Radius of Cylinder given Surface to Volume Ratio 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%

✖Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder.ⓘ Radius of Cylinder given Surface to Volume Ratio [r]

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Radius of Cylinder given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Cylinder = (2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)
r = (2*h)/((h*R_A/V)-2)
This formula uses 3 Variables

Variables Used

Radius of Cylinder - (Measured in Meter) - Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces 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

r = (2*h)/((h*R_A/V)-2) --> (2*12)/((12*0.6)-2)

Evaluating ... ...

r = 4.61538461538462

STEP 3: Convert Result to Output's Unit

4.61538461538462 Meter --> No Conversion Required

FINAL ANSWER

4.61538461538462 ≈ 4.615385 Meter <-- Radius of Cylinder

(Calculation completed in 00.020 seconds)

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

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< Radius of Cylinder Calculators

Radius of Cylinder given Total Surface Area and Base Area

LaTeX Go Radius of Cylinder = (Total Surface Area of Cylinder-2*Base Area of Cylinder)/(2*pi*Height of Cylinder)

Radius of Cylinder given Volume

LaTeX Go Radius of Cylinder = sqrt(Volume of Cylinder/(pi*Height of Cylinder))

Radius of Cylinder given Lateral Surface Area

LaTeX Go Radius of Cylinder = Lateral Surface Area of Cylinder/(2*pi*Height of Cylinder)

Radius of Cylinder given Base Area

LaTeX Go Radius of Cylinder = sqrt(Base Area of Cylinder/pi)

Radius of Cylinder given Surface to Volume Ratio Formula

LaTeX Go

Radius of Cylinder = (2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2)
r = (2*h)/((h*R_A/V)-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 Radius of Cylinder given Surface to Volume Ratio?

Radius of Cylinder given Surface to Volume Ratio calculator uses Radius of Cylinder = (2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2) to calculate the Radius of Cylinder, The Radius of Cylinder given Surface to Volume Ratio formula is defined as the distance between the center and any point on the circumference of the circular faces of the Cylinder and is calculated using the surface to volume ratio of the Cylinder. Radius of Cylinder is denoted by r symbol.

How to calculate Radius of Cylinder given Surface to Volume Ratio using this online calculator? To use this online calculator for Radius of Cylinder given Surface to Volume Ratio, enter Height of Cylinder (h) & Surface to Volume Ratio of Cylinder (R_A/V) and hit the calculate button. Here is how the Radius of Cylinder given Surface to Volume Ratio calculation can be explained with given input values -> 4.615385 = (2*12)/((12*0.6)-2).

FAQ

What is Radius of Cylinder given Surface to Volume Ratio?

The Radius of Cylinder given Surface to Volume Ratio formula is defined as the distance between the center and any point on the circumference of the circular faces of the Cylinder and is calculated using the surface to volume ratio of the Cylinder and is represented as r = (2*h)/((h*R_A/V)-2) or Radius 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 Radius of Cylinder given Surface to Volume Ratio?

The Radius of Cylinder given Surface to Volume Ratio formula is defined as the distance between the center and any point on the circumference of the circular faces of the Cylinder and is calculated using the surface to volume ratio of the Cylinder is calculated using Radius of Cylinder = (2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2). To calculate Radius of Cylinder given Surface to Volume Ratio, 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 Radius of Cylinder?

In this formula, Radius 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 -

Radius of Cylinder = sqrt(Volume of Cylinder/(pi*Height of Cylinder))
Radius of Cylinder = sqrt(Base Area of Cylinder/pi)
Radius of Cylinder = Lateral Surface Area of Cylinder/(2*pi*Height of Cylinder)

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