Diagonal of Cylinder given Base Area Calculator

✖Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder.ⓘ Height of Cylinder [h]			+10% -10%
✖Base Area of Cylinder is the area of the base circular face of Cylinder.ⓘ Base Area of Cylinder [A_Base]			+10% -10%

✖Diagonal of Cylinder is the distance between two opposite corners of a Cylinder.ⓘ Diagonal of Cylinder given Base Area [d]

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Formula

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Diagonal of Cylinder given Base Area

Formula

`"d" = sqrt("h"^2+(4*"A"_{"Base"})/pi)`

Example

`"15.6799m²"=sqrt(("12m")^2+(4*"80m²")/pi)`

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Diagonal of Cylinder given Base Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal of Cylinder = sqrt(Height of Cylinder^2+(4*Base Area of Cylinder)/pi)
d = sqrt(h^2+(4*A_Base)/pi)
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.
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.
Base Area of Cylinder - (Measured in Square Meter) - Base Area of Cylinder is the area of the base circular face of Cylinder.

STEP 1: Convert Input(s) to Base Unit

Height of Cylinder: 12 Meter --> 12 Meter No Conversion Required
Base Area of Cylinder: 80 Square Meter --> 80 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = sqrt(h^2+(4*A_Base)/pi) --> sqrt(12^2+(4*80)/pi)

Evaluating ... ...

d = 15.6798967974542

STEP 3: Convert Result to Output's Unit

15.6798967974542 Square Meter --> No Conversion Required

FINAL ANSWER

15.6798967974542 ≈ 15.6799 Square Meter <-- Diagonal of Cylinder

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

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 Base Area Formula

Diagonal of Cylinder = sqrt(Height of Cylinder^2+(4*Base Area of Cylinder)/pi)
d = sqrt(h^2+(4*A_Base)/pi)

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 Base Area?

Diagonal of Cylinder given Base Area calculator uses Diagonal of Cylinder = sqrt(Height of Cylinder^2+(4*Base Area of Cylinder)/pi) to calculate the Diagonal of Cylinder, The Diagonal of Cylinder given Base Area formula is defined as the distance between two opposite corners of a Cylinder and is calculated using the base area of the Cylinder. Diagonal of Cylinder is denoted by d symbol.

How to calculate Diagonal of Cylinder given Base Area using this online calculator? To use this online calculator for Diagonal of Cylinder given Base Area, enter Height of Cylinder (h) & Base Area of Cylinder (A_Base) and hit the calculate button. Here is how the Diagonal of Cylinder given Base Area calculation can be explained with given input values -> 15.6799 = sqrt(12^2+(4*80)/pi).

FAQ

What is Diagonal of Cylinder given Base Area?

The Diagonal of Cylinder given Base Area formula is defined as the distance between two opposite corners of a Cylinder and is calculated using the base area of the Cylinder and is represented as d = sqrt(h^2+(4*A_Base)/pi) or Diagonal of Cylinder = sqrt(Height of Cylinder^2+(4*Base Area of Cylinder)/pi). Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder & Base Area of Cylinder is the area of the base circular face of Cylinder.

How to calculate Diagonal of Cylinder given Base Area?

The Diagonal of Cylinder given Base Area formula is defined as the distance between two opposite corners of a Cylinder and is calculated using the base area of the Cylinder is calculated using Diagonal of Cylinder = sqrt(Height of Cylinder^2+(4*Base Area of Cylinder)/pi). To calculate Diagonal of Cylinder given Base Area, you need Height of Cylinder (h) & Base Area of Cylinder (A_Base). With our tool, you need to enter the respective value for Height of Cylinder & Base 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 & Base Area 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((Lateral Surface Area of Cylinder/(2*pi*Radius 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*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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