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Total Surface Area of Spherical Cap given Cap Radius Formula

GoTotal Surface Area of Spherical Cap given Volume and Surface to Volume Ratio Formula

GoTotal Surface Area of Spherical Cap Formula

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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. Check FAQs

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

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

Total Surface Area of Spherical Cap given Cap Radius Example

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

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

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

452.3893 = 3.1416 \cdot ((2 \cdot 10 \cdot 4) + 8^{2})

452.3893m² = 3.1416 \cdot ((2 \cdot 10m \cdot 4m) + {8m}^{2})

452.3893 = 3.1416 \cdot ((2 \cdot 10 \cdot 4) + 8^{2})

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Total Surface Area of Spherical Cap given Cap Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = π \cdot ((2 \cdot 10m \cdot 4m) + {8m}^{2})

Next Step Substitute values of Constants

∴

TSA = 3.1416 \cdot ((2 \cdot 10m \cdot 4m) + {8m}^{2})

Next Step Prepare to Evaluate

∴

TSA = 3.1416 \cdot ((2 \cdot 10 \cdot 4) + 8^{2})

Next Step Evaluate

∴

TSA = 452.38934211693m²

LAST Step Rounding Answer

∴

TSA = 452.3893m²

Total Surface Area of Spherical Cap given Cap Radius Formula Elements

Variables

Constants

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

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

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 Total Surface Area of Spherical Cap

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

TSA = R A/V \cdot V

Go Total Surface Area of Spherical Cap

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

Go Total Surface Area of Spherical Cap given Surface to Volume Ratio

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

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

TSA = CSA + (π \cdot {r Cap}^{2})

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

Total Surface Area of Spherical Cap given Cap Radius evaluator uses Total Surface Area of Spherical Cap = pi*((2*Sphere Radius of Spherical Cap*Height of Spherical Cap)+Cap Radius of Spherical Cap^2) to evaluate the Total Surface Area of Spherical Cap, Total Surface Area of Spherical Cap given Cap Radius formula is defined as the total quantity of two dimensional space enclosed on the base and curved surfaces of the Spherical Cap, and calculated using the cap radius, sphere radius and height of the Spherical Cap. Total Surface Area of Spherical Cap is denoted by TSA symbol.

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

FAQs on Total Surface Area of Spherical Cap given Cap Radius

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

The formula of Total Surface Area of Spherical Cap given Cap Radius is expressed as Total Surface Area of Spherical Cap = pi*((2*Sphere Radius of Spherical Cap*Height of Spherical Cap)+Cap Radius of Spherical Cap^2). Here is an example- 452.3893 = pi*((2*10*4)+8^2).

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

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

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

Here are the different ways to Calculate Total Surface Area of Spherical Cap-

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

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

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

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

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

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Total Surface Area of Spherical Cap given Cap Radius Formula

​GoTotal Surface Area of Spherical Cap given Volume and Surface to Volume Ratio Formula

​GoTotal Surface Area of Spherical Cap Formula

Total Surface Area of Spherical Cap given Cap Radius Example

Total Surface Area of Spherical Cap given Cap Radius Solution

Total Surface Area of Spherical Cap given Cap Radius Formula Elements

Other Formulas to find Total Surface Area of Spherical Cap

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

FAQs on Total Surface Area of Spherical Cap given Cap Radius

Variable Name

GoTotal Surface Area of Spherical Cap given Volume and Surface to Volume Ratio Formula

GoTotal Surface Area of Spherical Cap Formula