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Volume of Spherical Sector given Spherical Cap Radius Formula

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

GoVolume of Spherical Sector given Surface to Volume Ratio and Spherical Cap Height Formula

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

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

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

Volume of Spherical Sector given Spherical Cap Radius Example

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

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

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

837.758 = \frac{3.1416}{2} \cdot {(\frac{8^{2}}{4} + 4)}^{2} \cdot \frac{4}{3}

837.758m³ = \frac{3.1416}{2} \cdot {(\frac{{8m}^{2}}{4m} + 4m)}^{2} \cdot \frac{4m}{3}

837.758 = \frac{3.1416}{2} \cdot {(\frac{8^{2}}{4} + 4)}^{2} \cdot \frac{4}{3}

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Volume of Spherical Sector given Spherical Cap Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{π}{2} \cdot {(\frac{{8m}^{2}}{4m} + 4m)}^{2} \cdot \frac{4m}{3}

Next Step Substitute values of Constants

∴

V = \frac{3.1416}{2} \cdot {(\frac{{8m}^{2}}{4m} + 4m)}^{2} \cdot \frac{4m}{3}

Next Step Prepare to Evaluate

∴

V = \frac{3.1416}{2} \cdot {(\frac{8^{2}}{4} + 4)}^{2} \cdot \frac{4}{3}

Next Step Evaluate

∴

V = 837.758040957278m³

LAST Step Rounding Answer

∴

V = 837.758m³

Volume of Spherical Sector given Spherical Cap Radius 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 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

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 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}

Go Volume of Spherical Sector given Total Surface Area

V = \frac{1}{3} \cdot π \cdot {r Sphere}^{2} \cdot (\frac{TSA}{π \cdot r Sphere} - r Cap)

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

Volume of Spherical Sector given Spherical Cap Radius evaluator uses 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 to evaluate the Volume of Spherical Sector, Volume of Spherical Sector given Spherical Cap Radius formula is defined as amount of three dimensional space occupied by the Spherical Sector, calculated using its spherical cap radius. Volume of Spherical Sector is denoted by V symbol.

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

FAQs on Volume of Spherical Sector given Spherical Cap Radius

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

The formula of Volume of Spherical Sector given Spherical Cap Radius is expressed as 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. Here is an example- 837.758 = pi/2*((8^2)/4+4)^2*4/3.

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

With Spherical Cap Radius of Spherical Sector (r_Cap) & Spherical Cap Height of Spherical Sector (h_Cap) we can find Volume of Spherical Sector given Spherical Cap Radius using the formula - 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. 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=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
Volume of Spherical Sector=2/3*pi*Spherical Radius of Spherical Sector^2*Spherical Cap Radius of Spherical Sector/((2/3*Spherical Radius of Spherical Sector*Surface to Volume Ratio of Spherical Sector)-2)

Can the Volume of Spherical Sector given Spherical Cap Radius be negative?

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

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

Volume of Spherical Sector given Spherical Cap Radius 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 given Spherical Cap Radius can be measured.

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: Unit

Volume of Spherical Sector given Spherical Cap Radius Formula

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

​GoVolume of Spherical Sector given Surface to Volume Ratio and Spherical Cap Height Formula

Volume of Spherical Sector given Spherical Cap Radius Example

Volume of Spherical Sector given Spherical Cap Radius Solution

Volume of Spherical Sector given Spherical Cap Radius Formula Elements

Other Formulas to find Volume of Spherical Sector

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

FAQs on Volume of Spherical Sector given Spherical Cap Radius

Variable Name

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

GoVolume of Spherical Sector given Surface to Volume Ratio and Spherical Cap Height Formula