Total Surface Area 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%

✖Total Surface Area of Cylinder is the total quantity of plane enclosed on the entire surface of the Cylinder.ⓘ Total Surface Area of Cylinder given Surface to Volume Ratio and Height [TSA]

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Total Surface Area of Cylinder given Surface to Volume Ratio and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Total Surface Area of Cylinder - (Measured in Square Meter) - Total Surface Area of Cylinder is the total quantity of plane enclosed on the entire surface 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

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

Evaluating ... ...

TSA = 481.834802254719

STEP 3: Convert Result to Output's Unit

481.834802254719 Square Meter --> No Conversion Required

FINAL ANSWER

481.834802254719 ≈ 481.8348 Square Meter <-- Total Surface Area 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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Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

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< Total Surface Area of Cylinder Calculators

Total Surface Area of Cylinder given Diagonal and Height

LaTeX Go Total Surface Area of Cylinder = pi*sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)*(Height of Cylinder+sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)/2)

Total Surface Area of Cylinder given Diagonal and Radius

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

Total Surface Area of Cylinder

LaTeX Go Total Surface Area of Cylinder = 2*pi*Radius of Cylinder*(Height of Cylinder+Radius of Cylinder)

Total Surface Area of Cylinder given Lateral Surface Area and Base Area

LaTeX Go Total Surface Area of Cylinder = Lateral Surface Area of Cylinder+(2*Base Area of Cylinder)

Total Surface Area of Cylinder given Surface to Volume Ratio and Height Formula

LaTeX Go

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 Total Surface Area of Cylinder given Surface to Volume Ratio and Height?

Total Surface Area of Cylinder given Surface to Volume Ratio and Height calculator uses Total Surface Area of Cylinder = 2*pi*(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)*(Height of Cylinder+(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)) to calculate the Total Surface Area of Cylinder, The Total Surface Area of Cylinder given Surface to Volume Ratio and Height formula is defined as the total quantity of plane enclosed on the entire surface of the Cylinder and is calculated using the surface to volume ratio and height of the Cylinder. Total Surface Area of Cylinder is denoted by TSA symbol.

How to calculate Total Surface Area of Cylinder given Surface to Volume Ratio and Height using this online calculator? To use this online calculator for Total Surface Area 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 Total Surface Area of Cylinder given Surface to Volume Ratio and Height calculation can be explained with given input values -> 481.8348 = 2*pi*(2*12)/((12*0.6)-2)*(12+(2*12)/((12*0.6)-2)).

FAQ

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

The Total Surface Area of Cylinder given Surface to Volume Ratio and Height formula is defined as the total quantity of plane enclosed on the entire surface of the Cylinder and is calculated using the surface to volume ratio and height of the Cylinder and is represented as TSA = 2*pi*(2*h)/((h*R_A/V)-2)*(h+(2*h)/((h*R_A/V)-2)) or Total Surface Area of Cylinder = 2*pi*(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)*(Height of Cylinder+(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)). 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 Total Surface Area of Cylinder given Surface to Volume Ratio and Height?

The Total Surface Area of Cylinder given Surface to Volume Ratio and Height formula is defined as the total quantity of plane enclosed on the entire surface of the Cylinder and is calculated using the surface to volume ratio and height of the Cylinder is calculated using Total Surface Area of Cylinder = 2*pi*(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)*(Height of Cylinder+(2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)). To calculate Total Surface Area 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 Total Surface Area of Cylinder?

In this formula, Total Surface Area 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 -

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

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