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Total Surface Area of Cylinder given Lateral Surface Area and Height 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 = \frac{LSA}{h} \cdot (h + \frac{LSA}{2 \cdot π \cdot h})

TSA - Total Surface Area of Cylinder?LSA - Lateral Surface Area of Cylinder?h - Height of Cylinder?π - Archimedes' constant?

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

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

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

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

539.597 = \frac{380}{12} \cdot (12 + \frac{380}{2 \cdot 3.1416 \cdot 12})

539.597m² = \frac{380m²}{12m} \cdot (12m + \frac{380m²}{2 \cdot 3.1416 \cdot 12m})

539.597 = \frac{380}{12} \cdot (12 + \frac{380}{2 \cdot 3.1416 \cdot 12})

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

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

FIRST Step Consider the formula

TSA = \frac{LSA}{h} \cdot (h + \frac{LSA}{2 \cdot π \cdot h})

Next Step Substitute values of Variables

∴

TSA = \frac{380m²}{12m} \cdot (12m + \frac{380m²}{2 \cdot π \cdot 12m})

Next Step Substitute values of Constants

∴

TSA = \frac{380m²}{12m} \cdot (12m + \frac{380m²}{2 \cdot 3.1416 \cdot 12m})

Next Step Prepare to Evaluate

∴

TSA = \frac{380}{12} \cdot (12 + \frac{380}{2 \cdot 3.1416 \cdot 12})

Next Step Evaluate

∴

TSA = 539.597040156039m²

LAST Step Rounding Answer

∴

TSA = 539.597m²

Total Surface Area of Cylinder given Lateral Surface Area and Height 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

Height of Cylinder

Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Height?

Total Surface Area of Cylinder given Lateral Surface Area and Height evaluator uses Total Surface Area of Cylinder = Lateral Surface Area of Cylinder/Height of Cylinder*(Height of Cylinder+Lateral Surface Area of Cylinder/(2*pi*Height of Cylinder)) to evaluate the Total Surface Area of Cylinder, The Total Surface Area of Cylinder given Lateral Surface Area and Height 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 height 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 Height using this online evaluator? To use this online evaluator for Total Surface Area of Cylinder given Lateral Surface Area and Height, enter Lateral Surface Area of Cylinder (LSA) & Height of Cylinder (h) and hit the calculate button.

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

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

The formula of Total Surface Area of Cylinder given Lateral Surface Area and Height is expressed as Total Surface Area of Cylinder = Lateral Surface Area of Cylinder/Height of Cylinder*(Height of Cylinder+Lateral Surface Area of Cylinder/(2*pi*Height of Cylinder)). Here is an example- 539.597 = 380/12*(12+380/(2*pi*12)).

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

With Lateral Surface Area of Cylinder (LSA) & Height of Cylinder (h) we can find Total Surface Area of Cylinder given Lateral Surface Area and Height using the formula - Total Surface Area of Cylinder = Lateral Surface Area of Cylinder/Height of Cylinder*(Height of Cylinder+Lateral Surface Area of Cylinder/(2*pi*Height of Cylinder)). 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 Height be negative?

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

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

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

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

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

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

Other Formulas to find Total Surface Area of Cylinder

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

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

Variable Name

GoTotal Surface Area of Cylinder Formula

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