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Total Surface Area of Cylinder given Diagonal 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 = 2 \cdot π \cdot r \cdot (\sqrt{d^{2} - {(2 \cdot r)}^{2}} + r)

TSA - Total Surface Area of Cylinder?r - Radius of Cylinder?d - Diagonal of Cylinder?π - Archimedes' constant?

Total Surface Area of Cylinder given Diagonal and Radius Example

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

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

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

549.4644 = 2 \cdot 3.1416 \cdot 5 \cdot (\sqrt{16^{2} - {(2 \cdot 5)}^{2}} + 5)

549.4644m² = 2 \cdot 3.1416 \cdot 5m \cdot (\sqrt{{16m²}^{2} - {(2 \cdot 5m)}^{2}} + 5m)

549.4644 = 2 \cdot 3.1416 \cdot 5 \cdot (\sqrt{16^{2} - {(2 \cdot 5)}^{2}} + 5)

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Total Surface Area of Cylinder given Diagonal and Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = 2 \cdot π \cdot 5m \cdot (\sqrt{{16m²}^{2} - {(2 \cdot 5m)}^{2}} + 5m)

Next Step Substitute values of Constants

∴

TSA = 2 \cdot 3.1416 \cdot 5m \cdot (\sqrt{{16m²}^{2} - {(2 \cdot 5m)}^{2}} + 5m)

Next Step Prepare to Evaluate

∴

TSA = 2 \cdot 3.1416 \cdot 5 \cdot (\sqrt{16^{2} - {(2 \cdot 5)}^{2}} + 5)

Next Step Evaluate

∴

TSA = 549.464429348517m²

LAST Step Rounding Answer

∴

TSA = 549.4644m²

Total Surface Area of Cylinder given Diagonal and Radius Formula Elements

Variables

Constants

Functions

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

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

Diagonal of Cylinder

Diagonal of Cylinder is the distance between two opposite corners of a Cylinder.

Symbol: d

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Diagonal 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

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 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 Volume and Radius

TSA = 2 \cdot π \cdot r \cdot (\frac{V}{π \cdot r^{2}} + r)

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

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

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

FAQs on Total Surface Area of Cylinder given Diagonal and Radius

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

The formula of Total Surface Area of Cylinder given Diagonal and Radius is expressed as Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*(sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)+Radius of Cylinder). Here is an example- 549.4644 = 2*pi*5*(sqrt(16^2-(2*5)^2)+5).

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

With Radius of Cylinder (r) & Diagonal of Cylinder (d) we can find Total Surface Area of Cylinder given Diagonal and Radius using the formula - Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*(sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)+Radius of Cylinder). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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 Diagonal and Radius be negative?

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

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

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

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Total Surface Area of Cylinder given Diagonal 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 Diagonal and Radius Example

Total Surface Area of Cylinder given Diagonal and Radius Solution

Total Surface Area of Cylinder given Diagonal and Radius Formula Elements

Other Formulas to find Total Surface Area of Cylinder

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

FAQs on Total Surface Area of Cylinder given Diagonal and Radius

Variable Name

GoTotal Surface Area of Cylinder Formula

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