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Total Surface Area of Spherical Sector given Volume and Spherical Cap Height 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 \sqrt{\frac{3 \cdot V}{2 \cdot π \cdot h Cap}} \cdot ((2 \cdot h Cap) + r Cap)

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

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

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

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

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

503.327 = 3.1416 \cdot \sqrt{\frac{3 \cdot 840}{2 \cdot 3.1416 \cdot 4}} \cdot ((2 \cdot 4) + 8)

503.327m² = 3.1416 \cdot \sqrt{\frac{3 \cdot 840m³}{2 \cdot 3.1416 \cdot 4m}} \cdot ((2 \cdot 4m) + 8m)

503.327 = 3.1416 \cdot \sqrt{\frac{3 \cdot 840}{2 \cdot 3.1416 \cdot 4}} \cdot ((2 \cdot 4) + 8)

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = π \cdot \sqrt{\frac{3 \cdot 840m³}{2 \cdot π \cdot 4m}} \cdot ((2 \cdot 4m) + 8m)

Next Step Substitute values of Constants

∴

TSA = 3.1416 \cdot \sqrt{\frac{3 \cdot 840m³}{2 \cdot 3.1416 \cdot 4m}} \cdot ((2 \cdot 4m) + 8m)

Next Step Prepare to Evaluate

∴

TSA = 3.1416 \cdot \sqrt{\frac{3 \cdot 840}{2 \cdot 3.1416 \cdot 4}} \cdot ((2 \cdot 4) + 8)

Next Step Evaluate

∴

TSA = 503.326962903321m²

LAST Step Rounding Answer

∴

TSA = 503.327m²

Total Surface Area of Spherical Sector given Volume and Spherical Cap Height Formula Elements

Variables

Constants

Functions

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

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 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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 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}

Go Total Surface Area of Spherical Sector given Volume

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

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

Total Surface Area of Spherical Sector given Volume and Spherical Cap Height evaluator uses 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) to evaluate the Total Surface Area of Spherical Sector, Total Surface Area of Spherical Sector given Volume and Spherical Cap Height formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Sector, calculated using its volume and spherical cap height. Total Surface Area of Spherical Sector is denoted by TSA symbol.

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

FAQs on Total Surface Area of Spherical Sector given Volume and Spherical Cap Height

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

The formula of Total Surface Area of Spherical Sector given Volume and Spherical Cap Height is expressed as 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). Here is an example- 503.327 = pi*sqrt((3*840)/(2*pi*4))*((2*4)+8).

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

With Volume of Spherical Sector (V), Spherical Cap Height of Spherical Sector (h_Cap) & Spherical Cap Radius of Spherical Sector (r_Cap) we can find Total Surface Area of Spherical Sector given Volume and Spherical Cap Height using the formula - 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). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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

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

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

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

Total Surface Area of Spherical Sector given Volume and Spherical Cap Height 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 and Spherical Cap Height can be measured.

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

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

Total Surface Area of Spherical Sector given Volume and Spherical Cap Height Formula Elements

Other Formulas to find Total Surface Area of Spherical Sector

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

FAQs on Total Surface Area of Spherical Sector given Volume and Spherical Cap Height

Variable Name

GoTotal Surface Area of Spherical Sector Formula

GoTotal Surface Area of Spherical Sector given Spherical Cap Radius Formula