Base Area of Half Cylinder given Surface to Volume Ratio and Height Calculator

✖Height of Half Cylinder is the perpendicular distance between the top and bottom faces of Half Cylinder.ⓘ Height of Half Cylinder [h]			+10% -10%
✖Surface to Volume Ratio of Half Cylinder is the fraction of the surface area to the volume of the Half Cylinder.ⓘ Surface to Volume Ratio of Half Cylinder [R_A/V]			+10% -10%

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

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Base Area of Half Cylinder given Surface to Volume Ratio and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Base Area of Half Cylinder - (Measured in Square Meter) - Base Area of Half Cylinder is the area of the base circular face of Half Cylinder.
Height of Half Cylinder - (Measured in Meter) - Height of Half Cylinder is the perpendicular distance between the top and bottom faces of Half Cylinder.
Surface to Volume Ratio of Half Cylinder - (Measured in 1 per Meter) - Surface to Volume Ratio of Half Cylinder is the fraction of the surface area to the volume of the Half Cylinder.

STEP 1: Convert Input(s) to Base Unit

Height of Half Cylinder: 12 Meter --> 12 Meter No Conversion Required
Surface to Volume Ratio of Half Cylinder: 0.5 1 per Meter --> 0.5 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_Base = pi/2*((h*(pi+2))/((1/2*pi*R_A/V*h)-pi))^2 --> pi/2*((12*(pi+2))/((1/2*pi*0.5*12)-pi))^2

Evaluating ... ...

A_Base = 151.466979569849

STEP 3: Convert Result to Output's Unit

151.466979569849 Square Meter --> No Conversion Required

FINAL ANSWER

151.466979569849 ≈ 151.467 Square Meter <-- Base Area of Half Cylinder

(Calculation completed in 00.020 seconds)

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

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< Base Area of Half Cylinder Calculators

Base Area of Half Cylinder given Surface to Volume Ratio and Height

LaTeX Go Base Area of Half Cylinder = pi/2*((Height of Half Cylinder*(pi+2))/((1/2*pi*Surface to Volume Ratio of Half Cylinder*Height of Half Cylinder)-pi))^2

Base Area of Half Cylinder given Curved Surface Area and Height

LaTeX Go Base Area of Half Cylinder = Curved Surface Area of Half Cylinder^2/(2*pi*Height of Half Cylinder^2)

Base Area of Half Cylinder given Space Diagonal and Height

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

Base Area of Half Cylinder

LaTeX Go Base Area of Half Cylinder = (pi*Radius of Half Cylinder^2)/2

Base Area of Half Cylinder given Surface to Volume Ratio and Height Formula

LaTeX Go

What is Half Cylinder?

A Half-cylindrical shape in mathematics is a three-dimensional solid figure which is obtained when a cylinder is truncated longitudinally. When a horizontal cylinder is cut into two equal pieces parallel to the length of the cylinder, the shapes thus obtained are called half-cylinders.

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

Base Area of Half Cylinder given Surface to Volume Ratio and Height calculator uses Base Area of Half Cylinder = pi/2*((Height of Half Cylinder*(pi+2))/((1/2*pi*Surface to Volume Ratio of Half Cylinder*Height of Half Cylinder)-pi))^2 to calculate the Base Area of Half Cylinder, The Base Area of Half Cylinder given Surface to Volume Ratio and Height formula is defined as the area of the base circular face of Half Cylinder, calculated using surface to volume ratio and height of Half Cylinder. Base Area of Half Cylinder is denoted by A_Base symbol.

How to calculate Base Area of Half Cylinder given Surface to Volume Ratio and Height using this online calculator? To use this online calculator for Base Area of Half Cylinder given Surface to Volume Ratio and Height, enter Height of Half Cylinder (h) & Surface to Volume Ratio of Half Cylinder (R_A/V) and hit the calculate button. Here is how the Base Area of Half Cylinder given Surface to Volume Ratio and Height calculation can be explained with given input values -> 151.467 = pi/2*((12*(pi+2))/((1/2*pi*0.5*12)-pi))^2.

FAQ

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

The Base Area of Half Cylinder given Surface to Volume Ratio and Height formula is defined as the area of the base circular face of Half Cylinder, calculated using surface to volume ratio and height of Half Cylinder and is represented as A_Base = pi/2*((h*(pi+2))/((1/2*pi*R_A/V*h)-pi))^2 or Base Area of Half Cylinder = pi/2*((Height of Half Cylinder*(pi+2))/((1/2*pi*Surface to Volume Ratio of Half Cylinder*Height of Half Cylinder)-pi))^2. Height of Half Cylinder is the perpendicular distance between the top and bottom faces of Half Cylinder & Surface to Volume Ratio of Half Cylinder is the fraction of the surface area to the volume of the Half Cylinder.

How to calculate Base Area of Half Cylinder given Surface to Volume Ratio and Height?

The Base Area of Half Cylinder given Surface to Volume Ratio and Height formula is defined as the area of the base circular face of Half Cylinder, calculated using surface to volume ratio and height of Half Cylinder is calculated using Base Area of Half Cylinder = pi/2*((Height of Half Cylinder*(pi+2))/((1/2*pi*Surface to Volume Ratio of Half Cylinder*Height of Half Cylinder)-pi))^2. To calculate Base Area of Half Cylinder given Surface to Volume Ratio and Height, you need Height of Half Cylinder (h) & Surface to Volume Ratio of Half Cylinder (R_A/V). With our tool, you need to enter the respective value for Height of Half Cylinder & Surface to Volume Ratio of Half 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 Half Cylinder?

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

Base Area of Half Cylinder = (pi*Radius of Half Cylinder^2)/2
Base Area of Half Cylinder = Curved Surface Area of Half Cylinder^2/(2*pi*Height of Half Cylinder^2)
Base Area of Half Cylinder = (pi*(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2))/2

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