Surface to Volume Ratio of Cylinder given Perimeter and Radius Calculator

✖Perimeter of Cylinder is the total distance around the boundary of the Cylinder.ⓘ Perimeter of Cylinder [P]			+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 Perimeter and Radius [R_A/V]

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Surface to Volume Ratio of Cylinder given Perimeter and Radius

Formula

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

Example

`"0.547231m⁻¹"=(2*("90m"/2-(2*pi*"5m")+"5m"))/("5m"*("90m"/2-2*pi*"5m"))`

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Surface to Volume Ratio of Cylinder given Perimeter and Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Cylinder = (2*(Perimeter of Cylinder/2-(2*pi*Radius of Cylinder)+Radius of Cylinder))/(Radius of Cylinder*(Perimeter of Cylinder/2-2*pi*Radius of Cylinder))
R_A/V = (2*(P/2-(2*pi*r)+r))/(r*(P/2-2*pi*r))
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Perimeter of Cylinder - (Measured in Meter) - Perimeter of Cylinder is the total distance around the boundary 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.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Cylinder: 90 Meter --> 90 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*(P/2-(2*pi*r)+r))/(r*(P/2-2*pi*r)) --> (2*(90/2-(2*pi*5)+5))/(5*(90/2-2*pi*5))

Evaluating ... ...

R_A/V = 0.547231241445013

STEP 3: Convert Result to Output's Unit

0.547231241445013 1 per Meter --> No Conversion Required

FINAL ANSWER

0.547231241445013 ≈ 0.547231 1 per Meter <-- Surface to Volume Ratio 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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The National Institute of Engineering (NIE), Mysuru

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< 12 Surface to Volume Ratio of Cylinder Calculators

Surface to Volume Ratio of Cylinder given Diagonal and Height

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 Volume and Height

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

Surface to Volume Ratio of Cylinder given Perimeter and Height

Go Surface to Volume Ratio of Cylinder = (2*(Height of Cylinder+(Perimeter of Cylinder/2-Height of Cylinder)/(2*pi)))/((Perimeter of Cylinder/2-Height of Cylinder)/(2*pi)*Height of Cylinder)

Surface to Volume Ratio of Cylinder given Diagonal and Radius

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 Perimeter and Radius

Go Surface to Volume Ratio of Cylinder = (2*(Perimeter of Cylinder/2-(2*pi*Radius of Cylinder)+Radius of Cylinder))/(Radius of Cylinder*(Perimeter of Cylinder/2-2*pi*Radius of Cylinder))

Surface to Volume Ratio of Cylinder given Total Surface Area and Radius

Go Surface to Volume Ratio of Cylinder = Total Surface Area of Cylinder/(pi*Radius of Cylinder^2*(Total Surface Area of Cylinder/(2*pi*Radius of Cylinder)-Radius of Cylinder))

Surface to Volume Ratio of Cylinder given Base Area

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 given Volume and Radius

Go Surface to Volume Ratio of Cylinder = (2*pi*Radius of Cylinder*(Volume of Cylinder/(pi*Radius of Cylinder^2)+Radius of Cylinder))/Volume of Cylinder

Surface to Volume Ratio of Cylinder given Lateral Surface Area and Height

Go Surface to Volume Ratio of Cylinder = (Height of Cylinder+Lateral Surface Area of Cylinder/(2*pi*Height of Cylinder))/(Lateral Surface Area of Cylinder/(4*pi))

Surface to Volume Ratio of Cylinder given Lateral Surface Area and Radius

Go Surface to Volume Ratio of Cylinder = (Lateral Surface Area of Cylinder+2*pi*Radius of Cylinder^2)/((Lateral Surface Area of Cylinder*Radius of Cylinder)/2)

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

Go Surface to Volume Ratio of Cylinder = Total Surface Area of Cylinder/((Total Surface Area of Cylinder-2*Base Area of Cylinder)^2/(4*pi*Height of Cylinder))

Surface to Volume Ratio of Cylinder

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 Perimeter and Radius Formula

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 Perimeter and Radius?

Surface to Volume Ratio of Cylinder given Perimeter and Radius calculator uses Surface to Volume Ratio of Cylinder = (2*(Perimeter of Cylinder/2-(2*pi*Radius of Cylinder)+Radius of Cylinder))/(Radius of Cylinder*(Perimeter of Cylinder/2-2*pi*Radius of Cylinder)) to calculate the Surface to Volume Ratio of Cylinder, The Surface to Volume Ratio of Cylinder given Perimeter 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 perimeter 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 Perimeter and Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Cylinder given Perimeter and Radius, enter Perimeter of Cylinder (P) & Radius of Cylinder (r) and hit the calculate button. Here is how the Surface to Volume Ratio of Cylinder given Perimeter and Radius calculation can be explained with given input values -> 0.547231 = (2*(90/2-(2*pi*5)+5))/(5*(90/2-2*pi*5)).

FAQ

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

The Surface to Volume Ratio of Cylinder given Perimeter 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 perimeter and radius of the Cylinder and is represented as R_A/V = (2*(P/2-(2*pi*r)+r))/(r*(P/2-2*pi*r)) or Surface to Volume Ratio of Cylinder = (2*(Perimeter of Cylinder/2-(2*pi*Radius of Cylinder)+Radius of Cylinder))/(Radius of Cylinder*(Perimeter of Cylinder/2-2*pi*Radius of Cylinder)). Perimeter of Cylinder is the total distance around the boundary of the 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 Perimeter and Radius?

The Surface to Volume Ratio of Cylinder given Perimeter 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 perimeter and radius of the Cylinder is calculated using Surface to Volume Ratio of Cylinder = (2*(Perimeter of Cylinder/2-(2*pi*Radius of Cylinder)+Radius of Cylinder))/(Radius of Cylinder*(Perimeter of Cylinder/2-2*pi*Radius of Cylinder)). To calculate Surface to Volume Ratio of Cylinder given Perimeter and Radius, you need Perimeter of Cylinder (P) & Radius of Cylinder (r). With our tool, you need to enter the respective value for Perimeter 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 Perimeter of Cylinder & Radius of Cylinder. We can use 11 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)
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 = (Height of Cylinder+Lateral Surface Area of Cylinder/(2*pi*Height of Cylinder))/(Lateral Surface Area of Cylinder/(4*pi))
Surface to Volume Ratio of Cylinder = (Lateral Surface Area of Cylinder+2*pi*Radius of Cylinder^2)/((Lateral Surface Area of Cylinder*Radius of Cylinder)/2)
Surface to Volume Ratio of Cylinder = (2*pi*sqrt(Volume of Cylinder/(pi*Height of Cylinder))*(Height of Cylinder+sqrt(Volume of Cylinder/(pi*Height of Cylinder))))/Volume of Cylinder
Surface to Volume Ratio of Cylinder = (2*pi*Radius of Cylinder*(Volume of Cylinder/(pi*Radius of Cylinder^2)+Radius of Cylinder))/Volume of Cylinder
Surface to Volume Ratio of Cylinder = Total Surface Area of Cylinder/((Total Surface Area of Cylinder-2*Base Area of Cylinder)^2/(4*pi*Height of Cylinder))
Surface to Volume Ratio of Cylinder = Total Surface Area of Cylinder/(pi*Radius of Cylinder^2*(Total Surface Area of Cylinder/(2*pi*Radius of Cylinder)-Radius of Cylinder))
Surface to Volume Ratio of Cylinder = (2*(Height of Cylinder+(Perimeter of Cylinder/2-Height of Cylinder)/(2*pi)))/((Perimeter of Cylinder/2-Height of Cylinder)/(2*pi)*Height of Cylinder)

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