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Total Surface Area of Spherical Cap given Volume Formula

GoTotal Surface Area of Spherical Cap given Cap Radius Formula

GoTotal Surface Area of Spherical Cap given Volume and Surface to Volume Ratio 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 = \frac{4 \cdot V}{h} + \frac{π \cdot h^{2}}{3}

TSA - Total Surface Area of Spherical Cap?V - Volume of Spherical Cap?h - Height of Spherical Cap?π - Archimedes' constant?

Total Surface Area of Spherical Cap given Volume Example

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

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

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

456.7552 = \frac{4 \cdot 440}{4} + \frac{3.1416 \cdot 4^{2}}{3}

456.7552m² = \frac{4 \cdot 440m³}{4m} + \frac{3.1416 \cdot {4m}^{2}}{3}

456.7552 = \frac{4 \cdot 440}{4} + \frac{3.1416 \cdot 4^{2}}{3}

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Total Surface Area of Spherical Cap given Volume Solution

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

FIRST Step Consider the formula

TSA = \frac{4 \cdot V}{h} + \frac{π \cdot h^{2}}{3}

Next Step Substitute values of Variables

∴

TSA = \frac{4 \cdot 440m³}{4m} + \frac{π \cdot {4m}^{2}}{3}

Next Step Substitute values of Constants

∴

TSA = \frac{4 \cdot 440m³}{4m} + \frac{3.1416 \cdot {4m}^{2}}{3}

Next Step Prepare to Evaluate

∴

TSA = \frac{4 \cdot 440}{4} + \frac{3.1416 \cdot 4^{2}}{3}

Next Step Evaluate

∴

TSA = 456.755160819146m²

LAST Step Rounding Answer

∴

TSA = 456.7552m²

Total Surface Area of Spherical Cap given Volume 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

Volume of Spherical Cap

Volume of Spherical Cap is the total quantity of three dimensional space enclosed by the entire surface of the Spherical Cap.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Total Surface Area of Spherical Cap

Go Total Surface Area of Spherical Cap given Cap Radius

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

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)

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

Total Surface Area of Spherical Cap given Volume evaluator uses Total Surface Area of Spherical Cap = (4*Volume of Spherical Cap)/Height of Spherical Cap+(pi*Height of Spherical Cap^2)/3 to evaluate the Total Surface Area of Spherical Cap, Total Surface Area of Spherical Cap given Volume 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 volume 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 Volume using this online evaluator? To use this online evaluator for Total Surface Area of Spherical Cap given Volume, enter Volume of Spherical Cap (V) & Height of Spherical Cap (h) and hit the calculate button.

FAQs on Total Surface Area of Spherical Cap given Volume

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

The formula of Total Surface Area of Spherical Cap given Volume is expressed as Total Surface Area of Spherical Cap = (4*Volume of Spherical Cap)/Height of Spherical Cap+(pi*Height of Spherical Cap^2)/3. Here is an example- 456.7552 = (4*440)/4+(pi*4^2)/3.

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

With Volume of Spherical Cap (V) & Height of Spherical Cap (h) we can find Total Surface Area of Spherical Cap given Volume using the formula - Total Surface Area of Spherical Cap = (4*Volume of Spherical Cap)/Height of Spherical Cap+(pi*Height of Spherical Cap^2)/3. 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=pi*((2*Sphere Radius of Spherical Cap*Height of Spherical Cap)+Cap Radius of Spherical Cap^2)
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)

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

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

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

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

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: Unit

Total Surface Area of Spherical Cap given Volume Formula

​GoTotal Surface Area of Spherical Cap given Cap Radius Formula

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

Total Surface Area of Spherical Cap given Volume Example

Total Surface Area of Spherical Cap given Volume Solution

Total Surface Area of Spherical Cap given Volume Formula Elements

Other Formulas to find Total Surface Area of Spherical Cap

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

FAQs on Total Surface Area of Spherical Cap given Volume

Variable Name

GoTotal Surface Area of Spherical Cap given Cap Radius Formula

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