Surface to Volume Ratio of Cylinder given Diagonal and Radius Calculator

✖Diagonal of Cylinder is the distance between two opposite corners of a Cylinder.ⓘ Diagonal of Cylinder [d]			+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 [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 given Diagonal and Radius [R_A/V]

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Surface to Volume Ratio of Cylinder given Diagonal and Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Diagonal of Cylinder: 16 Square Meter --> 16 Square Meter No Conversion Required
Radius of Cylinder: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (2*(sqrt(d^2-(2*r)^2)+r))/(r*sqrt(d^2-(2*r)^2)) --> (2*(sqrt(16^2-(2*5)^2)+5))/(5*sqrt(16^2-(2*5)^2))

Evaluating ... ...

R_A/V = 0.560128153805087

STEP 3: Convert Result to Output's Unit

0.560128153805087 1 per Meter --> No Conversion Required

FINAL ANSWER

0.560128153805087 ≈ 0.560128 1 per Meter <-- Surface to Volume Ratio of Cylinder

(Calculation completed in 00.007 seconds)

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

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< Surface to Volume Ratio of Cylinder Calculators

Surface to Volume Ratio of Cylinder given Diagonal and Height

LaTeX Go Surface to Volume Ratio of Cylinder = (sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)*(Height of Cylinder+sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)/2))/(((Diagonal of Cylinder^2-Height of Cylinder^2)*Height of Cylinder)/4)

Surface to Volume Ratio of Cylinder given Diagonal and Radius

LaTeX Go Surface to Volume Ratio of Cylinder = (2*(sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)+Radius of Cylinder))/(Radius of Cylinder*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2))

Surface to Volume Ratio of Cylinder given Base Area

LaTeX Go Surface to Volume Ratio of Cylinder = (2*(sqrt(pi*Base Area of Cylinder)*Height of Cylinder+Base Area of Cylinder))/(Base Area of Cylinder*Height of Cylinder)

Surface to Volume Ratio of Cylinder

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

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

Surface to Volume Ratio of Cylinder given Diagonal and Radius calculator uses Surface to Volume Ratio of Cylinder = (2*(sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)+Radius of Cylinder))/(Radius of Cylinder*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)) to calculate the Surface to Volume Ratio of Cylinder, The Surface to Volume Ratio of Cylinder given Diagonal and Radius formula is defined as the numerical ratio of the total surface area of a Cylinder to the volume of the Cylinder and is calculated using the diagonal and radius of the Cylinder. Surface to Volume Ratio of Cylinder is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Cylinder given Diagonal and Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Cylinder given Diagonal and Radius, enter Diagonal of Cylinder (d) & Radius of Cylinder (r) and hit the calculate button. Here is how the Surface to Volume Ratio of Cylinder given Diagonal and Radius calculation can be explained with given input values -> 0.560128 = (2*(sqrt(16^2-(2*5)^2)+5))/(5*sqrt(16^2-(2*5)^2)).

FAQ

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

The Surface to Volume Ratio of Cylinder given Diagonal and Radius formula is defined as the numerical ratio of the total surface area of a Cylinder to the volume of the Cylinder and is calculated using the diagonal and radius of the Cylinder and is represented as R_A/V = (2*(sqrt(d^2-(2*r)^2)+r))/(r*sqrt(d^2-(2*r)^2)) or Surface to Volume Ratio of Cylinder = (2*(sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)+Radius of Cylinder))/(Radius of Cylinder*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)). Diagonal of Cylinder is the distance between two opposite corners of a Cylinder & Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder.

How to calculate Surface to Volume Ratio of Cylinder given Diagonal and Radius?

The Surface to Volume Ratio of Cylinder given Diagonal and Radius formula is defined as the numerical ratio of the total surface area of a Cylinder to the volume of the Cylinder and is calculated using the diagonal and radius of the Cylinder is calculated using Surface to Volume Ratio of Cylinder = (2*(sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)+Radius of Cylinder))/(Radius of Cylinder*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)). To calculate Surface to Volume Ratio of Cylinder given Diagonal and Radius, you need Diagonal of Cylinder (d) & Radius of Cylinder (r). With our tool, you need to enter the respective value for Diagonal of Cylinder & Radius 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 Surface to Volume Ratio of Cylinder?

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

Surface to Volume Ratio of Cylinder = (2*(Height of Cylinder+Radius of Cylinder))/(Radius of Cylinder*Height of Cylinder)
Surface to Volume Ratio of Cylinder = (2*(sqrt(pi*Base Area of Cylinder)*Height of Cylinder+Base Area of Cylinder))/(Base Area of Cylinder*Height of Cylinder)
Surface to Volume Ratio of Cylinder = (sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)*(Height of Cylinder+sqrt(Diagonal of Cylinder^2-Height of Cylinder^2)/2))/(((Diagonal of Cylinder^2-Height of Cylinder^2)*Height of Cylinder)/4)

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