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Surface to Volume Ratio of Regular Bipyramid given Total Height Formula

GoSurface to Volume Ratio of Regular Bipyramid Formula

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Surface to Volume Ratio of Regular Bipyramid is the numerical ratio of the total surface area of the Regular Bipyramid to the volume of the Regular Bipyramid. Check FAQs

R A/V = \frac{4 \cdot \tan (\frac{π}{n}) \cdot \sqrt{{(\frac{h Total}{2})}^{2} + (\frac{1}{4} \cdot {l e(Base)}^{2} \cdot {(\cot (\frac{π}{n}))}^{2})}}{\frac{1}{3} \cdot l e(Base) \cdot h Total}

R_A/V - Surface to Volume Ratio of Regular Bipyramid?n - Number of Base Vertices of Regular Bipyramid?h_Total - Total Height of Regular Bipyramid?l_e(Base) - Edge Length of Base of Regular Bipyramid?π - Archimedes' constant?

Surface to Volume Ratio of Regular Bipyramid given Total Height Example

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Here is how the Surface to Volume Ratio of Regular Bipyramid given Total Height equation looks like with Values.

Here is how the Surface to Volume Ratio of Regular Bipyramid given Total Height equation looks like with Units.

Here is how the Surface to Volume Ratio of Regular Bipyramid given Total Height equation looks like.

0.7373 = \frac{4 \cdot \tan (\frac{3.1416}{4}) \cdot \sqrt{{(\frac{14}{2})}^{2} + (\frac{1}{4} \cdot 10^{2} \cdot {(\cot (\frac{3.1416}{4}))}^{2})}}{\frac{1}{3} \cdot 10 \cdot 14}

0.7373m⁻¹ = \frac{4 \cdot \tan (\frac{3.1416}{4}) \cdot \sqrt{{(\frac{14m}{2})}^{2} + (\frac{1}{4} \cdot {10m}^{2} \cdot {(\cot (\frac{3.1416}{4}))}^{2})}}{\frac{1}{3} \cdot 10m \cdot 14m}

0.7373 = \frac{4 \cdot \tan (\frac{3.1416}{4}) \cdot \sqrt{{(\frac{14}{2})}^{2} + (\frac{1}{4} \cdot 10^{2} \cdot {(\cot (\frac{3.1416}{4}))}^{2})}}{\frac{1}{3} \cdot 10 \cdot 14}

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Surface to Volume Ratio of Regular Bipyramid given Total Height Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Regular Bipyramid given Total Height?

FIRST Step Consider the formula

R A/V = \frac{4 \cdot \tan (\frac{π}{n}) \cdot \sqrt{{(\frac{h Total}{2})}^{2} + (\frac{1}{4} \cdot {l e(Base)}^{2} \cdot {(\cot (\frac{π}{n}))}^{2})}}{\frac{1}{3} \cdot l e(Base) \cdot h Total}

Next Step Substitute values of Variables

∴

R A/V = \frac{4 \cdot \tan (\frac{π}{4}) \cdot \sqrt{{(\frac{14m}{2})}^{2} + (\frac{1}{4} \cdot {10m}^{2} \cdot {(\cot (\frac{π}{4}))}^{2})}}{\frac{1}{3} \cdot 10m \cdot 14m}

Next Step Substitute values of Constants

∴

R A/V = \frac{4 \cdot \tan (\frac{3.1416}{4}) \cdot \sqrt{{(\frac{14m}{2})}^{2} + (\frac{1}{4} \cdot {10m}^{2} \cdot {(\cot (\frac{3.1416}{4}))}^{2})}}{\frac{1}{3} \cdot 10m \cdot 14m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{4 \cdot \tan (\frac{3.1416}{4}) \cdot \sqrt{{(\frac{14}{2})}^{2} + (\frac{1}{4} \cdot 10^{2} \cdot {(\cot (\frac{3.1416}{4}))}^{2})}}{\frac{1}{3} \cdot 10 \cdot 14}

Next Step Evaluate

∴

R A/V = 0.737342165746511m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.7373m⁻¹

Surface to Volume Ratio of Regular Bipyramid given Total Height Formula Elements

Variables

Constants

Functions

Surface to Volume Ratio of Regular Bipyramid

Surface to Volume Ratio of Regular Bipyramid is the numerical ratio of the total surface area of the Regular Bipyramid to the volume of the Regular Bipyramid.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Regular Bipyramid

Number of Base Vertices of Regular Bipyramid

Number of Base Vertices of Regular Bipyramid are the number of base vertices of a Regular Bipyramid.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 2.99.

Formulas to find Number of Base Vertices of Regular Bipyramid

Total Height of Regular Bipyramid

Total Height of Regular Bipyramid is the total length of the perpendicular from the apex of one pyramid to the apex of another pyramid in the Regular Bipyramid.

Symbol: h_Total

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Total Height of Regular Bipyramid

Edge Length of Base of Regular Bipyramid

Edge Length of Base of Regular Bipyramid is the length of the straight line connecting any two adjacent base vertices of the Regular Bipyramid.

Symbol: l_e(Base)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Base of Regular Bipyramid

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)

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(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 Surface to Volume Ratio of Regular Bipyramid

Go Surface to Volume Ratio of Regular Bipyramid

R A/V = \frac{4 \cdot \tan (\frac{π}{n}) \cdot \sqrt{{h Half}^{2} + (\frac{1}{4} \cdot {l e(Base)}^{2} \cdot {(\cot (\frac{π}{n}))}^{2})}}{\frac{2}{3} \cdot l e(Base) \cdot h Half}

Other formulas in Volume and Surface to Volume Ratio of Regular Bipyramid category

Go Volume of Regular Bipyramid

V = \frac{\frac{2}{3} \cdot n \cdot h Half \cdot {l e(Base)}^{2}}{4 \cdot \tan (\frac{π}{n})}

Go Volume of Regular Bipyramid given Total Height

V = \frac{\frac{1}{3} \cdot n \cdot h Total \cdot {l e(Base)}^{2}}{4 \cdot \tan (\frac{π}{n})}

How to Evaluate Surface to Volume Ratio of Regular Bipyramid given Total Height?

Surface to Volume Ratio of Regular Bipyramid given Total Height evaluator uses Surface to Volume Ratio of Regular Bipyramid = (4*tan(pi/Number of Base Vertices of Regular Bipyramid)*sqrt((Total Height of Regular Bipyramid/2)^2+(1/4*Edge Length of Base of Regular Bipyramid^2*(cot(pi/Number of Base Vertices of Regular Bipyramid))^2)))/(1/3*Edge Length of Base of Regular Bipyramid*Total Height of Regular Bipyramid) to evaluate the Surface to Volume Ratio of Regular Bipyramid, Surface to Volume Ratio of Regular Bipyramid given Total Height formula is defined as the numerical ratio of the total surface area of the Regular Bipyramid to the volume of the Regular Bipyramid and is calculated using the total height of the Regular Bipyramid. Surface to Volume Ratio of Regular Bipyramid is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Regular Bipyramid given Total Height using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Regular Bipyramid given Total Height, enter Number of Base Vertices of Regular Bipyramid (n), Total Height of Regular Bipyramid (h_Total) & Edge Length of Base of Regular Bipyramid (l_e(Base)) and hit the calculate button.

FAQs on Surface to Volume Ratio of Regular Bipyramid given Total Height

What is the formula to find Surface to Volume Ratio of Regular Bipyramid given Total Height?

The formula of Surface to Volume Ratio of Regular Bipyramid given Total Height is expressed as Surface to Volume Ratio of Regular Bipyramid = (4*tan(pi/Number of Base Vertices of Regular Bipyramid)*sqrt((Total Height of Regular Bipyramid/2)^2+(1/4*Edge Length of Base of Regular Bipyramid^2*(cot(pi/Number of Base Vertices of Regular Bipyramid))^2)))/(1/3*Edge Length of Base of Regular Bipyramid*Total Height of Regular Bipyramid). Here is an example- 0.737342 = (4*tan(pi/4)*sqrt((14/2)^2+(1/4*10^2*(cot(pi/4))^2)))/(1/3*10*14).

How to calculate Surface to Volume Ratio of Regular Bipyramid given Total Height?

With Number of Base Vertices of Regular Bipyramid (n), Total Height of Regular Bipyramid (h_Total) & Edge Length of Base of Regular Bipyramid (l_e(Base)) we can find Surface to Volume Ratio of Regular Bipyramid given Total Height using the formula - Surface to Volume Ratio of Regular Bipyramid = (4*tan(pi/Number of Base Vertices of Regular Bipyramid)*sqrt((Total Height of Regular Bipyramid/2)^2+(1/4*Edge Length of Base of Regular Bipyramid^2*(cot(pi/Number of Base Vertices of Regular Bipyramid))^2)))/(1/3*Edge Length of Base of Regular Bipyramid*Total Height of Regular Bipyramid). This formula also uses Archimedes' constant and , Tangent (tan), Cotangent (cot), Square Root (sqrt) function(s).

What are the other ways to Calculate Surface to Volume Ratio of Regular Bipyramid?

Here are the different ways to Calculate Surface to Volume Ratio of Regular Bipyramid-

Surface to Volume Ratio of Regular Bipyramid=(4*tan(pi/Number of Base Vertices of Regular Bipyramid)*sqrt(Half Height of Regular Bipyramid^2+(1/4*Edge Length of Base of Regular Bipyramid^2*(cot(pi/Number of Base Vertices of Regular Bipyramid))^2)))/(2/3*Edge Length of Base of Regular Bipyramid*Half Height of Regular Bipyramid)

Can the Surface to Volume Ratio of Regular Bipyramid given Total Height be negative?

No, the Surface to Volume Ratio of Regular Bipyramid given Total Height, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Regular Bipyramid given Total Height?

Surface to Volume Ratio of Regular Bipyramid given Total Height is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Regular Bipyramid given Total Height can be measured.

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Surface to Volume Ratio of Regular Bipyramid given Total Height Formula

​GoSurface to Volume Ratio of Regular Bipyramid Formula

Surface to Volume Ratio of Regular Bipyramid given Total Height Example

Surface to Volume Ratio of Regular Bipyramid given Total Height Solution

Surface to Volume Ratio of Regular Bipyramid given Total Height Formula Elements

Other Formulas to find Surface to Volume Ratio of Regular Bipyramid

Other formulas in Volume and Surface to Volume Ratio of Regular Bipyramid category

How to Evaluate Surface to Volume Ratio of Regular Bipyramid given Total Height?

FAQs on Surface to Volume Ratio of Regular Bipyramid given Total Height

Variable Name

GoSurface to Volume Ratio of Regular Bipyramid Formula