Volume of Cylinder given Surface to Volume Ratio and Height 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%

✖Volume of Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Cylinder.ⓘ Volume of Cylinder given Surface to Volume Ratio and Height [V]

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Volume of Cylinder given Surface to Volume Ratio and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Cylinder = pi*((2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2*Height of Cylinder
V = pi*((2*h)/((h*R_A/V)-2))^2*h
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Volume of Cylinder - (Measured in Cubic Meter) - Volume of Cylinder is the total quantity of three dimensional space enclosed by the entire surface 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

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

Evaluating ... ...

V = 803.058003757865

STEP 3: Convert Result to Output's Unit

803.058003757865 Cubic Meter --> No Conversion Required

FINAL ANSWER

803.058003757865 ≈ 803.058 Cubic Meter <-- Volume of Cylinder

(Calculation completed in 00.004 seconds)

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

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< Volume of Cylinder Calculators

Volume of Cylinder given Diagonal and Radius

LaTeX Go Volume of Cylinder = pi*Radius of Cylinder^2*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)

Volume of Cylinder

LaTeX Go Volume of Cylinder = pi*Radius of Cylinder^2*Height of Cylinder

Volume of Cylinder given Lateral Surface Area and Radius

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

Volume of Cylinder given Base Area

LaTeX Go Volume of Cylinder = Base Area of Cylinder*Height of Cylinder

Volume of Cylinder given Surface to Volume Ratio and Height Formula

LaTeX Go

Volume of Cylinder = pi*((2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2*Height of Cylinder
V = pi*((2*h)/((h*R_A/V)-2))^2*h

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.

What is Volume of a Circular Cylinder?

A cylinder is a solid composed of two congruent circles in parallel planes, their interiors, and all the line segments parallel to the segment containing the centers of both circles with endpoints on the circular regions. Volume of a Circular Cylinder is the amount of space it occupies. Like prisms, the volume is found by multiplying the area of one end of the cylinder (base) by its height.

How to Calculate Volume of Cylinder given Surface to Volume Ratio and Height?

Volume of Cylinder given Surface to Volume Ratio and Height calculator uses Volume of Cylinder = pi*((2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2*Height of Cylinder to calculate the Volume of Cylinder, The Volume of Cylinder given Surface to Volume Ratio and Height formula is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cylinder and is calculated using the surface to volume ratio and height of the Cylinder. Volume of Cylinder is denoted by V symbol.

How to calculate Volume of Cylinder given Surface to Volume Ratio and Height using this online calculator? To use this online calculator for Volume of Cylinder given Surface to Volume Ratio and Height, enter Height of Cylinder (h) & Surface to Volume Ratio of Cylinder (R_A/V) and hit the calculate button. Here is how the Volume of Cylinder given Surface to Volume Ratio and Height calculation can be explained with given input values -> 803.058 = pi*((2*12)/((12*0.6)-2))^2*12.

FAQ

What is Volume of Cylinder given Surface to Volume Ratio and Height?

The Volume of Cylinder given Surface to Volume Ratio and Height formula is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cylinder and is calculated using the surface to volume ratio and height of the Cylinder and is represented as V = pi*((2*h)/((h*R_A/V)-2))^2*h or Volume of Cylinder = pi*((2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2*Height of Cylinder. 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 Volume of Cylinder given Surface to Volume Ratio and Height?

The Volume of Cylinder given Surface to Volume Ratio and Height formula is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cylinder and is calculated using the surface to volume ratio and height of the Cylinder is calculated using Volume of Cylinder = pi*((2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2*Height of Cylinder. To calculate Volume of Cylinder given Surface to Volume Ratio and Height, 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 Volume of Cylinder?

In this formula, Volume 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 -

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

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