Diagonal of Cylinder given Surface to Volume Ratio and Radius 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%

✖Diagonal of Cylinder is the distance between two opposite corners of a Cylinder.ⓘ Diagonal of Cylinder given Surface to Volume Ratio and Radius [d]

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Diagonal of Cylinder given Surface to Volume Ratio and Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal of Cylinder = sqrt(((2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2+(2*Radius of Cylinder)^2)
d = sqrt(((2*r)/((r*R_A/V)-2))^2+(2*r)^2)
This formula uses 1 Functions, 3 Variables

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

Diagonal of Cylinder - (Measured in Square Meter) - Diagonal of Cylinder is the distance between two opposite corners of a 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

d = sqrt(((2*r)/((r*R_A/V)-2))^2+(2*r)^2) --> sqrt(((2*5)/((5*0.6)-2))^2+(2*5)^2)

Evaluating ... ...

d = 14.142135623731

STEP 3: Convert Result to Output's Unit

14.142135623731 Square Meter --> No Conversion Required

FINAL ANSWER

14.142135623731 ≈ 14.14214 Square Meter <-- Diagonal 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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< Diagonal of Cylinder Calculators

Diagonal of Cylinder given Lateral Surface Area and Radius

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

Diagonal of Cylinder given Lateral Surface Area and Height

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

Diagonal of Cylinder given Base Area

LaTeX Go Diagonal of Cylinder = sqrt(Height of Cylinder^2+(4*Base Area of Cylinder)/pi)

Diagonal of Cylinder

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

Diagonal of Cylinder given Surface to Volume Ratio and Radius Formula

LaTeX Go

Diagonal of Cylinder = sqrt(((2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2+(2*Radius of Cylinder)^2)
d = sqrt(((2*r)/((r*R_A/V)-2))^2+(2*r)^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 Diagonal of Cylinder given Surface to Volume Ratio and Radius?

Diagonal of Cylinder given Surface to Volume Ratio and Radius calculator uses Diagonal of Cylinder = sqrt(((2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2+(2*Radius of Cylinder)^2) to calculate the Diagonal of Cylinder, The Diagonal of Cylinder given Surface to Volume Ratio and Radius formula is defined as the distance between two opposite corners of a Cylinder and is calculated using the surface to volume ratio and radius of the Cylinder. Diagonal of Cylinder is denoted by d symbol.

How to calculate Diagonal of Cylinder given Surface to Volume Ratio and Radius using this online calculator? To use this online calculator for Diagonal of Cylinder given Surface to Volume Ratio and Radius, enter Radius of Cylinder (r) & Surface to Volume Ratio of Cylinder (R_A/V) and hit the calculate button. Here is how the Diagonal of Cylinder given Surface to Volume Ratio and Radius calculation can be explained with given input values -> 14.14214 = sqrt(((2*5)/((5*0.6)-2))^2+(2*5)^2).

FAQ

What is Diagonal of Cylinder given Surface to Volume Ratio and Radius?

The Diagonal of Cylinder given Surface to Volume Ratio and Radius formula is defined as the distance between two opposite corners of a Cylinder and is calculated using the surface to volume ratio and radius of the Cylinder and is represented as d = sqrt(((2*r)/((r*R_A/V)-2))^2+(2*r)^2) or Diagonal of Cylinder = sqrt(((2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2+(2*Radius 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 Diagonal of Cylinder given Surface to Volume Ratio and Radius?

The Diagonal of Cylinder given Surface to Volume Ratio and Radius formula is defined as the distance between two opposite corners of a Cylinder and is calculated using the surface to volume ratio and radius of the Cylinder is calculated using Diagonal of Cylinder = sqrt(((2*Radius of Cylinder)/((Radius of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2+(2*Radius of Cylinder)^2). To calculate Diagonal of Cylinder given Surface to Volume Ratio and Radius, 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 Diagonal of Cylinder?

In this formula, Diagonal of Cylinder uses Radius of Cylinder & Surface to Volume Ratio of Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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