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Cap Radius of Spherical Cap given Total Surface Area Formula

GoCap Radius of Spherical Cap Formula

GoCap Radius of Spherical Cap given Total Surface Area and Curved Surface Area Formula

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

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

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

Cap Radius of Spherical Cap given Total Surface Area Example

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

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

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

7.9523 = \sqrt{\frac{450}{3.1416} - (2 \cdot 10 \cdot 4)}

7.9523m = \sqrt{\frac{450m²}{3.1416} - (2 \cdot 10m \cdot 4m)}

7.9523 = \sqrt{\frac{450}{3.1416} - (2 \cdot 10 \cdot 4)}

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Cap Radius of Spherical Cap given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r Cap = \sqrt{\frac{450m²}{π} - (2 \cdot 10m \cdot 4m)}

Next Step Substitute values of Constants

∴

r Cap = \sqrt{\frac{450m²}{3.1416} - (2 \cdot 10m \cdot 4m)}

Next Step Prepare to Evaluate

∴

r Cap = \sqrt{\frac{450}{3.1416} - (2 \cdot 10 \cdot 4)}

Next Step Evaluate

∴

r Cap = 7.9523234832787m

LAST Step Rounding Answer

∴

r Cap = 7.9523m

Cap Radius of Spherical Cap given Total Surface Area Formula Elements

Variables

Constants

Functions

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

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

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

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

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 Cap Radius of Spherical Cap

Go Cap Radius of Spherical Cap

r Cap = \sqrt{h \cdot ((2 \cdot r Sphere) - h)}

Go Cap Radius of Spherical Cap given Total Surface Area and Curved Surface Area

r Cap = \sqrt{\frac{TSA - CSA}{π}}

Go Cap Radius of Spherical Cap given Volume

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

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

Cap Radius of Spherical Cap given Total Surface Area evaluator uses Cap Radius of Spherical Cap = sqrt(Total Surface Area of Spherical Cap/pi-(2*Sphere Radius of Spherical Cap*Height of Spherical Cap)) to evaluate the Cap Radius of Spherical Cap, Cap Radius of Spherical Cap given Total Surface Area formula is defined as the radius of the base circle of a Spherical Cap, and calculated using the total surface area, height and sphere radius of the Spherical Cap. Cap Radius of Spherical Cap is denoted by r_Cap symbol.

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

FAQs on Cap Radius of Spherical Cap given Total Surface Area

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

The formula of Cap Radius of Spherical Cap given Total Surface Area is expressed as Cap Radius of Spherical Cap = sqrt(Total Surface Area of Spherical Cap/pi-(2*Sphere Radius of Spherical Cap*Height of Spherical Cap)). Here is an example- 7.952323 = sqrt(450/pi-(2*10*4)).

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

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

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

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

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

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

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

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

Cap Radius of Spherical Cap 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 Cap Radius of Spherical Cap given Total Surface Area can be measured.

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Cap Radius of Spherical Cap given Total Surface Area Formula

​GoCap Radius of Spherical Cap Formula

​GoCap Radius of Spherical Cap given Total Surface Area and Curved Surface Area Formula

Cap Radius of Spherical Cap given Total Surface Area Example

Cap Radius of Spherical Cap given Total Surface Area Solution

Cap Radius of Spherical Cap given Total Surface Area Formula Elements

Other Formulas to find Cap Radius of Spherical Cap

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

FAQs on Cap Radius of Spherical Cap given Total Surface Area

Variable Name

GoCap Radius of Spherical Cap Formula

GoCap Radius of Spherical Cap given Total Surface Area and Curved Surface Area Formula