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Diagonal of Cylinder given Lateral Surface Area and Height Formula

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GoDiagonal of Cylinder given Total Surface Area and Radius Formula

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

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

d - Diagonal of Cylinder?h - Height of Cylinder?LSA - Lateral Surface Area of Cylinder?π - Archimedes' constant?

Diagonal of Cylinder given Lateral Surface Area and Height Example

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

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

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

15.6717 = \sqrt{12^{2} + {(\frac{380}{3.1416 \cdot 12})}^{2}}

15.6717m² = \sqrt{{12m}^{2} + {(\frac{380m²}{3.1416 \cdot 12m})}^{2}}

15.6717 = \sqrt{12^{2} + {(\frac{380}{3.1416 \cdot 12})}^{2}}

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Diagonal of Cylinder given Lateral Surface Area and Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = \sqrt{{12m}^{2} + {(\frac{380m²}{π \cdot 12m})}^{2}}

Next Step Substitute values of Constants

∴

d = \sqrt{{12m}^{2} + {(\frac{380m²}{3.1416 \cdot 12m})}^{2}}

Next Step Prepare to Evaluate

∴

d = \sqrt{12^{2} + {(\frac{380}{3.1416 \cdot 12})}^{2}}

Next Step Evaluate

∴

d = 15.6717143725464m²

LAST Step Rounding Answer

∴

d = 15.6717m²

Diagonal of Cylinder given Lateral Surface Area and Height 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

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

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

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 Total Surface Area and Radius

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

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 Height?

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

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

FAQs on Diagonal of Cylinder given Lateral Surface Area and Height

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

The formula of Diagonal of Cylinder given Lateral Surface Area and Height is expressed as Diagonal of Cylinder = sqrt(Height of Cylinder^2+(Lateral Surface Area of Cylinder/(pi*Height of Cylinder))^2). Here is an example- 15.67171 = sqrt(12^2+(380/(pi*12))^2).

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

With Height of Cylinder (h) & Lateral Surface Area of Cylinder (LSA) we can find Diagonal of Cylinder given Lateral Surface Area and Height using the formula - Diagonal of Cylinder = sqrt(Height of Cylinder^2+(Lateral Surface Area of Cylinder/(pi*Height 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((Total Surface Area of Cylinder/(2*pi*Radius of Cylinder)-Radius of Cylinder)^2+(2*Radius of Cylinder)^2)
Diagonal of Cylinder=sqrt(Height of Cylinder^2+(4*Volume of Cylinder)/(pi*Height of Cylinder))

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

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

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

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

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Diagonal of Cylinder given Lateral Surface Area and Height Formula

​GoDiagonal of Cylinder Formula

​GoDiagonal of Cylinder given Total Surface Area and Radius Formula

Diagonal of Cylinder given Lateral Surface Area and Height Example

Diagonal of Cylinder given Lateral Surface Area and Height Solution

Diagonal of Cylinder given Lateral Surface Area and Height Formula Elements

Other Formulas to find Diagonal of Cylinder

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

FAQs on Diagonal of Cylinder given Lateral Surface Area and Height

Variable Name

GoDiagonal of Cylinder Formula

GoDiagonal of Cylinder given Total Surface Area and Radius Formula