Hollow Pyramid^2)+Missing Height of Hollow Pyramid. Here is an example- 14.8 = (12*260*tan(pi/4))/(4*10^2)+7.

How to calculate Total Height of Hollow Pyramid given Volume?

With Volume of Hollow Pyramid (V), Number of Base Vertices of Hollow Pyramid (n), Edge Length of Base of Hollow Pyramid (l_e(Base)) & Missing Height of Hollow Pyramid (h_Missing) we can find Total Height of Hollow Pyramid given Volume using the formula - Total Height of Hollow Pyramid = (12*Volume of Hollow Pyramid*tan(pi/Number of Base Vertices of Hollow Pyramid))/(Number of Base Vertices of Hollow Pyramid*Edge Length of Base of Hollow Pyramid^2)+Missing Height of Hollow Pyramid. This formula also uses Archimedes' constant and Tangent (tan) function(s).

What are the other ways to Calculate Total Height of Hollow Pyramid?

Here are the different ways to Calculate Total Height of Hollow Pyramid-

Total Height of Hollow Pyramid=Inner Height of Hollow Pyramid+Missing Height of Hollow Pyramid

Can the Total Height of Hollow Pyramid given Volume be negative?

No, the Total Height of Hollow Pyramid given Volume, measured in Length cannot be negative.

Which unit is used to measure Total Height of Hollow Pyramid given Volume?

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

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Total Height of Hollow Pyramid given Volume Formula

​GoTotal Height of Hollow Pyramid Formula

Total Height of Hollow Pyramid given Volume Example

Total Height of Hollow Pyramid given Volume Solution

Total Height of Hollow Pyramid given Volume Formula Elements

Other Formulas to find Total Height of Hollow Pyramid

How to Evaluate Total Height of Hollow Pyramid given Volume?

FAQs on Total Height of Hollow Pyramid given Volume

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GoTotal Height of Hollow Pyramid Formula