Perimeter of Cylinder given Diagonal and Height Calculator

✖Diagonal of Cylinder is the distance between two opposite corners of a Cylinder.ⓘ Diagonal of Cylinder [d]			+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 [h]			+10% -10%

✖Perimeter of Cylinder is the total distance around the boundary of the Cylinder.ⓘ Perimeter of Cylinder given Diagonal and Height [P]

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Formula

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Perimeter of Cylinder given Diagonal and Height

Formula

`"P" = 2*(pi*sqrt("d"^2-"h"^2)+"h")`

Example

`"90.49498m"=2*(pi*sqrt(("16m²")^2-("12m")^2)+"12m")`

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Perimeter of Cylinder given Diagonal and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Cylinder = 2*(pi*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)+Height of Cylinder)
P = 2*(pi*sqrt(d^2-h^2)+h)
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

Perimeter of Cylinder - (Measured in Meter) - Perimeter of Cylinder is the total distance around the boundary of the Cylinder.
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.

STEP 1: Convert Input(s) to Base Unit

Diagonal of Cylinder: 16 Square Meter --> 16 Square Meter No Conversion Required
Height of Cylinder: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 2*(pi*sqrt(d^2-h^2)+h) --> 2*(pi*sqrt(16^2-12^2)+12)

Evaluating ... ...

P = 90.4949830565287

STEP 3: Convert Result to Output's Unit

90.4949830565287 Meter --> No Conversion Required

FINAL ANSWER

90.4949830565287 ≈ 90.49498 Meter <-- Perimeter 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 Perimeter of Cylinder Calculators

Perimeter of Cylinder given Total Surface Area and Radius

Go Perimeter of Cylinder = 2*(2*pi*Radius of Cylinder+Total Surface Area of Cylinder/(2*pi*Radius of Cylinder)-Radius of Cylinder)

Perimeter of Cylinder given Surface to Volume Ratio and Radius

Go Perimeter of Cylinder = 2*(2*pi*Radius of Cylinder+(2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2))

Perimeter of Cylinder given Surface to Volume Ratio and Height

Go Perimeter of Cylinder = 2*(2*pi*(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)+Height of Cylinder)

Perimeter of Cylinder given Lateral Surface Area and Radius

Go Perimeter of Cylinder = 2*(2*pi*Radius of Cylinder+Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder))

Perimeter of Cylinder given Diagonal and Radius

Go Perimeter of Cylinder = 2*(2*pi*Radius of Cylinder+sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2))

Perimeter of Cylinder given Diagonal and Height

Go Perimeter of Cylinder = 2*(pi*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)+Height of Cylinder)

Perimeter of Cylinder given Volume and Radius

Go Perimeter of Cylinder = 2*(2*pi*Radius of Cylinder+Volume of Cylinder/(pi*Radius of Cylinder^2))

Perimeter of Cylinder given Volume and Height

Go Perimeter of Cylinder = 2*(2*sqrt((pi*Volume of Cylinder)/Height of Cylinder)+Height of Cylinder)

Perimeter of Cylinder given Total Surface Area and Height

Go Perimeter of Cylinder = 2*((Total Surface Area of Cylinder-2*Base Area of Cylinder)/Height of Cylinder+Height of Cylinder)

Perimeter of Cylinder given Base Area

Go Perimeter of Cylinder = 2*(2*sqrt(pi*Base Area of Cylinder)+Height of Cylinder)

Perimeter of Cylinder given Lateral Surface Area and Height

Go Perimeter of Cylinder = 2*(Lateral Surface Area of Cylinder/Height of Cylinder+Height of Cylinder)

Perimeter of Cylinder

Go Perimeter of Cylinder = 2*(2*pi*Radius of Cylinder+Height of Cylinder)

Perimeter of Cylinder given Diagonal and Height Formula

Perimeter of Cylinder = 2*(pi*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)+Height of Cylinder)
P = 2*(pi*sqrt(d^2-h^2)+h)

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 Perimeter of Cylinder given Diagonal and Height?

Perimeter of Cylinder given Diagonal and Height calculator uses Perimeter of Cylinder = 2*(pi*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)+Height of Cylinder) to calculate the Perimeter of Cylinder, The Perimeter of Cylinder given Diagonal and Height formula is defined as the total distance around the boundary of the Cylinder and is calculated using the diagonal and height of the Cylinder. Perimeter of Cylinder is denoted by P symbol.

How to calculate Perimeter of Cylinder given Diagonal and Height using this online calculator? To use this online calculator for Perimeter of Cylinder given Diagonal and Height, enter Diagonal of Cylinder (d) & Height of Cylinder (h) and hit the calculate button. Here is how the Perimeter of Cylinder given Diagonal and Height calculation can be explained with given input values -> 90.49498 = 2*(pi*sqrt(16^2-12^2)+12).

FAQ

What is Perimeter of Cylinder given Diagonal and Height?

The Perimeter of Cylinder given Diagonal and Height formula is defined as the total distance around the boundary of the Cylinder and is calculated using the diagonal and height of the Cylinder and is represented as P = 2*(pi*sqrt(d^2-h^2)+h) or Perimeter of Cylinder = 2*(pi*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)+Height of Cylinder). Diagonal of Cylinder is the distance between two opposite corners of a Cylinder & Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder.

How to calculate Perimeter of Cylinder given Diagonal and Height?

The Perimeter of Cylinder given Diagonal and Height formula is defined as the total distance around the boundary of the Cylinder and is calculated using the diagonal and height of the Cylinder is calculated using Perimeter of Cylinder = 2*(pi*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)+Height of Cylinder). To calculate Perimeter of Cylinder given Diagonal and Height, you need Diagonal of Cylinder (d) & Height of Cylinder (h). With our tool, you need to enter the respective value for Diagonal of Cylinder & Height 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 Perimeter of Cylinder?

In this formula, Perimeter of Cylinder uses Diagonal of Cylinder & Height of Cylinder. We can use 11 other way(s) to calculate the same, which is/are as follows -

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

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