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Spherical Cap Radius of Spherical Sector given Volume Formula

GoSpherical Cap Radius of Spherical Sector Formula

GoSpherical Cap Radius of Spherical Sector given Total Surface Area Formula

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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. Check FAQs

r Cap = \sqrt{\frac{3 \cdot V}{2 \cdot π \cdot {r Sphere}^{2}} \cdot ((2 \cdot r Sphere) - \frac{3 \cdot V}{2 \cdot π \cdot {r Sphere}^{2}})}

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

Spherical Cap Radius of Spherical Sector given Volume Example

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

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

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

8.008 = \sqrt{\frac{3 \cdot 840}{2 \cdot 3.1416 \cdot 10^{2}} \cdot ((2 \cdot 10) - \frac{3 \cdot 840}{2 \cdot 3.1416 \cdot 10^{2}})}

8.008m = \sqrt{\frac{3 \cdot 840m³}{2 \cdot 3.1416 \cdot {10m}^{2}} \cdot ((2 \cdot 10m) - \frac{3 \cdot 840m³}{2 \cdot 3.1416 \cdot {10m}^{2}})}

8.008 = \sqrt{\frac{3 \cdot 840}{2 \cdot 3.1416 \cdot 10^{2}} \cdot ((2 \cdot 10) - \frac{3 \cdot 840}{2 \cdot 3.1416 \cdot 10^{2}})}

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Spherical Cap Radius of Spherical Sector given Volume Solution

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

FIRST Step Consider the formula

r Cap = \sqrt{\frac{3 \cdot V}{2 \cdot π \cdot {r Sphere}^{2}} \cdot ((2 \cdot r Sphere) - \frac{3 \cdot V}{2 \cdot π \cdot {r Sphere}^{2}})}

Next Step Substitute values of Variables

∴

r Cap = \sqrt{\frac{3 \cdot 840m³}{2 \cdot π \cdot {10m}^{2}} \cdot ((2 \cdot 10m) - \frac{3 \cdot 840m³}{2 \cdot π \cdot {10m}^{2}})}

Next Step Substitute values of Constants

∴

r Cap = \sqrt{\frac{3 \cdot 840m³}{2 \cdot 3.1416 \cdot {10m}^{2}} \cdot ((2 \cdot 10m) - \frac{3 \cdot 840m³}{2 \cdot 3.1416 \cdot {10m}^{2}})}

Next Step Prepare to Evaluate

∴

r Cap = \sqrt{\frac{3 \cdot 840}{2 \cdot 3.1416 \cdot 10^{2}} \cdot ((2 \cdot 10) - \frac{3 \cdot 840}{2 \cdot 3.1416 \cdot 10^{2}})}

Next Step Evaluate

∴

r Cap = 8.00801724543958m

LAST Step Rounding Answer

∴

r Cap = 8.008m

Spherical Cap Radius of Spherical Sector given Volume Formula Elements

Variables

Constants

Functions

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

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

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 Cap Radius of Spherical Sector

Go Spherical Cap Radius of Spherical Sector

r Cap = \sqrt{h Cap \cdot ((2 \cdot r Sphere) - h Cap)}

Go Spherical Cap Radius of Spherical Sector given Total Surface Area

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

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

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

Go Spherical Cap Radius of Spherical Sector given Volume and Spherical Cap Height

r Cap = \sqrt{h Cap \cdot ((2 \cdot \sqrt{\frac{3 \cdot V}{2 \cdot π \cdot h Cap}}) - h Cap)}

How to Evaluate Spherical Cap Radius of Spherical Sector given Volume?

Spherical Cap Radius of Spherical Sector given Volume evaluator uses Spherical Cap Radius of Spherical Sector = sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Radius of Spherical Sector^2)*((2*Spherical Radius of Spherical Sector)-(3*Volume of Spherical Sector)/(2*pi*Spherical Radius of Spherical Sector^2))) to evaluate the Spherical Cap Radius of Spherical Sector, Spherical Cap Radius of Spherical Sector given Volume formula is defined as the distance between center and any point on the circumference of the circle at the bottom level of the cap surface of the Spherical Sector, calculated using its volume. Spherical Cap Radius of Spherical Sector is denoted by r_Cap symbol.

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

FAQs on Spherical Cap Radius of Spherical Sector given Volume

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

The formula of Spherical Cap Radius of Spherical Sector given Volume is expressed as Spherical Cap Radius of Spherical Sector = sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Radius of Spherical Sector^2)*((2*Spherical Radius of Spherical Sector)-(3*Volume of Spherical Sector)/(2*pi*Spherical Radius of Spherical Sector^2))). Here is an example- 8.008017 = sqrt((3*840)/(2*pi*10^2)*((2*10)-(3*840)/(2*pi*10^2))).

How to calculate Spherical Cap Radius of Spherical Sector given Volume?

With Volume of Spherical Sector (V) & Spherical Radius of Spherical Sector (r_Sphere) we can find Spherical Cap Radius of Spherical Sector given Volume using the formula - Spherical Cap Radius of Spherical Sector = sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Radius of Spherical Sector^2)*((2*Spherical Radius of Spherical Sector)-(3*Volume of Spherical Sector)/(2*pi*Spherical Radius of Spherical Sector^2))). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Spherical Cap Radius of Spherical Sector?

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

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

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

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

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

Spherical Cap 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 Cap Radius of Spherical Sector given Volume can be measured.

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Spherical Cap Radius of Spherical Sector given Volume Formula

​GoSpherical Cap Radius of Spherical Sector Formula

​GoSpherical Cap Radius of Spherical Sector given Total Surface Area Formula

Spherical Cap Radius of Spherical Sector given Volume Example

Spherical Cap Radius of Spherical Sector given Volume Solution

Spherical Cap Radius of Spherical Sector given Volume Formula Elements

Other Formulas to find Spherical Cap Radius of Spherical Sector

How to Evaluate Spherical Cap Radius of Spherical Sector given Volume?

FAQs on Spherical Cap Radius of Spherical Sector given Volume

Variable Name

GoSpherical Cap Radius of Spherical Sector Formula

GoSpherical Cap Radius of Spherical Sector given Total Surface Area Formula