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Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius Formula

GoSphere Radius of Spherical Cap given Total Surface Area Formula

GoSphere Radius of Spherical Cap given Curved Surface Area Formula

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Sphere Radius of Spherical Cap is the radius of the sphere from which the Spherical Cap shape is cut. Check FAQs

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

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

Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius Example

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Here is how the Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius equation looks like with Values.

Here is how the Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius equation looks like with Units.

Here is how the Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius equation looks like.

9.9049 = \frac{450 - (3.1416 \cdot 8^{2})}{2 \cdot 3.1416 \cdot 4}

9.9049m = \frac{450m² - (3.1416 \cdot {8m}^{2})}{2 \cdot 3.1416 \cdot 4m}

9.9049 = \frac{450 - (3.1416 \cdot 8^{2})}{2 \cdot 3.1416 \cdot 4}

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Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius Solution

Follow our step by step solution on how to calculate Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r Sphere = \frac{450m² - (π \cdot {8m}^{2})}{2 \cdot π \cdot 4m}

Next Step Substitute values of Constants

∴

r Sphere = \frac{450m² - (3.1416 \cdot {8m}^{2})}{2 \cdot 3.1416 \cdot 4m}

Next Step Prepare to Evaluate

∴

r Sphere = \frac{450 - (3.1416 \cdot 8^{2})}{2 \cdot 3.1416 \cdot 4}

Next Step Evaluate

∴

r Sphere = 9.90493109783823m

LAST Step Rounding Answer

∴

r Sphere = 9.9049m

Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius Formula Elements

Variables

Constants

Sphere Radius of Spherical Cap

Sphere Radius of Spherical Cap is the radius of the sphere from which the Spherical Cap shape is cut.

Symbol: r_Sphere

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Sphere Radius of Spherical Cap

Total Surface Area of Spherical Cap

Total Surface Area of Spherical Cap is the total quantity of two dimensional space enclosed on the base and curved surfaces of the Spherical Cap.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Spherical Cap

Cap Radius of Spherical Cap

Cap Radius of Spherical Cap is the radius of the base circle of a Spherical Cap.

Symbol: r_Cap

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cap Radius of Spherical Cap

Height of Spherical Cap

Height of Spherical Cap is the maximum vertical distance from the base circle to the curved surface of the Spherical Cap.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Spherical Cap

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 Sphere Radius of Spherical Cap

Go Sphere Radius of Spherical Cap given Total Surface Area

r Sphere = \frac{TSA + (4 \cdot h^{2})}{4 \cdot π \cdot h}

Go Sphere Radius of Spherical Cap given Curved Surface Area

r Sphere = \frac{CSA}{2 \cdot π \cdot h}

Go Sphere Radius of Spherical Cap given Volume

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

How to Evaluate Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius?

Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius evaluator uses Sphere Radius of Spherical Cap = (Total Surface Area of Spherical Cap-(pi*Cap Radius of Spherical Cap^2))/(2*pi*Height of Spherical Cap) to evaluate the Sphere Radius of Spherical Cap, Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius formula is defined as the radius of the sphere from which the Spherical Cap shape is cut, and calculated using the total surface area, height and cap radius of the Spherical Cap. Sphere Radius of Spherical Cap is denoted by r_Sphere symbol.

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

FAQs on Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius

What is the formula to find Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius?

The formula of Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius is expressed as Sphere Radius of Spherical Cap = (Total Surface Area of Spherical Cap-(pi*Cap Radius of Spherical Cap^2))/(2*pi*Height of Spherical Cap). Here is an example- 9.904931 = (450-(pi*8^2))/(2*pi*4).

How to calculate Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius?

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

What are the other ways to Calculate Sphere Radius of Spherical Cap?

Here are the different ways to Calculate Sphere Radius of Spherical Cap-

Sphere Radius of Spherical Cap=(Total Surface Area of Spherical Cap+(4*Height of Spherical Cap^2))/(4*pi*Height of Spherical Cap)
Sphere Radius of Spherical Cap=Curved Surface Area of Spherical Cap/(2*pi*Height of Spherical Cap)
Sphere Radius of Spherical Cap=Volume of Spherical Cap/(pi*Height of Spherical Cap^2)+Height of Spherical Cap/3

Can the Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius be negative?

No, the Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius, measured in Length cannot be negative.

Which unit is used to measure Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius?

Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius can be measured.

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Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius Formula

​GoSphere Radius of Spherical Cap given Total Surface Area Formula

​GoSphere Radius of Spherical Cap given Curved Surface Area Formula

Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius Example

Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius Solution

Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius Formula Elements

Other Formulas to find Sphere Radius of Spherical Cap

How to Evaluate Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius?

FAQs on Sphere Radius of Spherical Cap given Total Surface Area and Cap Radius

Variable Name

GoSphere Radius of Spherical Cap given Total Surface Area Formula

GoSphere Radius of Spherical Cap given Curved Surface Area Formula