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Total Surface Area of Flat End Cylinder given Volume Formula

GoTotal Surface Area of Flat End Cylinder Formula

GoTotal Surface Area of Flat End Cylinder given Lateral Surface Area and Height Formula

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

TSA = LSA + (π \cdot l Side \cdot \sqrt{\frac{V}{h \cdot (π - \frac{4}{3})}}) + (\frac{π \cdot V}{h \cdot (π - \frac{4}{3})})

TSA - Total Surface Area of Flat End Cylinder?LSA - Lateral Surface Area of Flat End Cylinder?l_Side - Side Length of Flat End Cylinder?V - Volume of Flat End Cylinder?h - Height of Flat End Cylinder?π - Archimedes' constant?

Total Surface Area of Flat End Cylinder given Volume Example

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Here is how the Total Surface Area of Flat End Cylinder given Volume equation looks like with Values.

Here is how the Total Surface Area of Flat End Cylinder given Volume equation looks like with Units.

Here is how the Total Surface Area of Flat End Cylinder given Volume equation looks like.

416.9177 = 135 + (3.1416 \cdot 13 \cdot \sqrt{\frac{540}{12 \cdot (3.1416 - \frac{4}{3})}}) + (\frac{3.1416 \cdot 540}{12 \cdot (3.1416 - \frac{4}{3})})

416.9177m² = 135m² + (3.1416 \cdot 13m \cdot \sqrt{\frac{540m³}{12m \cdot (3.1416 - \frac{4}{3})}}) + (\frac{3.1416 \cdot 540m³}{12m \cdot (3.1416 - \frac{4}{3})})

416.9177 = 135 + (3.1416 \cdot 13 \cdot \sqrt{\frac{540}{12 \cdot (3.1416 - \frac{4}{3})}}) + (\frac{3.1416 \cdot 540}{12 \cdot (3.1416 - \frac{4}{3})})

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Total Surface Area of Flat End Cylinder given Volume Solution

Follow our step by step solution on how to calculate Total Surface Area of Flat End Cylinder given Volume?

FIRST Step Consider the formula

TSA = LSA + (π \cdot l Side \cdot \sqrt{\frac{V}{h \cdot (π - \frac{4}{3})}}) + (\frac{π \cdot V}{h \cdot (π - \frac{4}{3})})

Next Step Substitute values of Variables

∴

TSA = 135m² + (π \cdot 13m \cdot \sqrt{\frac{540m³}{12m \cdot (π - \frac{4}{3})}}) + (\frac{π \cdot 540m³}{12m \cdot (π - \frac{4}{3})})

Next Step Substitute values of Constants

∴

TSA = 135m² + (3.1416 \cdot 13m \cdot \sqrt{\frac{540m³}{12m \cdot (3.1416 - \frac{4}{3})}}) + (\frac{3.1416 \cdot 540m³}{12m \cdot (3.1416 - \frac{4}{3})})

Next Step Prepare to Evaluate

∴

TSA = 135 + (3.1416 \cdot 13 \cdot \sqrt{\frac{540}{12 \cdot (3.1416 - \frac{4}{3})}}) + (\frac{3.1416 \cdot 540}{12 \cdot (3.1416 - \frac{4}{3})})

Next Step Evaluate

∴

TSA = 416.917715100949m²

LAST Step Rounding Answer

∴

TSA = 416.9177m²

Total Surface Area of Flat End Cylinder given Volume Formula Elements

Variables

Constants

Functions

Total Surface Area of Flat End Cylinder

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Flat End Cylinder

Lateral Surface Area of Flat End Cylinder

Lateral Surface Area of Flat End Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Flat End Cylinder.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Flat End Cylinder

Side Length of Flat End Cylinder

Side Length of Flat End Cylinder is the measurement or extent of side of Flat End Cylinder.

Symbol: l_Side

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side Length of Flat End Cylinder

Volume of Flat End Cylinder

Volume of Flat End Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Flat End Cylinder.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Flat End Cylinder

Height of Flat End Cylinder

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

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Flat End 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

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 Total Surface Area of Flat End Cylinder

Go Total Surface Area of Flat End Cylinder

TSA = (((2 \cdot π) - 4) \cdot h \cdot r) + (π \cdot r \cdot l Side) + (π \cdot r^{2})

Go Total Surface Area of Flat End Cylinder given Lateral Surface Area and Height

TSA = LSA + (π \cdot r \cdot \sqrt{r^{2} + h^{2}}) + (π \cdot r^{2})

Go Total Surface Area of Flat End Cylinder given Lateral Surface Area

TSA = LSA + (π \cdot r \cdot l Side) + (π \cdot r^{2})

Go Total Surface Area of Flat End Cylinder given Side Length

TSA = LSA + (π \cdot l Side \cdot \frac{LSA}{h \cdot ((2 \cdot π) - 4)}) + (π \cdot {(\frac{LSA}{h \cdot ((2 \cdot π) - 4)})}^{2})

How to Evaluate Total Surface Area of Flat End Cylinder given Volume?

Total Surface Area of Flat End Cylinder given Volume evaluator uses Total Surface Area of Flat End Cylinder = Lateral Surface Area of Flat End Cylinder+(pi*Side Length of Flat End Cylinder*sqrt(Volume of Flat End Cylinder/(Height of Flat End Cylinder*(pi-4/3))))+((pi*Volume of Flat End Cylinder)/(Height of Flat End Cylinder*(pi-4/3))) to evaluate the Total Surface Area of Flat End Cylinder, Total Surface Area of Flat End Cylinder given Volume formula is defined as the total quantity of plane enclosed on the entire surface of the Flat End Cylinder, and is calculated using lateral surface area, volume, height and side length of Flat End Cylinder. Total Surface Area of Flat End Cylinder is denoted by TSA symbol.

How to evaluate Total Surface Area of Flat End Cylinder given Volume using this online evaluator? To use this online evaluator for Total Surface Area of Flat End Cylinder given Volume, enter Lateral Surface Area of Flat End Cylinder (LSA), Side Length of Flat End Cylinder (l_Side), Volume of Flat End Cylinder (V) & Height of Flat End Cylinder (h) and hit the calculate button.

FAQs on Total Surface Area of Flat End Cylinder given Volume

What is the formula to find Total Surface Area of Flat End Cylinder given Volume?

The formula of Total Surface Area of Flat End Cylinder given Volume is expressed as Total Surface Area of Flat End Cylinder = Lateral Surface Area of Flat End Cylinder+(pi*Side Length of Flat End Cylinder*sqrt(Volume of Flat End Cylinder/(Height of Flat End Cylinder*(pi-4/3))))+((pi*Volume of Flat End Cylinder)/(Height of Flat End Cylinder*(pi-4/3))). Here is an example- 416.9177 = 135+(pi*13*sqrt(540/(12*(pi-4/3))))+((pi*540)/(12*(pi-4/3))).

How to calculate Total Surface Area of Flat End Cylinder given Volume?

With Lateral Surface Area of Flat End Cylinder (LSA), Side Length of Flat End Cylinder (l_Side), Volume of Flat End Cylinder (V) & Height of Flat End Cylinder (h) we can find Total Surface Area of Flat End Cylinder given Volume using the formula - Total Surface Area of Flat End Cylinder = Lateral Surface Area of Flat End Cylinder+(pi*Side Length of Flat End Cylinder*sqrt(Volume of Flat End Cylinder/(Height of Flat End Cylinder*(pi-4/3))))+((pi*Volume of Flat End Cylinder)/(Height of Flat End Cylinder*(pi-4/3))). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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

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

Total Surface Area of Flat End Cylinder=(((2*pi)-4)*Height of Flat End Cylinder*Radius of Flat End Cylinder)+(pi*Radius of Flat End Cylinder*Side Length of Flat End Cylinder)+(pi*Radius of Flat End Cylinder^2)
Total Surface Area of Flat End Cylinder=Lateral Surface Area of Flat End Cylinder+(pi*Radius of Flat End Cylinder*sqrt(Radius of Flat End Cylinder^2+Height of Flat End Cylinder^2))+(pi*Radius of Flat End Cylinder^2)
Total Surface Area of Flat End Cylinder=Lateral Surface Area of Flat End Cylinder+(pi*Radius of Flat End Cylinder*Side Length of Flat End Cylinder)+(pi*Radius of Flat End Cylinder^2)

Can the Total Surface Area of Flat End Cylinder given Volume be negative?

No, the Total Surface Area of Flat End Cylinder given Volume, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Flat End Cylinder given Volume?

Total Surface Area of Flat End Cylinder 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 Flat End Cylinder given Volume can be measured.

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Total Surface Area of Flat End Cylinder given Volume Formula

​GoTotal Surface Area of Flat End Cylinder Formula

​GoTotal Surface Area of Flat End Cylinder given Lateral Surface Area and Height Formula

Total Surface Area of Flat End Cylinder given Volume Example

Total Surface Area of Flat End Cylinder given Volume Solution

Total Surface Area of Flat End Cylinder given Volume Formula Elements

Other Formulas to find Total Surface Area of Flat End Cylinder

How to Evaluate Total Surface Area of Flat End Cylinder given Volume?

FAQs on Total Surface Area of Flat End Cylinder given Volume

Variable Name

GoTotal Surface Area of Flat End Cylinder Formula

GoTotal Surface Area of Flat End Cylinder given Lateral Surface Area and Height Formula