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Spherical Cap Radius of Spherical Sector given Volume and Spherical Cap Height 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{h Cap \cdot ((2 \cdot \sqrt{\frac{3 \cdot V}{2 \cdot π \cdot h Cap}}) - h Cap)}

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

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

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

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

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

8.0067 = \sqrt{4 \cdot ((2 \cdot \sqrt{\frac{3 \cdot 840}{2 \cdot 3.1416 \cdot 4}}) - 4)}

8.0067m = \sqrt{4m \cdot ((2 \cdot \sqrt{\frac{3 \cdot 840m³}{2 \cdot 3.1416 \cdot 4m}}) - 4m)}

8.0067 = \sqrt{4 \cdot ((2 \cdot \sqrt{\frac{3 \cdot 840}{2 \cdot 3.1416 \cdot 4}}) - 4)}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r Cap = \sqrt{4m \cdot ((2 \cdot \sqrt{\frac{3 \cdot 840m³}{2 \cdot π \cdot 4m}}) - 4m)}

Next Step Substitute values of Constants

∴

r Cap = \sqrt{4m \cdot ((2 \cdot \sqrt{\frac{3 \cdot 840m³}{2 \cdot 3.1416 \cdot 4m}}) - 4m)}

Next Step Prepare to Evaluate

∴

r Cap = \sqrt{4 \cdot ((2 \cdot \sqrt{\frac{3 \cdot 840}{2 \cdot 3.1416 \cdot 4}}) - 4)}

Next Step Evaluate

∴

r Cap = 8.0066830921109m

LAST Step Rounding Answer

∴

r Cap = 8.0067m

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

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

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

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

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}})}

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

Spherical Cap Radius of Spherical Sector given Volume and Spherical Cap Height evaluator uses Spherical Cap Radius of Spherical Sector = sqrt(Spherical Cap Height of Spherical Sector*((2*sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector)))-Spherical Cap Height of Spherical Sector)) to evaluate the Spherical Cap Radius of Spherical Sector, Spherical Cap Radius of Spherical Sector given Volume and Spherical Cap Height 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 and spherical cap height. Spherical Cap Radius of Spherical Sector is denoted by r_Cap symbol.

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

FAQs on Spherical Cap Radius of Spherical Sector given Volume and Spherical Cap Height

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

The formula of Spherical Cap Radius of Spherical Sector given Volume and Spherical Cap Height is expressed as Spherical Cap Radius of Spherical Sector = sqrt(Spherical Cap Height of Spherical Sector*((2*sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector)))-Spherical Cap Height of Spherical Sector)). Here is an example- 8.006683 = sqrt(4*((2*sqrt((3*840)/(2*pi*4)))-4)).

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

With Spherical Cap Height of Spherical Sector (h_Cap) & Volume of Spherical Sector (V) we can find Spherical Cap Radius of Spherical Sector given Volume and Spherical Cap Height using the formula - Spherical Cap Radius of Spherical Sector = sqrt(Spherical Cap Height of Spherical Sector*((2*sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector)))-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 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 and Spherical Cap Height be negative?

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

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

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

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

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

Spherical Cap Radius of Spherical Sector given Volume and Spherical Cap Height Formula Elements

Other Formulas to find Spherical Cap Radius of Spherical Sector

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

FAQs on Spherical Cap Radius of Spherical Sector given Volume and Spherical Cap Height

Variable Name

GoSpherical Cap Radius of Spherical Sector Formula

GoSpherical Cap Radius of Spherical Sector given Total Surface Area Formula