Lateral Surface Area of Cylinder given Diagonal and Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Lateral Surface Area of Cylinder = pi*Height of Cylinder*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)
LSA = pi*h*sqrt(d^2-h^2)
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
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., sqrt(Number)
Variables Used
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.
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.
Diagonal of Cylinder - (Measured in Square Meter) - Diagonal of Cylinder is the distance between two opposite corners of a Cylinder.
STEP 1: Convert Input(s) to Base Unit
Height of Cylinder: 12 Meter --> 12 Meter No Conversion Required
Diagonal of Cylinder: 16 Square Meter --> 16 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LSA = pi*h*sqrt(d^2-h^2) --> pi*12*sqrt(16^2-12^2)
Evaluating ... ...
LSA = 398.969898339172
STEP 3: Convert Result to Output's Unit
398.969898339172 Square Meter --> No Conversion Required
FINAL ANSWER
398.969898339172 398.9699 Square Meter <-- Lateral Surface Area of Cylinder
(Calculation completed in 00.004 seconds)

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12 Lateral Surface Area of Cylinder Calculators

Lateral Surface Area of Cylinder given Total Surface Area and Radius
​ Go Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Total Surface Area of Cylinder/(2*pi*Radius of Cylinder)-Radius of Cylinder)
Lateral Surface Area of Cylinder given Surface to Volume Ratio and Radius
​ Go Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*(2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2)
Lateral Surface Area of Cylinder given Surface to Volume Ratio and Height
​ Go Lateral Surface Area of Cylinder = 2*pi*Height of Cylinder*(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)
Lateral Surface Area of Cylinder given Diagonal and Radius
​ Go Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)
Lateral Surface Area of Cylinder given Perimeter and Radius
​ Go Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Perimeter of Cylinder/2-2*pi*Radius of Cylinder)
Lateral Surface Area of Cylinder given Diagonal and Height
​ Go Lateral Surface Area of Cylinder = pi*Height of Cylinder*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)
Lateral Surface Area of Cylinder given Base Area
​ Go Lateral Surface Area of Cylinder = 2*Height of Cylinder*sqrt(pi*Base Area of Cylinder)
Lateral Surface Area of Cylinder given Volume and Height
​ Go Lateral Surface Area of Cylinder = 2*sqrt(pi*Volume of Cylinder*Height of Cylinder)
Lateral Surface Area of Cylinder given Perimeter and Height
​ Go Lateral Surface Area of Cylinder = (Perimeter of Cylinder/2-Height of Cylinder)*Height of Cylinder
Lateral Surface Area of Cylinder
​ Go Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*Height of Cylinder
Lateral Surface Area of Cylinder given Total Surface Area and Base Area
​ Go Lateral Surface Area of Cylinder = Total Surface Area of Cylinder-(2*Base Area of Cylinder)
Lateral Surface Area of Cylinder given Volume and Radius
​ Go Lateral Surface Area of Cylinder = (2*Volume of Cylinder)/Radius of Cylinder

Lateral Surface Area of Cylinder given Diagonal and Height Formula

Lateral Surface Area of Cylinder = pi*Height of Cylinder*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)
LSA = pi*h*sqrt(d^2-h^2)

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 Lateral Surface Area of Cylinder given Diagonal and Height?

Lateral Surface Area of Cylinder given Diagonal and Height calculator uses Lateral Surface Area of Cylinder = pi*Height of Cylinder*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2) to calculate the Lateral Surface Area of Cylinder, The Lateral Surface Area of Cylinder given Diagonal and Height formula is defined as the total quantity of plane enclosed on the lateral curved surface (that is, top and bottom faces are excluded) of the Cylinder, and is calculated using the diagonal and height of the Cylinder. Lateral Surface Area of Cylinder is denoted by LSA symbol.

How to calculate Lateral Surface Area of Cylinder given Diagonal and Height using this online calculator? To use this online calculator for Lateral Surface Area of Cylinder given Diagonal and Height, enter Height of Cylinder (h) & Diagonal of Cylinder (d) and hit the calculate button. Here is how the Lateral Surface Area of Cylinder given Diagonal and Height calculation can be explained with given input values -> 398.9699 = pi*12*sqrt(16^2-12^2).

FAQ

What is Lateral Surface Area of Cylinder given Diagonal and Height?
The Lateral Surface Area of Cylinder given Diagonal and Height formula is defined as the total quantity of plane enclosed on the lateral curved surface (that is, top and bottom faces are excluded) of the Cylinder, and is calculated using the diagonal and height of the Cylinder and is represented as LSA = pi*h*sqrt(d^2-h^2) or Lateral Surface Area of Cylinder = pi*Height of Cylinder*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2). Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder & Diagonal of Cylinder is the distance between two opposite corners of a Cylinder.
How to calculate Lateral Surface Area of Cylinder given Diagonal and Height?
The Lateral Surface Area of Cylinder given Diagonal and Height formula is defined as the total quantity of plane enclosed on the lateral curved surface (that is, top and bottom faces are excluded) of the Cylinder, and is calculated using the diagonal and height of the Cylinder is calculated using Lateral Surface Area of Cylinder = pi*Height of Cylinder*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2). To calculate Lateral Surface Area of Cylinder given Diagonal and Height, you need Height of Cylinder (h) & Diagonal of Cylinder (d). With our tool, you need to enter the respective value for Height of Cylinder & Diagonal 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 Lateral Surface Area of Cylinder?
In this formula, Lateral Surface Area of Cylinder uses Height of Cylinder & Diagonal of Cylinder. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*Height of Cylinder
  • Lateral Surface Area of Cylinder = Total Surface Area of Cylinder-(2*Base Area of Cylinder)
  • Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Total Surface Area of Cylinder/(2*pi*Radius of Cylinder)-Radius of Cylinder)
  • Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)
  • Lateral Surface Area of Cylinder = (2*Volume of Cylinder)/Radius of Cylinder
  • Lateral Surface Area of Cylinder = 2*sqrt(pi*Volume of Cylinder*Height of Cylinder)
  • Lateral Surface Area of Cylinder = 2*Height of Cylinder*sqrt(pi*Base Area of Cylinder)
  • Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*(2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2)
  • Lateral Surface Area of Cylinder = 2*pi*Height of Cylinder*(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)
  • Lateral Surface Area of Cylinder = (Perimeter of Cylinder/2-Height of Cylinder)*Height of Cylinder
  • Lateral Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Perimeter of Cylinder/2-2*pi*Radius of Cylinder)
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