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Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height Formula

GoSurface to Volume Ratio of Spherical Sector given Spherical Cap Radius Formula

GoSurface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius Formula

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Surface to Volume Ratio of Spherical Sector is defined as the numerical ratio of the total surface area of a Spherical Sector to the volume of the Spherical Sector. Check FAQs

R A/V = \frac{(2 \cdot h Cap) + r Cap}{2 \cdot \frac{h Cap}{3} \cdot \sqrt{\frac{3 \cdot V}{2 \cdot π \cdot h Cap}}}

R_A/V - Surface to Volume Ratio of Spherical Sector?h_Cap - Spherical Cap Height of Spherical Sector?r_Cap - Spherical Cap Radius of Spherical Sector?V - Volume of Spherical Sector?π - Archimedes' constant?

Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height Example

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Here is how the Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height equation looks like with Values.

Here is how the Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height equation looks like with Units.

Here is how the Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height equation looks like.

0.5992 = \frac{(2 \cdot 4) + 8}{2 \cdot \frac{4}{3} \cdot \sqrt{\frac{3 \cdot 840}{2 \cdot 3.1416 \cdot 4}}}

0.5992m⁻¹ = \frac{(2 \cdot 4m) + 8m}{2 \cdot \frac{4m}{3} \cdot \sqrt{\frac{3 \cdot 840m³}{2 \cdot 3.1416 \cdot 4m}}}

0.5992 = \frac{(2 \cdot 4) + 8}{2 \cdot \frac{4}{3} \cdot \sqrt{\frac{3 \cdot 840}{2 \cdot 3.1416 \cdot 4}}}

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Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height?

FIRST Step Consider the formula

R A/V = \frac{(2 \cdot h Cap) + r Cap}{2 \cdot \frac{h Cap}{3} \cdot \sqrt{\frac{3 \cdot V}{2 \cdot π \cdot h Cap}}}

Next Step Substitute values of Variables

∴

R A/V = \frac{(2 \cdot 4m) + 8m}{2 \cdot \frac{4m}{3} \cdot \sqrt{\frac{3 \cdot 840m³}{2 \cdot π \cdot 4m}}}

Next Step Substitute values of Constants

∴

R A/V = \frac{(2 \cdot 4m) + 8m}{2 \cdot \frac{4m}{3} \cdot \sqrt{\frac{3 \cdot 840m³}{2 \cdot 3.1416 \cdot 4m}}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{(2 \cdot 4) + 8}{2 \cdot \frac{4}{3} \cdot \sqrt{\frac{3 \cdot 840}{2 \cdot 3.1416 \cdot 4}}}

Next Step Evaluate

∴

R A/V = 0.599198765361096m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.5992m⁻¹

Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height Formula Elements

Variables

Constants

Functions

Surface to Volume Ratio of Spherical Sector

Surface to Volume Ratio of Spherical Sector is defined as the numerical ratio of the total surface area of a Spherical Sector to the volume of the Spherical Sector.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Spherical Sector

Spherical Cap Height of Spherical Sector

Spherical Cap Height of Spherical Sector is the vertical distance from the topmost point to the bottom level of the cap surface of the Spherical Sector.

Symbol: h_Cap

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Spherical Cap Height of Spherical Sector

Spherical Cap Radius of Spherical Sector

Spherical Cap Radius of Spherical Sector is defined as the distance between centre and any point on the circumference of the circle at the bottom level of the cap surface of the Spherical Sector.

Symbol: r_Cap

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Spherical Cap Radius of Spherical Sector

Volume of Spherical Sector

Volume of Spherical Sector is the amount of three dimensional space occupied by the Spherical Sector.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Spherical Sector

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

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 Spherical Sector

Go Surface to Volume Ratio of Spherical Sector given Spherical Cap Radius

R A/V = \frac{(2 \cdot h Cap) + r Cap}{(\frac{{r Cap}^{2}}{h Cap} + h Cap) \cdot \frac{h Cap}{3}}

Go Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius

R A/V = \frac{(2 \cdot h Cap) + r Cap}{2 \cdot \frac{TSA}{π \cdot ((2 \cdot h Cap) + r Cap)} \cdot \frac{h Cap}{3}}

Go Surface to Volume Ratio of Spherical Sector

R A/V = \frac{(2 \cdot h Cap) + \sqrt{h Cap \cdot ((2 \cdot r Sphere) - h Cap)}}{2 \cdot r Sphere \cdot \frac{h Cap}{3}}

Go Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Height

R A/V = \frac{(2 \cdot h Cap) + (\frac{TSA}{π \cdot r Sphere} - (2 \cdot h Cap))}{2 \cdot r Sphere \cdot \frac{h Cap}{3}}

How to Evaluate Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height?

Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height evaluator uses Surface to Volume Ratio of Spherical Sector = ((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(2*Spherical Cap Height of Spherical Sector/3*sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector))) to evaluate the Surface to Volume Ratio of Spherical Sector, Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height formula is defined as the numerical ratio of the total surface area of a Spherical Sector to the volume of the Spherical Sector, calculated using its volume and spherical cap height. Surface to Volume Ratio of Spherical Sector is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height, enter Spherical Cap Height of Spherical Sector (h_Cap), Spherical Cap Radius of Spherical Sector (r_Cap) & Volume of Spherical Sector (V) and hit the calculate button.

FAQs on Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height

What is the formula to find Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height?

The formula of Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height is expressed as Surface to Volume Ratio of Spherical Sector = ((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(2*Spherical Cap Height of Spherical Sector/3*sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector))). Here is an example- 0.599199 = ((2*4)+8)/(2*4/3*sqrt((3*840)/(2*pi*4))).

How to calculate Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height?

With Spherical Cap Height of Spherical Sector (h_Cap), Spherical Cap Radius of Spherical Sector (r_Cap) & Volume of Spherical Sector (V) we can find Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height using the formula - Surface to Volume Ratio of Spherical Sector = ((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(2*Spherical Cap Height of Spherical Sector/3*sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector))). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Surface to Volume Ratio of Spherical Sector?

Here are the different ways to Calculate Surface to Volume Ratio of Spherical Sector-

Surface to Volume Ratio of Spherical Sector=((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(((Spherical Cap Radius of Spherical Sector^2)/Spherical Cap Height of Spherical Sector+Spherical Cap Height of Spherical Sector)*Spherical Cap Height of Spherical Sector/3)
Surface to Volume Ratio of Spherical Sector=((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(2*Total Surface Area of Spherical Sector/(pi*((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector))*Spherical Cap Height of Spherical Sector/3)
Surface to Volume Ratio of Spherical Sector=((2*Spherical Cap Height of Spherical Sector)+sqrt(Spherical Cap Height of Spherical Sector*((2*Spherical Radius of Spherical Sector)-Spherical Cap Height of Spherical Sector)))/(2*Spherical Radius of Spherical Sector*Spherical Cap Height of Spherical Sector/3)

Can the Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height be negative?

No, the Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height?

Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap 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 Spherical Sector given Volume and Spherical Cap Height can be measured.

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Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height Formula

​GoSurface to Volume Ratio of Spherical Sector given Spherical Cap Radius Formula

​GoSurface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius Formula

Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height Example

Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height Solution

Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height Formula Elements

Other Formulas to find Surface to Volume Ratio of Spherical Sector

How to Evaluate Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height?

FAQs on Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height

Variable Name

GoSurface to Volume Ratio of Spherical Sector given Spherical Cap Radius Formula

GoSurface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius Formula