Diagonal of Cylinder given Lateral Surface Area and Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diagonal of Cylinder = sqrt(Height of Cylinder^2+(Lateral Surface Area of Cylinder/(pi*Height of Cylinder))^2)
d = sqrt(h^2+(LSA/(pi*h))^2)
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Square root function, sqrt(Number)
Variables Used
Diagonal of Cylinder - (Measured in Square Meter) - Diagonal of Cylinder is the distance between two opposite corners of a 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.
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.
STEP 1: Convert Input(s) to Base Unit
Height of Cylinder: 12 Meter --> 12 Meter No Conversion Required
Lateral Surface Area of Cylinder: 380 Square Meter --> 380 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = sqrt(h^2+(LSA/(pi*h))^2) --> sqrt(12^2+(380/(pi*12))^2)
Evaluating ... ...
d = 15.6717143725464
STEP 3: Convert Result to Output's Unit
15.6717143725464 Square Meter --> No Conversion Required
FINAL ANSWER
15.6717143725464 15.67171 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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10+ 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 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 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)

4 Diagonal of Cylinder Calculators

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 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 Volume and Height
Go Diagonal of Cylinder = sqrt(Height of Cylinder^2+(4*Volume of Cylinder)/(pi*Height of Cylinder))
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 Height Formula

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

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

How to calculate Diagonal of Cylinder given Lateral Surface Area and Height using this online calculator? To use this online calculator for Diagonal of Cylinder given Lateral Surface Area and Height, enter Height of Cylinder (h) & Lateral Surface Area of Cylinder (LSA) and hit the calculate button. Here is how the Diagonal of Cylinder given Lateral Surface Area and Height calculation can be explained with given input values -> 15.67171 = sqrt(12^2+(380/(pi*12))^2).

FAQ

What is Diagonal of Cylinder given Lateral Surface Area and Height?
The Diagonal of Cylinder given Lateral Surface Area and Height formula is defined as the distance between two opposite corners of a Cylinder and is calculated using the lateral surface area and height of the Cylinder and is represented as d = sqrt(h^2+(LSA/(pi*h))^2) or Diagonal of Cylinder = sqrt(Height of Cylinder^2+(Lateral Surface Area of Cylinder/(pi*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 & 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.
How to calculate Diagonal of Cylinder given Lateral Surface Area and Height?
The Diagonal of Cylinder given Lateral Surface Area and Height formula is defined as the distance between two opposite corners of a Cylinder and is calculated using the lateral surface area and height of the Cylinder is calculated using Diagonal of Cylinder = sqrt(Height of Cylinder^2+(Lateral Surface Area of Cylinder/(pi*Height of Cylinder))^2). To calculate Diagonal of Cylinder given Lateral Surface Area and Height, you need Height of Cylinder (h) & Lateral Surface Area of Cylinder (LSA). With our tool, you need to enter the respective value for Height of Cylinder & Lateral Surface Area 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 Height of Cylinder & Lateral Surface Area of Cylinder. We can use 14 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((Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder))^2+(2*Radius 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)
  • Diagonal of Cylinder = sqrt(Height of Cylinder^2+(2*Radius 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(Height of Cylinder^2+(4*Volume of Cylinder)/(pi*Height of Cylinder))
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