Base Area of Cylinder given Surface to Volume Ratio 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%

✖Base Area of Cylinder is the area of the base circular face of Cylinder.ⓘ Base Area of Cylinder given Surface to Volume Ratio [A_Base]

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Formula

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Base Area of Cylinder given Surface to Volume Ratio

Formula

`"A"_{"Base"} = pi*((2*"h")/(("h"*"R"_{"A/V"})-2))^2`

Example

`"66.9215m²"=pi*((2*"12m")/(("12m"*"0.6m⁻¹")-2))^2`

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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
A_Base = pi*((2*h)/((h*R_A/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

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

Evaluating ... ...

A_Base = 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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Created by Dhruv Walia

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

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< 7 Base Area of Cylinder Calculators

Base Area of Cylinder given Surface to Volume Ratio

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

Base Area of Cylinder given Lateral Surface Area

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

Base Area of Cylinder given Perimeter

Go Base Area of Cylinder = pi*((Perimeter of Cylinder/2-Height of Cylinder)/(2*pi))^2

Base Area of Cylinder given Diagonal

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

Base Area of Cylinder given Lateral Surface Area and Total Surface Area

Go Base Area of Cylinder = (Total Surface Area of Cylinder-Lateral Surface Area of Cylinder)/2

Base Area of Cylinder given Volume

Go Base Area of Cylinder = Volume of Cylinder/Height of Cylinder

Base Area of Cylinder

Go Base Area of Cylinder = pi*Radius of Cylinder^2

Base Area of Cylinder given Surface to Volume Ratio Formula

Base Area of Cylinder = pi*((2*Height of Cylinder)/((Height of Cylinder*Surface to Volume Ratio of Cylinder)-2))^2
A_Base = pi*((2*h)/((h*R_A/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 A_Base 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 (R_A/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 A_Base = pi*((2*h)/((h*R_A/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 (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 Base Area of Cylinder?

In this formula, Base Area of Cylinder uses Height of Cylinder & Surface to Volume Ratio of Cylinder. We can use 6 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)
Base Area of Cylinder = (Lateral Surface Area of Cylinder/(2*sqrt(pi)*Height of Cylinder))^2
Base Area of Cylinder = (Total Surface Area of Cylinder-Lateral Surface Area of Cylinder)/2
Base Area of Cylinder = pi*((Perimeter of Cylinder/2-Height of Cylinder)/(2*pi))^2

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