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Spherical Cap Height of Spherical Sector given Total Surface Area Formula

GoSpherical Cap Height of Spherical Sector given Volume Formula

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

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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. Check FAQs

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

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

Spherical Cap Height of Spherical Sector given Total Surface Area Example

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

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

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

3.9577 = \frac{\frac{500}{3.1416 \cdot 10} - 8}{2}

3.9577m = \frac{\frac{500m²}{3.1416 \cdot 10m} - 8m}{2}

3.9577 = \frac{\frac{500}{3.1416 \cdot 10} - 8}{2}

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Spherical Cap Height of Spherical Sector given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h Cap = \frac{\frac{500m²}{π \cdot 10m} - 8m}{2}

Next Step Substitute values of Constants

∴

h Cap = \frac{\frac{500m²}{3.1416 \cdot 10m} - 8m}{2}

Next Step Prepare to Evaluate

∴

h Cap = \frac{\frac{500}{3.1416 \cdot 10} - 8}{2}

Next Step Evaluate

∴

h Cap = 3.95774715459477m

LAST Step Rounding Answer

∴

h Cap = 3.9577m

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

Variables

Constants

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

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 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

Other Formulas to find Spherical Cap Height of Spherical Sector

Go Spherical Cap Height of Spherical Sector given Volume

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

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

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

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

Spherical Cap Height of Spherical Sector given Total Surface Area evaluator uses Spherical Cap Height of Spherical Sector = (Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector)-Spherical Cap Radius of Spherical Sector)/2 to evaluate the Spherical Cap Height of Spherical Sector, Spherical Cap Height of Spherical Sector given Total Surface Area is defined as the vertical distance from top most point to the bottom level of the cap surface of the Spherical Sector, calculated using its total surface area. Spherical Cap Height of Spherical Sector is denoted by h_Cap symbol.

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

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

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

The formula of Spherical Cap Height of Spherical Sector given Total Surface Area is expressed as Spherical Cap Height of Spherical Sector = (Total Surface Area of Spherical Sector/(pi*Spherical Radius of Spherical Sector)-Spherical Cap Radius of Spherical Sector)/2. Here is an example- 3.957747 = (500/(pi*10)-8)/2.

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

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

What are the other ways to Calculate Spherical Cap Height of Spherical Sector?

Here are the different ways to Calculate Spherical Cap Height of Spherical Sector-

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

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

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

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

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

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Spherical Cap Height of Spherical Sector given Total Surface Area Formula

​GoSpherical Cap Height of Spherical Sector given Volume Formula

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

Spherical Cap Height of Spherical Sector given Total Surface Area Example

Spherical Cap Height of Spherical Sector given Total Surface Area Solution

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

Other Formulas to find Spherical Cap Height of Spherical Sector

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

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

Variable Name

GoSpherical Cap Height of Spherical Sector given Volume Formula

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