Base Area of Cylinder given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Base Area of Cylinder = pi*((2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2
ABase = pi*((2*h)/((h*RA/V)-2))^2
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Base Area of Cylinder - (Measured in Square Meter) - Base Area of Cylinder is the area of the base circular face of 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
ABase = pi*((2*h)/((h*RA/V)-2))^2 --> pi*((2*12)/((12*0.6)-2))^2
Evaluating ... ...
ABase = 66.9215003131554
STEP 3: Convert Result to Output's Unit
66.9215003131554 Square Meter --> No Conversion Required
FINAL ANSWER
66.9215003131554 66.9215 Square Meter <-- Base Area 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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Base Area of Cylinder Calculators

Base Area of Cylinder given Lateral Surface Area
​ LaTeX ​ Go Base Area of Cylinder = (Lateral Surface Area of Cylinder/(2*sqrt(pi)*Height of Cylinder))^2
Base Area of Cylinder given Diagonal
​ LaTeX ​ Go Base Area of Cylinder = pi/4*(Diagonal of Cylinder^2-Height of Cylinder^2)
Base Area of Cylinder given Volume
​ LaTeX ​ Go Base Area of Cylinder = Volume of Cylinder/Height of Cylinder
Base Area of Cylinder
​ LaTeX ​ Go Base Area of Cylinder = pi*Radius of Cylinder^2

Base Area of Cylinder given Surface to Volume Ratio Formula

​LaTeX ​Go
Base Area of Cylinder = pi*((2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2
ABase = pi*((2*h)/((h*RA/V)-2))^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 Base Area of Cylinder given Surface to Volume Ratio?

Base Area of Cylinder given Surface to Volume Ratio calculator uses Base Area of Cylinder = pi*((2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2 to calculate the Base Area of Cylinder, The Base Area of Cylinder given Surface to Volume Ratio formula is defined as the area of the base circular face of the Cylinder and is calculated using the surface to volume ratio of the Cylinder. Base Area of Cylinder is denoted by ABase symbol.

How to calculate Base Area of Cylinder given Surface to Volume Ratio using this online calculator? To use this online calculator for Base Area of Cylinder given Surface to Volume Ratio, enter Height of Cylinder (h) & Surface to Volume Ratio of Cylinder (RA/V) and hit the calculate button. Here is how the Base Area of Cylinder given Surface to Volume Ratio calculation can be explained with given input values -> 66.9215 = pi*((2*12)/((12*0.6)-2))^2.

FAQ

What is Base Area of Cylinder given Surface to Volume Ratio?
The Base Area of Cylinder given Surface to Volume Ratio formula is defined as the area of the base circular face of the Cylinder and is calculated using the surface to volume ratio of the Cylinder and is represented as ABase = pi*((2*h)/((h*RA/V)-2))^2 or Base Area of Cylinder = pi*((2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2. 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 Base Area of Cylinder given Surface to Volume Ratio?
The Base Area of Cylinder given Surface to Volume Ratio formula is defined as the area of the base circular face of the Cylinder and is calculated using the surface to volume ratio of the Cylinder is calculated using Base Area of Cylinder = pi*((2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2. To calculate Base Area of Cylinder given Surface to Volume Ratio, you need Height of Cylinder (h) & Surface to Volume Ratio of Cylinder (RA/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 Base Area of Cylinder?
In this formula, Base Area 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 -
  • Base Area of Cylinder = pi*Radius of Cylinder^2
  • Base Area of Cylinder = Volume of Cylinder/Height of Cylinder
  • Base Area of Cylinder = pi/4*(Diagonal of Cylinder^2-Height of Cylinder^2)
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