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Total Surface Area of Spherical Sector given Volume Formula

GoTotal Surface Area of Spherical Sector Formula

GoTotal Surface Area of Spherical Sector given Spherical Cap Radius Formula

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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. Check FAQs

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

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

Total Surface Area of Spherical Sector given Volume Example

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

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

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

503.3274 = 3.1416 \cdot 10 \cdot (\frac{3 \cdot 840}{3.1416 \cdot 10^{2}} + 8)

503.3274m² = 3.1416 \cdot 10m \cdot (\frac{3 \cdot 840m³}{3.1416 \cdot {10m}^{2}} + 8m)

503.3274 = 3.1416 \cdot 10 \cdot (\frac{3 \cdot 840}{3.1416 \cdot 10^{2}} + 8)

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Home » Math » Geometry » 3D Geometry » Total Surface Area of Spherical Sector given Volume

Total Surface Area of Spherical Sector given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = π \cdot 10m \cdot (\frac{3 \cdot 840m³}{π \cdot {10m}^{2}} + 8m)

Next Step Substitute values of Constants

∴

TSA = 3.1416 \cdot 10m \cdot (\frac{3 \cdot 840m³}{3.1416 \cdot {10m}^{2}} + 8m)

Next Step Prepare to Evaluate

∴

TSA = 3.1416 \cdot 10 \cdot (\frac{3 \cdot 840}{3.1416 \cdot 10^{2}} + 8)

Next Step Evaluate

∴

TSA = 503.327412287183m²

LAST Step Rounding Answer

∴

TSA = 503.3274m²

Total Surface Area of Spherical Sector given Volume Formula Elements

Variables

Constants

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.

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.

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.

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.

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

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Formula and 2500+ more formulas!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Formula and 1800+ more formulas!

Other Formulas to find Total Surface Area of Spherical Sector

Go Total Surface Area of Spherical Sector

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

Go Total Surface Area of Spherical Sector given Spherical Cap Radius

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

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

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

Go Total Surface Area of Spherical Sector given Surface to Volume Ratio and Spherical Cap Radius

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

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

Total Surface Area of Spherical Sector given Volume evaluator uses Total Surface Area of Spherical Sector = pi*Spherical Radius of Spherical Sector*((3*Volume of Spherical Sector)/(pi*Spherical Radius of Spherical Sector^2)+Spherical Cap Radius of Spherical Sector) to evaluate the Total Surface Area of Spherical Sector, Total Surface Area of Spherical Sector given Volume formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Sector, calculated using its volume. Total Surface Area of Spherical Sector is denoted by TSA symbol.

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

FAQs on Total Surface Area of Spherical Sector given Volume

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

The formula of Total Surface Area of Spherical Sector given Volume is expressed as Total Surface Area of Spherical Sector = pi*Spherical Radius of Spherical Sector*((3*Volume of Spherical Sector)/(pi*Spherical Radius of Spherical Sector^2)+Spherical Cap Radius of Spherical Sector). Here is an example- 503.3274 = pi*10*((3*840)/(pi*10^2)+8).

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

With Spherical Radius of Spherical Sector (r_Sphere), Volume of Spherical Sector (V) & Spherical Cap Radius of Spherical Sector (r_Cap) we can find Total Surface Area of Spherical Sector given Volume using the formula - Total Surface Area of Spherical Sector = pi*Spherical Radius of Spherical Sector*((3*Volume of Spherical Sector)/(pi*Spherical Radius of Spherical Sector^2)+Spherical Cap Radius of Spherical Sector). This formula also uses Archimedes' constant .

What are the other ways to Calculate Total Surface Area of Spherical Sector?

Here are the different ways to Calculate Total Surface Area 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)
Total Surface Area 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)+Spherical Cap Radius of Spherical Sector)
Total Surface Area of Spherical Sector=pi*sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector))*((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)

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

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

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

Total Surface Area of Spherical Sector given Volume is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Spherical Sector given Volume can be measured.

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Total Surface Area of Spherical Sector given Volume Formula

​GoTotal Surface Area of Spherical Sector Formula

​GoTotal Surface Area of Spherical Sector given Spherical Cap Radius Formula

Total Surface Area of Spherical Sector given Volume Example

Total Surface Area of Spherical Sector given Volume Solution

Total Surface Area of Spherical Sector given Volume Formula Elements

Credits

Other Formulas to find Total Surface Area of Spherical Sector

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

FAQs on Total Surface Area of Spherical Sector given Volume

Variable Name

GoTotal Surface Area of Spherical Sector Formula

GoTotal Surface Area of Spherical Sector given Spherical Cap Radius Formula