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Total Surface Area of Cylinder given Lateral Surface Area and Radius Formula

GoTotal Surface Area of Cylinder Formula

GoTotal Surface Area of Cylinder given Lateral Surface Area and Base Area Formula

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Total Surface Area of Cylinder is the total quantity of plane enclosed on the entire surface of the Cylinder. Check FAQs

TSA = LSA + 2 \cdot π \cdot r^{2}

TSA - Total Surface Area of Cylinder?LSA - Lateral Surface Area of Cylinder?r - Radius of Cylinder?π - Archimedes' constant?

Total Surface Area of Cylinder given Lateral Surface Area and Radius Example

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Here is how the Total Surface Area of Cylinder given Lateral Surface Area and Radius equation looks like with Values.

Here is how the Total Surface Area of Cylinder given Lateral Surface Area and Radius equation looks like with Units.

Here is how the Total Surface Area of Cylinder given Lateral Surface Area and Radius equation looks like.

537.0796 = 380 + 2 \cdot 3.1416 \cdot 5^{2}

537.0796m² = 380m² + 2 \cdot 3.1416 \cdot {5m}^{2}

537.0796 = 380 + 2 \cdot 3.1416 \cdot 5^{2}

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Total Surface Area of Cylinder given Lateral Surface Area and Radius Solution

Follow our step by step solution on how to calculate Total Surface Area of Cylinder given Lateral Surface Area and Radius?

FIRST Step Consider the formula

TSA = LSA + 2 \cdot π \cdot r^{2}

Next Step Substitute values of Variables

∴

TSA = 380m² + 2 \cdot π \cdot {5m}^{2}

Next Step Substitute values of Constants

∴

TSA = 380m² + 2 \cdot 3.1416 \cdot {5m}^{2}

Next Step Prepare to Evaluate

∴

TSA = 380 + 2 \cdot 3.1416 \cdot 5^{2}

Next Step Evaluate

∴

TSA = 537.07963267949m²

LAST Step Rounding Answer

∴

TSA = 537.0796m²

Total Surface Area of Cylinder given Lateral Surface Area and Radius Formula Elements

Variables

Constants

Total Surface Area of Cylinder

Total Surface Area of Cylinder is the total quantity of plane enclosed on the entire surface of the Cylinder.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Cylinder

Lateral Surface Area of Cylinder

Lateral Surface Area of Cylinder is the total quantity of plane enclosed on the lateral curved surface (that is, the top and bottom faces are excluded) of the Cylinder.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Cylinder

Radius of Cylinder

Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Cylinder

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 Cylinder

Go Total Surface Area of Cylinder

TSA = 2 \cdot π \cdot r \cdot (h + r)

Go Total Surface Area of Cylinder given Lateral Surface Area and Base Area

TSA = LSA + (2 \cdot A Base)

Go Total Surface Area of Cylinder given Diagonal and Height

TSA = π \cdot \sqrt{d^{2} - h^{2}} \cdot (h + \frac{\sqrt{d^{2} - h^{2}}}{2})

Go Total Surface Area of Cylinder given Diagonal and Radius

TSA = 2 \cdot π \cdot r \cdot (\sqrt{d^{2} - {(2 \cdot r)}^{2}} + r)

How to Evaluate Total Surface Area of Cylinder given Lateral Surface Area and Radius?

Total Surface Area of Cylinder given Lateral Surface Area and Radius evaluator uses Total Surface Area of Cylinder = Lateral Surface Area of Cylinder+2*pi*Radius of Cylinder^2 to evaluate the Total Surface Area of Cylinder, The Total Surface Area of Cylinder given Lateral Surface Area and Radius formula is defined as the total quantity of plane enclosed on the entire surface of the Cylinder, and is calculated using the lateral surface area and radius of the Cylinder. Total Surface Area of Cylinder is denoted by TSA symbol.

How to evaluate Total Surface Area of Cylinder given Lateral Surface Area and Radius using this online evaluator? To use this online evaluator for Total Surface Area of Cylinder given Lateral Surface Area and Radius, enter Lateral Surface Area of Cylinder (LSA) & Radius of Cylinder (r) and hit the calculate button.

FAQs on Total Surface Area of Cylinder given Lateral Surface Area and Radius

What is the formula to find Total Surface Area of Cylinder given Lateral Surface Area and Radius?

The formula of Total Surface Area of Cylinder given Lateral Surface Area and Radius is expressed as Total Surface Area of Cylinder = Lateral Surface Area of Cylinder+2*pi*Radius of Cylinder^2. Here is an example- 537.0796 = 380+2*pi*5^2.

How to calculate Total Surface Area of Cylinder given Lateral Surface Area and Radius?

With Lateral Surface Area of Cylinder (LSA) & Radius of Cylinder (r) we can find Total Surface Area of Cylinder given Lateral Surface Area and Radius using the formula - Total Surface Area of Cylinder = Lateral Surface Area of Cylinder+2*pi*Radius of Cylinder^2. This formula also uses Archimedes' constant .

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

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

Total Surface Area of Cylinder=2*pi*Radius of Cylinder*(Height of Cylinder+Radius of Cylinder)
Total Surface Area of Cylinder=Lateral Surface Area of Cylinder+(2*Base Area of Cylinder)
Total Surface Area of Cylinder=pi*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)*(Height of Cylinder+sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)/2)

Can the Total Surface Area of Cylinder given Lateral Surface Area and Radius be negative?

No, the Total Surface Area of Cylinder given Lateral Surface Area and Radius, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Cylinder given Lateral Surface Area and Radius?

Total Surface Area of Cylinder given Lateral Surface Area and 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 Cylinder given Lateral Surface Area and Radius can be measured.

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Total Surface Area of Cylinder given Lateral Surface Area and Radius Formula

​GoTotal Surface Area of Cylinder Formula

​GoTotal Surface Area of Cylinder given Lateral Surface Area and Base Area Formula

Total Surface Area of Cylinder given Lateral Surface Area and Radius Example

Total Surface Area of Cylinder given Lateral Surface Area and Radius Solution

Total Surface Area of Cylinder given Lateral Surface Area and Radius Formula Elements

Other Formulas to find Total Surface Area of Cylinder

How to Evaluate Total Surface Area of Cylinder given Lateral Surface Area and Radius?

FAQs on Total Surface Area of Cylinder given Lateral Surface Area and Radius

Variable Name

GoTotal Surface Area of Cylinder Formula

GoTotal Surface Area of Cylinder given Lateral Surface Area and Base Area Formula