Perimeter of Cylinder given Surface to Volume Ratio and Height 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%
✖Surface to Volume Ratio of Cylinder is the numerical ratio of the total surface area of a Cylinder to the volume of the Cylinder.ⓘ Surface to Volume Ratio of Cylinder [R_A/V]			+10% -10%

✖Perimeter of Cylinder is the total distance around the boundary of the Cylinder.ⓘ Perimeter of Cylinder given Surface to Volume Ratio and Height [P]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Cylinder Formula PDF PDF Image

Perimeter of Cylinder given Surface to Volume Ratio and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Cylinder = 2*(2*pi*(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)+Height of Cylinder)
P = 2*(2*pi*(2*h)/((h*R_A/V)-2)+h)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Perimeter of Cylinder - (Measured in Meter) - Perimeter of Cylinder is the total distance around the boundary 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.
Surface to Volume Ratio of Cylinder - (Measured in 1 per Meter) - Surface to Volume Ratio of Cylinder is the numerical ratio of the total surface area of a Cylinder to the volume of the Cylinder.

STEP 1: Convert Input(s) to Base Unit

Height of Cylinder: 12 Meter --> 12 Meter No Conversion Required
Surface to Volume Ratio of Cylinder: 0.6 1 per Meter --> 0.6 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 2*(2*pi*(2*h)/((h*R_A/V)-2)+h) --> 2*(2*pi*(2*12)/((12*0.6)-2)+12)

Evaluating ... ...

P = 81.9986336047346

STEP 3: Convert Result to Output's Unit

81.9986336047346 Meter --> No Conversion Required

FINAL ANSWER

81.9986336047346 ≈ 81.99863 Meter <-- Perimeter of Cylinder

(Calculation completed in 00.006 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Cylinder » Perimeter of Cylinder » Perimeter of Cylinder given Surface to Volume Ratio and Height

Credits

Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has created this Calculator and 1100+ more calculators!

Verified by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

Nayana Phulphagar has verified this Calculator and 1500+ more calculators!

< Perimeter of Cylinder Calculators

Perimeter of Cylinder given Lateral Surface Area and Radius

LaTeX 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

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

Perimeter of Cylinder given Volume and Radius

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

Perimeter of Cylinder

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

Perimeter of Cylinder given Surface to Volume Ratio and Height Formula

LaTeX Go

Perimeter of Cylinder = 2*(2*pi*(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)+Height of Cylinder)
P = 2*(2*pi*(2*h)/((h*R_A/V)-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 Surface to Volume Ratio and Height?

Perimeter of Cylinder given Surface to Volume Ratio and Height calculator uses Perimeter of Cylinder = 2*(2*pi*(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)+Height of Cylinder) to calculate the Perimeter of Cylinder, The Perimeter of Cylinder given Surface to Volume Ratio and Height formula is defined as the total distance around the boundary of the Cylinder and is calculated using the surface to volume ratio and height of the Cylinder. Perimeter of Cylinder is denoted by P symbol.

How to calculate Perimeter of Cylinder given Surface to Volume Ratio and Height using this online calculator? To use this online calculator for Perimeter of Cylinder given Surface to Volume Ratio and Height, enter Height of Cylinder (h) & Surface to Volume Ratio of Cylinder (R_A/V) and hit the calculate button. Here is how the Perimeter of Cylinder given Surface to Volume Ratio and Height calculation can be explained with given input values -> 81.99863 = 2*(2*pi*(2*12)/((12*0.6)-2)+12).

FAQ

What is Perimeter of Cylinder given Surface to Volume Ratio and Height?

The Perimeter of Cylinder given Surface to Volume Ratio and Height formula is defined as the total distance around the boundary of the Cylinder and is calculated using the surface to volume ratio and height of the Cylinder and is represented as P = 2*(2*pi*(2*h)/((h*R_A/V)-2)+h) or Perimeter of Cylinder = 2*(2*pi*(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)+Height of Cylinder). Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder & Surface to Volume Ratio of Cylinder is the numerical ratio of the total surface area of a Cylinder to the volume of the Cylinder.

How to calculate Perimeter of Cylinder given Surface to Volume Ratio and Height?

The Perimeter of Cylinder given Surface to Volume Ratio and Height formula is defined as the total distance around the boundary of the Cylinder and is calculated using the surface to volume ratio and height of the Cylinder is calculated using Perimeter of Cylinder = 2*(2*pi*(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)+Height of Cylinder). To calculate Perimeter of Cylinder given Surface to Volume Ratio and Height, you need Height of Cylinder (h) & Surface to Volume Ratio of Cylinder (R_A/V). With our tool, you need to enter the respective value for Height of Cylinder & Surface to Volume Ratio 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 Height of Cylinder & Surface to Volume Ratio of Cylinder. We can use 3 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))

Home

FREE PDFs

🔍 Search