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Surface to Volume Ratio of Spherical Sector given Total Surface Area 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{\frac{TSA}{π \cdot r Sphere}}{\frac{r Sphere \cdot (\frac{TSA}{π \cdot r Sphere} - r Cap)}{3}}

R_A/V - Surface to Volume Ratio of Spherical Sector?TSA - Total Surface Area of Spherical Sector?r_Sphere - Spherical Radius of Spherical Sector?r_Cap - Spherical Cap Radius of Spherical Sector?π - Archimedes' constant?

Surface to Volume Ratio of Spherical Sector given Total Surface Area Example

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

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

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

0.6032 = \frac{\frac{500}{3.1416 \cdot 10}}{\frac{10 \cdot (\frac{500}{3.1416 \cdot 10} - 8)}{3}}

0.6032m⁻¹ = \frac{\frac{500m²}{3.1416 \cdot 10m}}{\frac{10m \cdot (\frac{500m²}{3.1416 \cdot 10m} - 8m)}{3}}

0.6032 = \frac{\frac{500}{3.1416 \cdot 10}}{\frac{10 \cdot (\frac{500}{3.1416 \cdot 10} - 8)}{3}}

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Surface to Volume Ratio of Spherical Sector given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{\frac{500m²}{π \cdot 10m}}{\frac{10m \cdot (\frac{500m²}{π \cdot 10m} - 8m)}{3}}

Next Step Substitute values of Constants

∴

R A/V = \frac{\frac{500m²}{3.1416 \cdot 10m}}{\frac{10m \cdot (\frac{500m²}{3.1416 \cdot 10m} - 8m)}{3}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{\frac{500}{3.1416 \cdot 10}}{\frac{10 \cdot (\frac{500}{3.1416 \cdot 10} - 8)}{3}}

Next Step Evaluate

∴

R A/V = 0.603202795208091m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.6032m⁻¹

Surface to Volume Ratio of Spherical Sector given Total Surface Area Formula Elements

Variables

Constants

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

Total Surface Area of Spherical Sector

Total Surface Area of Spherical Sector is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Spherical Sector.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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

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

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

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

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}}

How to Evaluate Surface to Volume Ratio of Spherical Sector given Total Surface Area?

Surface to Volume Ratio of Spherical Sector given Total Surface Area evaluator uses Surface to Volume Ratio of Spherical Sector = (Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector))/((Spherical Radius of Spherical Sector*(Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector)-Spherical Cap Radius of Spherical Sector))/3) to evaluate the Surface to Volume Ratio of Spherical Sector, Surface to Volume Ratio of Spherical Sector given Total Surface Area 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 total surface area. 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 Total Surface Area using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Spherical Sector given Total Surface Area, enter Total Surface Area of Spherical Sector (TSA), Spherical Radius of Spherical Sector (r_Sphere) & Spherical Cap Radius of Spherical Sector (r_Cap) and hit the calculate button.

FAQs on Surface to Volume Ratio of Spherical Sector given Total Surface Area

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

The formula of Surface to Volume Ratio of Spherical Sector given Total Surface Area is expressed as Surface to Volume Ratio of Spherical Sector = (Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector))/((Spherical Radius of Spherical Sector*(Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector)-Spherical Cap Radius of Spherical Sector))/3). Here is an example- 0.603203 = (500/(pi*10))/((10*(500/(pi*10)-8))/3).

How to calculate Surface to Volume Ratio of Spherical Sector given Total Surface Area?

With Total Surface Area of Spherical Sector (TSA), Spherical Radius of Spherical Sector (r_Sphere) & Spherical Cap Radius of Spherical Sector (r_Cap) we can find Surface to Volume Ratio of Spherical Sector given Total Surface Area using the formula - Surface to Volume Ratio of Spherical Sector = (Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector))/((Spherical Radius of Spherical Sector*(Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector)-Spherical Cap Radius of Spherical Sector))/3). This formula also uses Archimedes' constant .

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 given Total Surface Area be negative?

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

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

Surface to Volume Ratio of Spherical Sector given Total Surface Area 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 Total Surface Area can be measured.

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Surface to Volume Ratio of Spherical Sector given Total Surface Area 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 Total Surface Area Example

Surface to Volume Ratio of Spherical Sector given Total Surface Area Solution

Surface to Volume Ratio of Spherical Sector given Total Surface Area Formula Elements

Other Formulas to find Surface to Volume Ratio of Spherical Sector

How to Evaluate Surface to Volume Ratio of Spherical Sector given Total Surface Area?

FAQs on Surface to Volume Ratio of Spherical Sector given Total Surface Area

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