Height of Cylinder given Lateral Surface Area Calculator

✖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.ⓘ Lateral Surface Area of Cylinder [LSA]			+10% -10%
✖Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder.ⓘ Radius of Cylinder [r]			+10% -10%

✖Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder.ⓘ Height of Cylinder given Lateral Surface Area [h]

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Height of Cylinder given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Cylinder = Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder)
h = LSA/(2*pi*r)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Height of Cylinder - (Measured in Meter) - Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder.
Lateral Surface Area of Cylinder - (Measured in Square Meter) - 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.
Radius of Cylinder - (Measured in Meter) - Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder.

STEP 1: Convert Input(s) to Base Unit

Lateral Surface Area of Cylinder: 380 Square Meter --> 380 Square Meter No Conversion Required
Radius of Cylinder: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = LSA/(2*pi*r) --> 380/(2*pi*5)

Evaluating ... ...

h = 12.095775674984

STEP 3: Convert Result to Output's Unit

12.095775674984 Meter --> No Conversion Required

FINAL ANSWER

12.095775674984 ≈ 12.09578 Meter <-- Height of Cylinder

(Calculation completed in 00.006 seconds)

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< Height of Cylinder Calculators

Height of Cylinder given Total Surface Area and Base Area

LaTeX Go Height of Cylinder = (Total Surface Area of Cylinder-2*Base Area of Cylinder)/(2*pi*Radius of Cylinder)

Height of Cylinder given Total Surface Area

LaTeX Go Height of Cylinder = Total Surface Area of Cylinder/(2*pi*Radius of Cylinder)-Radius of Cylinder

Height of Cylinder given Lateral Surface Area

LaTeX Go Height of Cylinder = Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder)

Height of Cylinder given Volume

LaTeX Go Height of Cylinder = Volume of Cylinder/(pi*Radius of Cylinder^2)

< Height of Cylinder Calculators

Height of Cylinder given Total Surface Area and Base Area

LaTeX Go Height of Cylinder = (Total Surface Area of Cylinder-2*Base Area of Cylinder)/(2*pi*Radius of Cylinder)

Height of Cylinder given Lateral Surface Area

LaTeX Go Height of Cylinder = Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder)

Height of Cylinder given Diagonal

LaTeX Go Height of Cylinder = sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)

Height of Cylinder given Volume

LaTeX Go Height of Cylinder = Volume of Cylinder/(pi*Radius of Cylinder^2)

Height of Cylinder given Lateral Surface Area Formula

LaTeX Go

Height of Cylinder = Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder)
h = LSA/(2*pi*r)

What is a Cylinder?

Cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. These bases are normally circular in shape (like a circle) and the center of the two bases are joined by a line segment, which is called the axis. The perpendicular distance between the bases is the height, “h” and the distance from the axis to the outer surface is the radius “r” of the Cylinder.

How to Calculate Height of Cylinder given Lateral Surface Area?

Height of Cylinder given Lateral Surface Area calculator uses Height of Cylinder = Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder) to calculate 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 calculate Height of Cylinder given Lateral Surface Area using this online calculator? To use this online calculator for Height of Cylinder given Lateral Surface Area, enter Lateral Surface Area of Cylinder (LSA) & Radius of Cylinder (r) and hit the calculate button. Here is how the Height of Cylinder given Lateral Surface Area calculation can be explained with given input values -> 12.09578 = 380/(2*pi*5).

FAQ

What is Height of Cylinder given Lateral Surface Area?

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 and is represented as h = LSA/(2*pi*r) or Height of Cylinder = Lateral Surface Area of Cylinder/(2*pi*Radius 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 & Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder.

How to calculate Height of Cylinder given Lateral Surface Area?

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 is calculated using Height of Cylinder = Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder). To calculate Height of Cylinder given Lateral Surface Area, you need Lateral Surface Area of Cylinder (LSA) & Radius of Cylinder (r). With our tool, you need to enter the respective value for Lateral Surface Area of Cylinder & Radius of Cylinder and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Height of Cylinder?

In this formula, Height of Cylinder uses Lateral Surface Area of Cylinder & Radius of Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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