FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Height of Cylinder given Lateral Surface Area Formula

GoHeight of Cylinder given Diagonal Formula

GoHeight of Cylinder given Total Surface Area and Base Area Formula

Fx Copy

LaTeX Copy

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

h = \frac{LSA}{2 \cdot π \cdot r}

h - Height of Cylinder?LSA - Lateral Surface Area of Cylinder?r - Radius of Cylinder?π - Archimedes' constant?

Height of Cylinder given Lateral Surface Area Example

With values

With units

Only example

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

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

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

12.0958 = \frac{380}{2 \cdot 3.1416 \cdot 5}

12.0958m = \frac{380m²}{2 \cdot 3.1416 \cdot 5m}

12.0958 = \frac{380}{2 \cdot 3.1416 \cdot 5}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Height of Cylinder given Lateral Surface Area

Height of Cylinder given Lateral Surface Area Solution

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

FIRST Step Consider the formula

h = \frac{LSA}{2 \cdot π \cdot r}

Next Step Substitute values of Variables

∴

h = \frac{380m²}{2 \cdot π \cdot 5m}

Next Step Substitute values of Constants

∴

h = \frac{380m²}{2 \cdot 3.1416 \cdot 5m}

Next Step Prepare to Evaluate

∴

h = \frac{380}{2 \cdot 3.1416 \cdot 5}

Next Step Evaluate

∴

h = 12.095775674984m

LAST Step Rounding Answer

∴

h = 12.0958m

Height of Cylinder given Lateral Surface Area Formula Elements

Variables

Constants

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

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

Other Formulas to find Height of Cylinder

Go Height of Cylinder given Diagonal

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

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 Lateral Surface Area?

Height of Cylinder given Lateral Surface Area evaluator uses Height of Cylinder = Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder) to evaluate the Height of Cylinder, The Height of Cylinder given Lateral Surface Area 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 lateral surface area of the Cylinder. Height of Cylinder is denoted by h symbol.

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

FAQs on Height of Cylinder given Lateral Surface Area

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

The formula of Height of Cylinder given Lateral Surface Area is expressed as Height of Cylinder = Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder). Here is an example- 12.09578 = 380/(2*pi*5).

How to calculate Height of Cylinder given Lateral Surface Area?

With Lateral Surface Area of Cylinder (LSA) & Radius of Cylinder (r) we can find Height of Cylinder given Lateral Surface Area using the formula - Height of Cylinder = Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder). This formula also uses Archimedes' constant .

What are the other ways to Calculate Height of Cylinder?

Here are the different ways to Calculate Height of Cylinder-

Height of Cylinder=sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)
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 Lateral Surface Area be negative?

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Height of Cylinder given Lateral Surface Area Formula

​GoHeight of Cylinder given Diagonal Formula

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

Height of Cylinder given Lateral Surface Area Example

Height of Cylinder given Lateral Surface Area Solution

Height of Cylinder given Lateral Surface Area Formula Elements

Other Formulas to find Height of Cylinder

How to Evaluate Height of Cylinder given Lateral Surface Area?

FAQs on Height of Cylinder given Lateral Surface Area

Variable Name

GoHeight of Cylinder given Diagonal Formula

GoHeight of Cylinder given Total Surface Area and Base Area Formula