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Spherical Cap Radius of Spherical Sector given Surface to Volume Ratio 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 = \frac{2 \cdot r Sphere \cdot h Cap \cdot R A/V}{3} - (2 \cdot h Cap)

r_Cap - Spherical Cap Radius of Spherical Sector?r_Sphere - Spherical Radius of Spherical Sector?h_Cap - Spherical Cap Height of Spherical Sector?R_A/V - Surface to Volume Ratio of Spherical Sector?

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

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

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

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

8 = \frac{2 \cdot 10 \cdot 4 \cdot 0.6}{3} - (2 \cdot 4)

8m = \frac{2 \cdot 10m \cdot 4m \cdot 0.6m⁻¹}{3} - (2 \cdot 4m)

8 = \frac{2 \cdot 10 \cdot 4 \cdot 0.6}{3} - (2 \cdot 4)

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r Cap = \frac{2 \cdot 10m \cdot 4m \cdot 0.6m⁻¹}{3} - (2 \cdot 4m)

Next Step Prepare to Evaluate

∴

r Cap = \frac{2 \cdot 10 \cdot 4 \cdot 0.6}{3} - (2 \cdot 4)

LAST Step Evaluate

∴

r Cap = 8m

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

Variables

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 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

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

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: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Spherical Sector

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 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 given Surface to Volume Ratio?

Spherical Cap Radius of Spherical Sector given Surface to Volume Ratio evaluator uses 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) to evaluate the Spherical Cap Radius of Spherical Sector, Spherical Cap Radius of Spherical Sector given Surface to Volume Ratio 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 surface to volume ratio. Spherical Cap Radius of Spherical Sector is denoted by r_Cap symbol.

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

FAQs on Spherical Cap Radius of Spherical Sector given Surface to Volume Ratio

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

The formula of Spherical Cap Radius of Spherical Sector given Surface to Volume Ratio is expressed as 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). Here is an example- 8 = (2*10*4*0.6)/3-(2*4).

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

With Spherical Radius of Spherical Sector (r_Sphere), Spherical Cap Height of Spherical Sector (h_Cap) & Surface to Volume Ratio of Spherical Sector (R_A/V) we can find Spherical Cap Radius of Spherical Sector given Surface to Volume Ratio using the formula - 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).

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=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 given Surface to Volume Ratio be negative?

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

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

Spherical Cap Radius of Spherical Sector given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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

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

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

Other Formulas to find Spherical Cap Radius of Spherical Sector

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

FAQs on Spherical Cap Radius of Spherical Sector given Surface to Volume Ratio

Variable Name

GoSpherical Cap Radius of Spherical Sector Formula

GoSpherical Cap Radius of Spherical Sector given Total Surface Area Formula