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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
RA/V=(23V2πrSphere2)+rCap2rSphere3V2πrSphere23
RA/V - Surface to Volume Ratio of Spherical Sector?V - Volume of Spherical Sector?rSphere - Spherical Radius of Spherical Sector?rCap - Spherical Cap Radius of Spherical Sector?π - Archimedes' constant?

Surface to Volume Ratio of Spherical Sector given Volume Example

With values
With units
Only example

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

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

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

0.5992Edit=(23840Edit23.141610Edit2)+8Edit210Edit3840Edit23.141610Edit23
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Surface to Volume Ratio of Spherical Sector given Volume Solution

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

FIRST Step Consider the formula
RA/V=(23V2πrSphere2)+rCap2rSphere3V2πrSphere23
Next Step Substitute values of Variables
RA/V=(238402π10m2)+8m210m38402π10m23
Next Step Substitute values of Constants
RA/V=(2384023.141610m2)+8m210m384023.141610m23
Next Step Prepare to Evaluate
RA/V=(2384023.1416102)+8210384023.14161023
Next Step Evaluate
RA/V=0.599199300341885m⁻¹
LAST Step Rounding Answer
RA/V=0.5992m⁻¹

Surface to Volume Ratio of Spherical Sector given Volume 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: RA/V
Measurement: Reciprocal LengthUnit: m⁻¹
Note: Value should be greater than 0.
Volume of Spherical Sector
Volume of Spherical Sector is the amount of three dimensional space occupied by the Spherical Sector.
Symbol: V
Measurement: VolumeUnit:
Note: Value should be greater than 0.
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: rSphere
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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: rCap
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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
RA/V=(2hCap)+rCap(rCap2hCap+hCap)hCap3
​Go Surface to Volume Ratio of Spherical Sector given Total Surface Area and Spherical Cap Radius
RA/V=(2hCap)+rCap2TSAπ((2hCap)+rCap)hCap3
​Go Surface to Volume Ratio of Spherical Sector given Volume and Spherical Cap Height
RA/V=(2hCap)+rCap2hCap33V2πhCap
​Go Surface to Volume Ratio of Spherical Sector
RA/V=(2hCap)+hCap((2rSphere)-hCap)2rSpherehCap3

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

Surface to Volume Ratio of Spherical Sector given Volume evaluator uses Surface to Volume Ratio of Spherical Sector = ((2*(3*Volume of Spherical Sector)/(2*pi*Spherical Radius of Spherical Sector^2))+Spherical Cap Radius of Spherical Sector)/(2*Spherical Radius of Spherical Sector*((3*Volume of Spherical Sector)/(2*pi*Spherical Radius of Spherical Sector^2))/3) to evaluate the Surface to Volume Ratio of Spherical Sector, Surface to Volume Ratio of Spherical Sector given Volume 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. Surface to Volume Ratio of Spherical Sector is denoted by RA/V symbol.

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

FAQs on Surface to Volume Ratio of Spherical Sector given Volume

What is the formula to find Surface to Volume Ratio of Spherical Sector given Volume?
The formula of Surface to Volume Ratio of Spherical Sector given Volume is expressed as Surface to Volume Ratio of Spherical Sector = ((2*(3*Volume of Spherical Sector)/(2*pi*Spherical Radius of Spherical Sector^2))+Spherical Cap Radius of Spherical Sector)/(2*Spherical Radius of Spherical Sector*((3*Volume of Spherical Sector)/(2*pi*Spherical Radius of Spherical Sector^2))/3). Here is an example- 0.599199 = ((2*(3*840)/(2*pi*10^2))+8)/(2*10*((3*840)/(2*pi*10^2))/3).
How to calculate Surface to Volume Ratio of Spherical Sector given Volume?
With Volume of Spherical Sector (V), Spherical Radius of Spherical Sector (rSphere) & Spherical Cap Radius of Spherical Sector (rCap) we can find Surface to Volume Ratio of Spherical Sector given Volume using the formula - Surface to Volume Ratio of Spherical Sector = ((2*(3*Volume of Spherical Sector)/(2*pi*Spherical Radius of Spherical Sector^2))+Spherical Cap Radius of Spherical Sector)/(2*Spherical Radius of Spherical Sector*((3*Volume of Spherical Sector)/(2*pi*Spherical Radius of Spherical Sector^2))/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)OpenImg
  • 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)OpenImg
  • 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)))OpenImg
Can the Surface to Volume Ratio of Spherical Sector given Volume be negative?
No, the Surface to Volume Ratio of Spherical Sector given Volume, measured in Reciprocal Length cannot be negative.
Which unit is used to measure Surface to Volume Ratio of Spherical Sector given Volume?
Surface to Volume Ratio of Spherical Sector given Volume 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 can be measured.
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