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Spherical Radius of Spherical Sector given Volume Formula

GoSpherical Radius of Spherical Sector Formula

GoSpherical Radius of Spherical Sector given Total Surface Area Formula

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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. Check FAQs

r Sphere = \sqrt{\frac{3 \cdot V}{2 \cdot π \cdot h Cap}}

r_Sphere - Spherical Radius of Spherical Sector?V - Volume of Spherical Sector?h_Cap - Spherical Cap Height of Spherical Sector?π - Archimedes' constant?

Spherical Radius of Spherical Sector given Volume Example

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Here is how the Spherical Radius of Spherical Sector given Volume equation looks like with Values.

Here is how the Spherical Radius of Spherical Sector given Volume equation looks like with Units.

Here is how the Spherical Radius of Spherical Sector given Volume equation looks like.

10.0134 = \sqrt{\frac{3 \cdot 840}{2 \cdot 3.1416 \cdot 4}}

10.0134m = \sqrt{\frac{3 \cdot 840m³}{2 \cdot 3.1416 \cdot 4m}}

10.0134 = \sqrt{\frac{3 \cdot 840}{2 \cdot 3.1416 \cdot 4}}

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Spherical Radius of Spherical Sector given Volume Solution

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

FIRST Step Consider the formula

r Sphere = \sqrt{\frac{3 \cdot V}{2 \cdot π \cdot h Cap}}

Next Step Substitute values of Variables

∴

r Sphere = \sqrt{\frac{3 \cdot 840m³}{2 \cdot π \cdot 4m}}

Next Step Substitute values of Constants

∴

r Sphere = \sqrt{\frac{3 \cdot 840m³}{2 \cdot 3.1416 \cdot 4m}}

Next Step Prepare to Evaluate

∴

r Sphere = \sqrt{\frac{3 \cdot 840}{2 \cdot 3.1416 \cdot 4}}

Next Step Evaluate

∴

r Sphere = 10.0133717671868m

LAST Step Rounding Answer

∴

r Sphere = 10.0134m

Spherical Radius of Spherical Sector given Volume Formula Elements

Variables

Constants

Functions

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

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

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

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 Spherical Radius of Spherical Sector

Go Spherical Radius of Spherical Sector

r Sphere = \frac{1}{2} \cdot (\frac{{r Cap}^{2}}{h Cap} + h Cap)

Go Spherical Radius of Spherical Sector given Total Surface Area

r Sphere = \frac{TSA}{π \cdot ((2 \cdot h Cap) + r Cap)}

Go Spherical Radius of Spherical Sector given Surface to Volume Ratio

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

How to Evaluate Spherical Radius of Spherical Sector given Volume?

Spherical Radius of Spherical Sector given Volume evaluator uses Spherical Radius of Spherical Sector = sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector)) to evaluate the Spherical Radius of Spherical Sector, Spherical Radius of Spherical Sector given Volume formula is defined as the distance from center to any point on the surface of the sphere from which the Spherical Sector is cut, calculated using its volume. Spherical Radius of Spherical Sector is denoted by r_Sphere symbol.

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

FAQs on Spherical Radius of Spherical Sector given Volume

What is the formula to find Spherical Radius of Spherical Sector given Volume?

The formula of Spherical Radius of Spherical Sector given Volume is expressed as Spherical Radius of Spherical Sector = sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector)). Here is an example- 10.01337 = sqrt((3*840)/(2*pi*4)).

How to calculate Spherical Radius of Spherical Sector given Volume?

With Volume of Spherical Sector (V) & Spherical Cap Height of Spherical Sector (h_Cap) we can find Spherical Radius of Spherical Sector given Volume using the formula - Spherical Radius of Spherical Sector = 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 Spherical Radius of Spherical Sector?

Here are the different ways to Calculate Spherical Radius of Spherical Sector-

Spherical Radius of Spherical Sector=1/2*((Spherical Cap Radius of Spherical Sector^2)/Spherical Cap Height of Spherical Sector+Spherical Cap Height of Spherical Sector)
Spherical Radius of Spherical Sector=Total Surface Area of Spherical Sector/(pi*((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector))
Spherical Radius of Spherical Sector=((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(2*Surface to Volume Ratio of Spherical Sector*Spherical Cap Height of Spherical Sector/3)

Can the Spherical Radius of Spherical Sector given Volume be negative?

No, the Spherical Radius of Spherical Sector given Volume, measured in Length cannot be negative.

Which unit is used to measure Spherical Radius of Spherical Sector given Volume?

Spherical Radius of Spherical Sector given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Spherical Radius of Spherical Sector given Volume can be measured.

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Spherical Radius of Spherical Sector given Volume Formula

​GoSpherical Radius of Spherical Sector Formula

​GoSpherical Radius of Spherical Sector given Total Surface Area Formula

Spherical Radius of Spherical Sector given Volume Example

Spherical Radius of Spherical Sector given Volume Solution

Spherical Radius of Spherical Sector given Volume Formula Elements

Other Formulas to find Spherical Radius of Spherical Sector

How to Evaluate Spherical Radius of Spherical Sector given Volume?

FAQs on Spherical Radius of Spherical Sector given Volume

Variable Name

GoSpherical Radius of Spherical Sector Formula

GoSpherical Radius of Spherical Sector given Total Surface Area Formula