FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Spherical Radius of Spherical Sector given Total Surface Area Formula

GoSpherical Radius of Spherical Sector Formula

GoSpherical Radius of Spherical Sector given Surface to Volume Ratio Formula

Fx Copy

LaTeX Copy

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

r_Sphere - Spherical Radius of Spherical Sector?TSA - Total Surface Area of Spherical Sector?h_Cap - Spherical Cap Height of Spherical Sector?r_Cap - Spherical Cap Radius of Spherical Sector?π - Archimedes' constant?

Spherical Radius of Spherical Sector given Total Surface Area Example

With values

With units

Only example

Here is how the Spherical Radius of Spherical Sector given Total Surface Area equation looks like with Values.

Here is how the Spherical Radius of Spherical Sector given Total Surface Area equation looks like with Units.

Here is how the Spherical Radius of Spherical Sector given Total Surface Area equation looks like.

9.9472 = \frac{500}{3.1416 \cdot ((2 \cdot 4) + 8)}

9.9472m = \frac{500m²}{3.1416 \cdot ((2 \cdot 4m) + 8m)}

9.9472 = \frac{500}{3.1416 \cdot ((2 \cdot 4) + 8)}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Spherical Radius of Spherical Sector given Total Surface Area

Spherical Radius of Spherical Sector given Total Surface Area Solution

Follow our step by step solution on how to calculate Spherical Radius of Spherical Sector given Total Surface Area?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r Sphere = \frac{500m²}{π \cdot ((2 \cdot 4m) + 8m)}

Next Step Substitute values of Constants

∴

r Sphere = \frac{500m²}{3.1416 \cdot ((2 \cdot 4m) + 8m)}

Next Step Prepare to Evaluate

∴

r Sphere = \frac{500}{3.1416 \cdot ((2 \cdot 4) + 8)}

Next Step Evaluate

∴

r Sphere = 9.94718394324346m

LAST Step Rounding Answer

∴

r Sphere = 9.9472m

Spherical Radius of Spherical Sector given Total Surface Area Formula Elements

Variables

Constants

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

Total Surface Area of Spherical Sector

Total Surface Area of Spherical Sector is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Spherical Sector.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 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

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

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 Surface to Volume Ratio

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

Go Spherical Radius of Spherical Sector given Volume

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

How to Evaluate Spherical Radius of Spherical Sector given Total Surface Area?

Spherical Radius of Spherical Sector given Total Surface Area evaluator uses 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)) to evaluate the Spherical Radius of Spherical Sector, Spherical Radius of Spherical Sector given Total Surface Area 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 total surface area. Spherical Radius of Spherical Sector is denoted by r_Sphere symbol.

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

FAQs on Spherical Radius of Spherical Sector given Total Surface Area

What is the formula to find Spherical Radius of Spherical Sector given Total Surface Area?

The formula of Spherical Radius of Spherical Sector given Total Surface Area is expressed as 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)). Here is an example- 9.947184 = 500/(pi*((2*4)+8)).

How to calculate Spherical Radius of Spherical Sector given Total Surface Area?

With Total Surface Area of Spherical Sector (TSA), Spherical Cap Height of Spherical Sector (h_Cap) & Spherical Cap Radius of Spherical Sector (r_Cap) we can find Spherical Radius of Spherical Sector given Total Surface Area using the formula - 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)). This formula also uses Archimedes' constant .

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=((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)
Spherical Radius of Spherical Sector=sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector))

Can the Spherical Radius of Spherical Sector given Total Surface Area be negative?

No, the Spherical Radius of Spherical Sector given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Spherical Radius of Spherical Sector given Total Surface Area?

Spherical Radius of Spherical Sector given Total Surface Area 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 Total Surface Area can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Spherical Radius of Spherical Sector given Total Surface Area Formula

​GoSpherical Radius of Spherical Sector Formula

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

Spherical Radius of Spherical Sector given Total Surface Area Example

Spherical Radius of Spherical Sector given Total Surface Area Solution

Spherical Radius of Spherical Sector given Total Surface Area Formula Elements

Other Formulas to find Spherical Radius of Spherical Sector

How to Evaluate Spherical Radius of Spherical Sector given Total Surface Area?

FAQs on Spherical Radius of Spherical Sector given Total Surface Area

Variable Name

GoSpherical Radius of Spherical Sector Formula

GoSpherical Radius of Spherical Sector given Surface to Volume Ratio Formula