FormulaDen.com

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

Volume of Spherical Sector Formula

GoVolume of Spherical Sector given Spherical Cap Radius Formula

GoVolume of Spherical Sector given Total Surface Area and Spherical Cap Height Formula

Fx Copy

LaTeX Copy

Volume of Spherical Sector is the amount of three dimensional space occupied by the Spherical Sector. Check FAQs

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

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

Volume of Spherical Sector Example

With values

With units

Only example

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

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

Here is how the Volume of Spherical Sector equation looks like.

837.758 = \frac{2}{3} \cdot 3.1416 \cdot 10^{2} \cdot 4

837.758m³ = \frac{2}{3} \cdot 3.1416 \cdot {10m}^{2} \cdot 4m

837.758 = \frac{2}{3} \cdot 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 Volume of Spherical Sector

Volume of Spherical Sector Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{2}{3} \cdot π \cdot {10m}^{2} \cdot 4m

Next Step Substitute values of Constants

∴

V = \frac{2}{3} \cdot 3.1416 \cdot {10m}^{2} \cdot 4m

Next Step Prepare to Evaluate

∴

V = \frac{2}{3} \cdot 3.1416 \cdot 10^{2} \cdot 4

Next Step Evaluate

∴

V = 837.758040957278m³

LAST Step Rounding Answer

∴

V = 837.758m³

Volume of Spherical Sector Formula Elements

Variables

Constants

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

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 Volume of Spherical Sector

Go Volume of Spherical Sector given Spherical Cap Radius

V = \frac{π}{2} \cdot {(\frac{{r Cap}^{2}}{h Cap} + h Cap)}^{2} \cdot \frac{h Cap}{3}

Go Volume of Spherical Sector given Total Surface Area and Spherical Cap Height

V = 2 \cdot π \cdot {(\frac{TSA}{π \cdot ((2 \cdot h Cap) + r Cap)})}^{2} \cdot \frac{h Cap}{3}

Go Volume of Spherical Sector given Surface to Volume Ratio and Spherical Cap Height

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

Go Volume of Spherical Sector given Surface to Volume Ratio

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

How to Evaluate Volume of Spherical Sector?

Volume of Spherical Sector evaluator uses Volume of Spherical Sector = 2/3*pi*Spherical Radius of Spherical Sector^2*Spherical Cap Height of Spherical Sector to evaluate the Volume of Spherical Sector, Volume of Spherical Sector formula is defined as the amount of three dimensional space occupied by the Spherical Sector. Volume of Spherical Sector is denoted by V symbol.

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

FAQs on Volume of Spherical Sector

What is the formula to find Volume of Spherical Sector?

The formula of Volume of Spherical Sector is expressed as Volume of Spherical Sector = 2/3*pi*Spherical Radius of Spherical Sector^2*Spherical Cap Height of Spherical Sector. Here is an example- 837.758 = 2/3*pi*10^2*4.

How to calculate Volume of Spherical Sector?

With Spherical Radius of Spherical Sector (r_Sphere) & Spherical Cap Height of Spherical Sector (h_Cap) we can find Volume of Spherical Sector using the formula - Volume of Spherical Sector = 2/3*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 Volume of Spherical Sector?

Here are the different ways to Calculate Volume of Spherical Sector-

Volume of Spherical Sector=pi/2*((Spherical Cap Radius of Spherical Sector^2)/Spherical Cap Height of Spherical Sector+Spherical Cap Height of Spherical Sector)^2*Spherical Cap Height of Spherical Sector/3
Volume of Spherical Sector=2*pi*(Total Surface Area of Spherical Sector/(pi*((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)))^2*Spherical Cap Height of Spherical Sector/3
Volume of Spherical Sector=2*pi*(((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(2*Spherical Cap Height of Spherical Sector/3*Surface to Volume Ratio of Spherical Sector))^2*Spherical Cap Height of Spherical Sector/3

Can the Volume of Spherical Sector be negative?

No, the Volume of Spherical Sector, measured in Volume cannot be negative.

Which unit is used to measure Volume of Spherical Sector?

Volume of Spherical Sector is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Spherical Sector can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Volume of Spherical Sector Formula

​GoVolume of Spherical Sector given Spherical Cap Radius Formula

​GoVolume of Spherical Sector given Total Surface Area and Spherical Cap Height Formula

Volume of Spherical Sector Example

Volume of Spherical Sector Solution

Volume of Spherical Sector Formula Elements

Other Formulas to find Volume of Spherical Sector

How to Evaluate Volume of Spherical Sector?

FAQs on Volume of Spherical Sector

Variable Name

GoVolume of Spherical Sector given Spherical Cap Radius Formula

GoVolume of Spherical Sector given Total Surface Area and Spherical Cap Height Formula