Diagonal of Cylinder given Lateral Surface Area and Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diagonal of Cylinder = sqrt((Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder))^2+(2*Radius of Cylinder)^2)
d = sqrt((LSA/(2*pi*r))^2+(2*r)^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
Diagonal of Cylinder - (Measured in Square Meter) - Diagonal of Cylinder is the distance between two opposite corners of a 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
d = sqrt((LSA/(2*pi*r))^2+(2*r)^2) --> sqrt((380/(2*pi*5))^2+(2*5)^2)
Evaluating ... ...
d = 15.6941960348256
STEP 3: Convert Result to Output's Unit
15.6941960348256 Square Meter --> No Conversion Required
FINAL ANSWER
15.6941960348256 15.6942 Square Meter <-- Diagonal of Cylinder
(Calculation completed in 00.004 seconds)

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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12 Diagonal of Cylinder Calculators

Diagonal of Cylinder given Total Surface Area and Height
​ Go Diagonal of Cylinder = sqrt(Height of Cylinder^2+((Total Surface Area of Cylinder-2*Base Area of Cylinder)/(pi*Height of Cylinder))^2)
Diagonal of Cylinder given Total Surface Area and Radius
​ Go 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 given Surface to Volume Ratio and Radius
​ Go Diagonal of Cylinder = sqrt(((2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2+(2*Radius of Cylinder)^2)
Diagonal of Cylinder given Surface to Volume Ratio and Height
​ Go Diagonal of Cylinder = sqrt(Height of Cylinder^2+((4*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2)
Diagonal of Cylinder given Lateral Surface Area and Radius
​ Go Diagonal of Cylinder = sqrt((Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder))^2+(2*Radius of Cylinder)^2)
Diagonal of Cylinder given Lateral Surface Area and Height
​ Go Diagonal of Cylinder = sqrt(Height of Cylinder^2+(Lateral Surface Area of Cylinder/(pi*Height of Cylinder))^2)
Diagonal of Cylinder given Perimeter and Radius
​ Go Diagonal of Cylinder = sqrt((Perimeter of Cylinder/2-2*pi*Radius of Cylinder)^2+(2*Radius of Cylinder)^2)
Diagonal of Cylinder given Volume and Radius
​ Go Diagonal of Cylinder = sqrt((Volume of Cylinder/(pi*Radius of Cylinder^2))^2+(2*Radius of Cylinder)^2)
Diagonal of Cylinder given Perimeter and Height
​ Go Diagonal of Cylinder = sqrt(Height of Cylinder^2+((Perimeter of Cylinder/2-Height of Cylinder)/pi)^2)
Diagonal of Cylinder given Volume and Height
​ Go Diagonal of Cylinder = sqrt(Height of Cylinder^2+(4*Volume of Cylinder)/(pi*Height of Cylinder))
Diagonal of Cylinder given Base Area
​ Go Diagonal of Cylinder = sqrt(Height of Cylinder^2+(4*Base Area of Cylinder)/pi)
Diagonal of Cylinder
​ Go Diagonal of Cylinder = sqrt(Height of Cylinder^2+(2*Radius of Cylinder)^2)

Diagonal of Cylinder given Lateral Surface Area and Radius Formula

Diagonal of Cylinder = sqrt((Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder))^2+(2*Radius of Cylinder)^2)
d = sqrt((LSA/(2*pi*r))^2+(2*r)^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 Diagonal of Cylinder given Lateral Surface Area and Radius?

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

How to calculate Diagonal of Cylinder given Lateral Surface Area and Radius using this online calculator? To use this online calculator for Diagonal of Cylinder given Lateral Surface Area and Radius, enter Lateral Surface Area of Cylinder (LSA) & Radius of Cylinder (r) and hit the calculate button. Here is how the Diagonal of Cylinder given Lateral Surface Area and Radius calculation can be explained with given input values -> 15.6942 = sqrt((380/(2*pi*5))^2+(2*5)^2).

FAQ

What is Diagonal of Cylinder given Lateral Surface Area and Radius?
The Diagonal of Cylinder given Lateral Surface Area and Radius formula is defined as the distance between two opposite corners of a Cylinder and is calculated using the lateral surface area and radius of the Cylinder and is represented as d = sqrt((LSA/(2*pi*r))^2+(2*r)^2) or Diagonal of Cylinder = sqrt((Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder))^2+(2*Radius of Cylinder)^2). 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 Diagonal of Cylinder given Lateral Surface Area and Radius?
The Diagonal of Cylinder given Lateral Surface Area and Radius formula is defined as the distance between two opposite corners of a Cylinder and is calculated using the lateral surface area and radius of the Cylinder is calculated using Diagonal of Cylinder = sqrt((Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder))^2+(2*Radius of Cylinder)^2). To calculate Diagonal of Cylinder given Lateral Surface Area and Radius, 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 Diagonal of Cylinder?
In this formula, Diagonal of Cylinder uses Lateral Surface Area of Cylinder & Radius of Cylinder. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Diagonal of Cylinder = sqrt(Height of Cylinder^2+(2*Radius of Cylinder)^2)
  • Diagonal of Cylinder = sqrt(Height of Cylinder^2+(Lateral Surface Area of Cylinder/(pi*Height of Cylinder))^2)
  • Diagonal of Cylinder = sqrt(Height of Cylinder^2+(4*Base Area of Cylinder)/pi)
  • Diagonal of Cylinder = sqrt(Height of Cylinder^2+(4*Volume of Cylinder)/(pi*Height of Cylinder))
  • Diagonal of Cylinder = sqrt((Volume of Cylinder/(pi*Radius of Cylinder^2))^2+(2*Radius of Cylinder)^2)
  • Diagonal of Cylinder = sqrt(Height of Cylinder^2+((Total Surface Area of Cylinder-2*Base Area of Cylinder)/(pi*Height 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(((2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2+(2*Radius of Cylinder)^2)
  • Diagonal of Cylinder = sqrt(Height of Cylinder^2+((4*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2)
  • Diagonal of Cylinder = sqrt((Perimeter of Cylinder/2-2*pi*Radius of Cylinder)^2+(2*Radius of Cylinder)^2)
  • Diagonal of Cylinder = sqrt(Height of Cylinder^2+((Perimeter of Cylinder/2-Height of Cylinder)/pi)^2)
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