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Surface to Volume Ratio of Spherical Sector 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) + \sqrt{h Cap \cdot ((2 \cdot r Sphere) - h Cap)}}{2 \cdot r Sphere \cdot \frac{h Cap}{3}}

R_A/V - Surface to Volume Ratio of Spherical Sector?h_Cap - Spherical Cap Height of Spherical Sector?r_Sphere - Spherical Radius of Spherical Sector?

Surface to Volume Ratio of Spherical Sector Example

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

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

Here is how the Surface to Volume Ratio of Spherical Sector equation looks like.

0.6 = \frac{(2 \cdot 4) + \sqrt{4 \cdot ((2 \cdot 10) - 4)}}{2 \cdot 10 \cdot \frac{4}{3}}

0.6m⁻¹ = \frac{(2 \cdot 4m) + \sqrt{4m \cdot ((2 \cdot 10m) - 4m)}}{2 \cdot 10m \cdot \frac{4m}{3}}

0.6 = \frac{(2 \cdot 4) + \sqrt{4 \cdot ((2 \cdot 10) - 4)}}{2 \cdot 10 \cdot \frac{4}{3}}

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Surface to Volume Ratio of Spherical Sector Solution

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

FIRST Step Consider the formula

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}}

Next Step Substitute values of Variables

∴

R A/V = \frac{(2 \cdot 4m) + \sqrt{4m \cdot ((2 \cdot 10m) - 4m)}}{2 \cdot 10m \cdot \frac{4m}{3}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{(2 \cdot 4) + \sqrt{4 \cdot ((2 \cdot 10) - 4)}}{2 \cdot 10 \cdot \frac{4}{3}}

LAST Step Evaluate

∴

R A/V = 0.6m⁻¹

Surface to Volume Ratio of Spherical Sector Formula Elements

Variables

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 Radius of Spherical Sector

Spherical Radius of Spherical Sector is the distance from centre to any point on the surface of the sphere from which the Spherical Sector is cut.

Symbol: r_Sphere

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Spherical Radius of Spherical Sector

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 given Volume and Spherical Cap Height

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}}}

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?

Surface to Volume Ratio of Spherical Sector evaluator uses 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) to evaluate the Surface to Volume Ratio of Spherical Sector, Surface to Volume Ratio of Spherical Sector formula is defined as the numerical ratio of the total surface area of a Spherical Sector to the volume of the Spherical Sector. Surface to Volume Ratio of Spherical Sector is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Spherical Sector

What is the formula to find Surface to Volume Ratio of Spherical Sector?

The formula of Surface to Volume Ratio of Spherical Sector is expressed as 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). Here is an example- 0.6 = ((2*4)+sqrt(4*((2*10)-4)))/(2*10*4/3).

How to calculate Surface to Volume Ratio of Spherical Sector?

With Spherical Cap Height of Spherical Sector (h_Cap) & Spherical Radius of Spherical Sector (r_Sphere) we can find Surface to Volume Ratio of Spherical Sector using the formula - 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). This formula also uses 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)+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)))

Can the Surface to Volume Ratio of Spherical Sector be negative?

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

Which unit is used to measure Surface to Volume Ratio of Spherical Sector?

Surface to Volume Ratio of Spherical Sector 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 can be measured.

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Surface to Volume Ratio of Spherical Sector 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 Example

Surface to Volume Ratio of Spherical Sector Solution

Surface to Volume Ratio of Spherical Sector Formula Elements

Other Formulas to find Surface to Volume Ratio of Spherical Sector

How to Evaluate Surface to Volume Ratio of Spherical Sector?

FAQs on Surface to Volume Ratio of Spherical Sector

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