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Spherical Cap Radius of Spherical Sector Formula

GoSpherical Cap Radius of Spherical Sector given Total Surface Area Formula

GoSpherical Cap Radius of Spherical Sector given Surface to Volume Ratio 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 r Sphere) - h Cap)}

r_Cap - Spherical Cap Radius of Spherical Sector?h_Cap - Spherical Cap Height of Spherical Sector?r_Sphere - Spherical Radius of Spherical Sector?

Spherical Cap Radius of Spherical Sector Example

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

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

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

8 = \sqrt{4 \cdot ((2 \cdot 10) - 4)}

8m = \sqrt{4m \cdot ((2 \cdot 10m) - 4m)}

8 = \sqrt{4 \cdot ((2 \cdot 10) - 4)}

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Spherical Cap Radius of Spherical Sector Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r Cap = \sqrt{4m \cdot ((2 \cdot 10m) - 4m)}

Next Step Prepare to Evaluate

∴

r Cap = \sqrt{4 \cdot ((2 \cdot 10) - 4)}

LAST Step Evaluate

∴

r Cap = 8m

Spherical Cap Radius of Spherical Sector Formula Elements

Variables

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

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

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 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}})}

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?

Spherical Cap Radius of Spherical Sector evaluator uses 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)) to evaluate the Spherical Cap Radius of Spherical Sector, Spherical Cap Radius of Spherical Sector 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. Spherical Cap Radius of Spherical Sector is denoted by r_Cap symbol.

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

FAQs on Spherical Cap Radius of Spherical Sector

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

The formula of Spherical Cap Radius of Spherical Sector is expressed as 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)). Here is an example- 8 = sqrt(4*((2*10)-4)).

How to calculate Spherical Cap Radius of Spherical Sector?

With Spherical Cap Height of Spherical Sector (h_Cap) & Spherical Radius of Spherical Sector (r_Sphere) we can find Spherical Cap Radius of Spherical Sector using the formula - 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)). This formula also uses 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=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)
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)))

Can the Spherical Cap Radius of Spherical Sector be negative?

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

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

Spherical Cap Radius of Spherical Sector 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 can be measured.

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Spherical Cap Radius of Spherical Sector Formula

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

​GoSpherical Cap Radius of Spherical Sector given Surface to Volume Ratio Formula

Spherical Cap Radius of Spherical Sector Example

Spherical Cap Radius of Spherical Sector Solution

Spherical Cap Radius of Spherical Sector Formula Elements

Other Formulas to find Spherical Cap Radius of Spherical Sector

How to Evaluate Spherical Cap Radius of Spherical Sector?

FAQs on Spherical Cap Radius of Spherical Sector

Variable Name

GoSpherical Cap Radius of Spherical Sector given Total Surface Area Formula

GoSpherical Cap Radius of Spherical Sector given Surface to Volume Ratio Formula