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Diagonal of Cylinder given Lateral Surface Area and Radius Formula

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GoDiagonal of Cylinder given Lateral Surface Area and Height Formula

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

d = \sqrt{{(\frac{LSA}{2 \cdot π \cdot r})}^{2} + {(2 \cdot r)}^{2}}

d - Diagonal of Cylinder?LSA - Lateral Surface Area of Cylinder?r - Radius of Cylinder?π - Archimedes' constant?

Diagonal of Cylinder given Lateral Surface Area and Radius Example

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

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

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

15.6942 = \sqrt{{(\frac{380}{2 \cdot 3.1416 \cdot 5})}^{2} + {(2 \cdot 5)}^{2}}

15.6942m² = \sqrt{{(\frac{380m²}{2 \cdot 3.1416 \cdot 5m})}^{2} + {(2 \cdot 5m)}^{2}}

15.6942 = \sqrt{{(\frac{380}{2 \cdot 3.1416 \cdot 5})}^{2} + {(2 \cdot 5)}^{2}}

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Diagonal of Cylinder given Lateral Surface Area and Radius Solution

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

FIRST Step Consider the formula

d = \sqrt{{(\frac{LSA}{2 \cdot π \cdot r})}^{2} + {(2 \cdot r)}^{2}}

Next Step Substitute values of Variables

∴

d = \sqrt{{(\frac{380m²}{2 \cdot π \cdot 5m})}^{2} + {(2 \cdot 5m)}^{2}}

Next Step Substitute values of Constants

∴

d = \sqrt{{(\frac{380m²}{2 \cdot 3.1416 \cdot 5m})}^{2} + {(2 \cdot 5m)}^{2}}

Next Step Prepare to Evaluate

∴

d = \sqrt{{(\frac{380}{2 \cdot 3.1416 \cdot 5})}^{2} + {(2 \cdot 5)}^{2}}

Next Step Evaluate

∴

d = 15.6941960348256m²

LAST Step Rounding Answer

∴

d = 15.6942m²

Diagonal of Cylinder given Lateral Surface Area and Radius Formula Elements

Variables

Constants

Functions

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

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

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 Diagonal of Cylinder

Go Diagonal of Cylinder

d = \sqrt{h^{2} + {(2 \cdot r)}^{2}}

Go Diagonal of Cylinder given Lateral Surface Area and Height

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

Go Diagonal of Cylinder given Base Area

d = \sqrt{h^{2} + \frac{4 \cdot A Base}{π}}

Go Diagonal of Cylinder given Volume and Height

d = \sqrt{h^{2} + \frac{4 \cdot V}{π \cdot h}}

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

Diagonal of Cylinder given Lateral Surface Area and Radius evaluator uses Diagonal of Cylinder = sqrt((Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder))^2+(2*Radius of Cylinder)^2) to evaluate the Diagonal of Cylinder, The Diagonal of Cylinder given Lateral Surface Area and Radius formula is defined as the distance between two opposite corners of a Cylinder and is calculated using the lateral surface area and radius of the Cylinder. Diagonal of Cylinder is denoted by d symbol.

How to evaluate Diagonal of Cylinder given Lateral Surface Area and Radius using this online evaluator? To use this online evaluator for Diagonal 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 Diagonal of Cylinder given Lateral Surface Area and Radius

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

The formula of Diagonal of Cylinder given Lateral Surface Area and Radius is expressed as Diagonal of Cylinder = sqrt((Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder))^2+(2*Radius of Cylinder)^2). Here is an example- 15.6942 = sqrt((380/(2*pi*5))^2+(2*5)^2).

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

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

What are the other ways to Calculate Diagonal of Cylinder?

Here are the different ways to Calculate Diagonal of Cylinder-

Diagonal of Cylinder=sqrt(Height of Cylinder^2+(2*Radius of Cylinder)^2)
Diagonal of Cylinder=sqrt(Height of Cylinder^2+(Lateral Surface Area of Cylinder/(pi*Height of Cylinder))^2)
Diagonal of Cylinder=sqrt(Height of Cylinder^2+(4*Base Area of Cylinder)/pi)

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

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

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

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

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Diagonal of Cylinder given Lateral Surface Area and Radius Formula

​GoDiagonal of Cylinder Formula

​GoDiagonal of Cylinder given Lateral Surface Area and Height Formula

Diagonal of Cylinder given Lateral Surface Area and Radius Example

Diagonal of Cylinder given Lateral Surface Area and Radius Solution

Diagonal of Cylinder given Lateral Surface Area and Radius Formula Elements

Other Formulas to find Diagonal of Cylinder

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

FAQs on Diagonal of Cylinder given Lateral Surface Area and Radius

Variable Name

GoDiagonal of Cylinder Formula

GoDiagonal of Cylinder given Lateral Surface Area and Height Formula