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Height of Cylinder given Diagonal Formula

GoHeight of Cylinder given Lateral Surface Area Formula

GoHeight of Cylinder given Total Surface Area and Base Area Formula

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

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

h - Height of Cylinder?d - Diagonal of Cylinder?r - Radius of Cylinder?

Height of Cylinder given Diagonal Example

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Here is how the Height of Cylinder given Diagonal equation looks like with Values.

Here is how the Height of Cylinder given Diagonal equation looks like with Units.

Here is how the Height of Cylinder given Diagonal equation looks like.

12.49 = \sqrt{16^{2} - {(2 \cdot 5)}^{2}}

12.49m = \sqrt{{16m²}^{2} - {(2 \cdot 5m)}^{2}}

12.49 = \sqrt{16^{2} - {(2 \cdot 5)}^{2}}

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Height of Cylinder given Diagonal Solution

Follow our step by step solution on how to calculate Height of Cylinder given Diagonal?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \sqrt{{16m²}^{2} - {(2 \cdot 5m)}^{2}}

Next Step Prepare to Evaluate

∴

h = \sqrt{16^{2} - {(2 \cdot 5)}^{2}}

Next Step Evaluate

∴

h = 12.4899959967968m

LAST Step Rounding Answer

∴

h = 12.49m

Height of Cylinder given Diagonal Formula Elements

Variables

Functions

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

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

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

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 Height of Cylinder

Go Height of Cylinder given Lateral Surface Area

h = \frac{LSA}{2 \cdot π \cdot r}

Go Height of Cylinder given Total Surface Area and Base Area

h = \frac{TSA - 2 \cdot A Base}{2 \cdot π \cdot r}

Go Height of Cylinder given Volume

h = \frac{V}{π \cdot r^{2}}

How to Evaluate Height of Cylinder given Diagonal?

Height of Cylinder given Diagonal evaluator uses Height of Cylinder = sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2) to evaluate the Height of Cylinder, The Height of Cylinder given Diagonal formula is defined as the longest vertical distance from the bottom circular face to the top circular face of the Cylinder and is calculated using the diagonal of the Cylinder. Height of Cylinder is denoted by h symbol.

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

FAQs on Height of Cylinder given Diagonal

What is the formula to find Height of Cylinder given Diagonal?

The formula of Height of Cylinder given Diagonal is expressed as Height of Cylinder = sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2). Here is an example- 12.49 = sqrt(16^2-(2*5)^2).

How to calculate Height of Cylinder given Diagonal?

With Diagonal of Cylinder (d) & Radius of Cylinder (r) we can find Height of Cylinder given Diagonal using the formula - Height of Cylinder = sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Cylinder?

Here are the different ways to Calculate Height of Cylinder-

Height of Cylinder=Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder)
Height of Cylinder=(Total Surface Area of Cylinder-2*Base Area of Cylinder)/(2*pi*Radius of Cylinder)
Height of Cylinder=Volume of Cylinder/(pi*Radius of Cylinder^2)

Can the Height of Cylinder given Diagonal be negative?

No, the Height of Cylinder given Diagonal, measured in Length cannot be negative.

Which unit is used to measure Height of Cylinder given Diagonal?

Height of Cylinder given Diagonal is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Cylinder given Diagonal can be measured.

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Height of Cylinder given Diagonal Formula

​GoHeight of Cylinder given Lateral Surface Area Formula

​GoHeight of Cylinder given Total Surface Area and Base Area Formula

Height of Cylinder given Diagonal Example

Height of Cylinder given Diagonal Solution

Height of Cylinder given Diagonal Formula Elements

Other Formulas to find Height of Cylinder

How to Evaluate Height of Cylinder given Diagonal?

FAQs on Height of Cylinder given Diagonal

Variable Name

GoHeight of Cylinder given Lateral Surface Area Formula

GoHeight of Cylinder given Total Surface Area and Base Area Formula