Height of Cylinder given Surface to Volume Ratio Calculator

✖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 [r]			+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%

✖Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder.ⓘ Height of Cylinder given Surface to Volume Ratio [h]

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Formula

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Height of Cylinder given Surface to Volume Ratio

Formula

`"h" = (2*"r")/(("r"*"R"_{"A/V"})-2)`

Example

`"10m"=(2*"5m")/(("5m"*"0.6m⁻¹")-2)`

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Height of Cylinder given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Radius of Cylinder: 5 Meter --> 5 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

h = (2*r)/((r*R_A/V)-2) --> (2*5)/((5*0.6)-2)

Evaluating ... ...

h = 10

STEP 3: Convert Result to Output's Unit

10 Meter --> No Conversion Required

FINAL ANSWER

10 Meter <-- Height 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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< 7 Height of Cylinder Calculators

Height of Cylinder given Total Surface Area and Base Area

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

Height of Cylinder given Total Surface Area

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

Height of Cylinder given Surface to Volume Ratio

Go Height of Cylinder = (2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2)

Height of Cylinder given Lateral Surface Area

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

Height of Cylinder given Diagonal

Go Height of Cylinder = sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)

Height of Cylinder given Perimeter

Go Height of Cylinder = Perimeter of Cylinder/2-2*pi*Radius of Cylinder

Height of Cylinder given Volume

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

Height of Cylinder given Surface to Volume Ratio Formula

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

Height of Cylinder given Surface to Volume Ratio calculator uses Height of Cylinder = (2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2) to calculate the Height of Cylinder, The Height of Cylinder given Surface to Volume Ratio formula is defined as the longest vertical distance from the bottom circular face to the top circular face of the Cylinder and is calculated using the surface to volume ratio of the Cylinder. Height of Cylinder is denoted by h symbol.

How to calculate Height of Cylinder given Surface to Volume Ratio using this online calculator? To use this online calculator for Height of Cylinder given Surface to Volume Ratio, enter Radius of Cylinder (r) & Surface to Volume Ratio of Cylinder (R_A/V) and hit the calculate button. Here is how the Height of Cylinder given Surface to Volume Ratio calculation can be explained with given input values -> 10 = (2*5)/((5*0.6)-2).

FAQ

What is Height of Cylinder given Surface to Volume Ratio?

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

The Height of Cylinder given Surface to Volume Ratio formula is defined as the longest vertical distance from the bottom circular face to the top circular face of the Cylinder and is calculated using the surface to volume ratio of the Cylinder is calculated using Height of Cylinder = (2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2). To calculate Height of Cylinder given Surface to Volume Ratio, you need Radius of Cylinder (r) & Surface to Volume Ratio of Cylinder (R_A/V). With our tool, you need to enter the respective value for Radius 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 Height of Cylinder?

In this formula, Height of Cylinder uses Radius of Cylinder & Surface to Volume Ratio of Cylinder. We can use 6 other way(s) to calculate the same, which is/are as follows -

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

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