FormulaDen.com

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

Spherical Cap Radius of Spherical Sector given Total Surface Area Formula

GoSpherical Cap Radius of Spherical Sector Formula

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

Fx Copy

LaTeX Copy

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

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

Spherical Cap Radius of Spherical Sector given Total Surface Area Example

With values

With units

Only example

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

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

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

7.9155 = \frac{500}{3.1416 \cdot 10} - (2 \cdot 4)

7.9155m = \frac{500m²}{3.1416 \cdot 10m} - (2 \cdot 4m)

7.9155 = \frac{500}{3.1416 \cdot 10} - (2 \cdot 4)

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 Cap Radius of Spherical Sector given Total Surface Area

Spherical Cap Radius of Spherical Sector given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r Cap = \frac{500m²}{π \cdot 10m} - (2 \cdot 4m)

Next Step Substitute values of Constants

∴

r Cap = \frac{500m²}{3.1416 \cdot 10m} - (2 \cdot 4m)

Next Step Prepare to Evaluate

∴

r Cap = \frac{500}{3.1416 \cdot 10} - (2 \cdot 4)

Next Step Evaluate

∴

r Cap = 7.91549430918953m

LAST Step Rounding Answer

∴

r Cap = 7.9155m

Spherical Cap Radius of Spherical Sector given Total Surface Area Formula Elements

Variables

Constants

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

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 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

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 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 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 given Total Surface Area?

Spherical Cap Radius of Spherical Sector given Total Surface Area evaluator uses 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) to evaluate the Spherical Cap Radius of Spherical Sector, Spherical Cap Radius of Spherical Sector given Total Surface Area 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, and calculated using its total surface area. Spherical Cap Radius of Spherical Sector is denoted by r_Cap symbol.

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

FAQs on Spherical Cap Radius of Spherical Sector given Total Surface Area

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

The formula of Spherical Cap Radius of Spherical Sector given Total Surface Area is expressed as 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). Here is an example- 7.915494 = 500/(pi*10)-(2*4).

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

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

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=(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 given Total Surface Area be negative?

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Spherical Cap Radius of Spherical Sector given Total Surface Area Formula

​GoSpherical Cap Radius of Spherical Sector Formula

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

Spherical Cap Radius of Spherical Sector given Total Surface Area Example

Spherical Cap Radius of Spherical Sector given Total Surface Area Solution

Spherical Cap Radius of Spherical Sector given Total Surface Area Formula Elements

Other Formulas to find Spherical Cap Radius of Spherical Sector

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

FAQs on Spherical Cap Radius of Spherical Sector given Total Surface Area

Variable Name

GoSpherical Cap Radius of Spherical Sector Formula

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