Radius of Half Cylinder given Surface to Volume Ratio 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%

✖Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder.ⓘ Radius of Half Cylinder given Surface to Volume Ratio [r]

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Radius of Half Cylinder given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Radius of Half Cylinder - (Measured in Meter) - Radius of Half Cylinder is the radius of the semicircular surface of the 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

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

Evaluating ... ...

r = 9.81971863420549

STEP 3: Convert Result to Output's Unit

9.81971863420549 Meter --> No Conversion Required

FINAL ANSWER

9.81971863420549 ≈ 9.819719 Meter <-- Radius of Half Cylinder

(Calculation completed in 00.006 seconds)

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Created by Divanshi Jain

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

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Verified by Dhruv Walia

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

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< Radius of Half Cylinder Calculators

Radius of Half Cylinder given Volume

LaTeX Go Radius of Half Cylinder = sqrt((2*Volume of Half Cylinder)/(pi*Height of Half Cylinder))

Radius of Half Cylinder given Curved Surface Area

LaTeX Go Radius of Half Cylinder = Curved Surface Area of Half Cylinder/(pi*Height of Half Cylinder)

Radius of Half Cylinder given Space Diagonal

LaTeX Go Radius of Half Cylinder = sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2)

Radius of Half Cylinder given Base Area

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

Radius of Half Cylinder given Surface to Volume Ratio Formula

LaTeX Go

Radius of Half Cylinder = (Height of Half Cylinder*(pi+2))/((1/2*pi*Surface to Volume Ratio of Half Cylinder*Height of Half Cylinder)-pi)
r = (h*(pi+2))/((1/2*pi*R_A/V*h)-pi)

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 Radius of Half Cylinder given Surface to Volume Ratio?

Radius of Half Cylinder given Surface to Volume Ratio calculator uses Radius of Half Cylinder = (Height of Half Cylinder*(pi+2))/((1/2*pi*Surface to Volume Ratio of Half Cylinder*Height of Half Cylinder)-pi) to calculate the Radius of Half Cylinder, The Radius of Half Cylinder given Surface to Volume Ratio formula is defined as the radius of the semicircular surface of the Half Cylinder, calculated using surface to volume ratio of Half Cylinder. Radius of Half Cylinder is denoted by r symbol.

How to calculate Radius of Half Cylinder given Surface to Volume Ratio using this online calculator? To use this online calculator for Radius of Half Cylinder given Surface to Volume Ratio, 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 Radius of Half Cylinder given Surface to Volume Ratio calculation can be explained with given input values -> 9.819719 = (12*(pi+2))/((1/2*pi*0.5*12)-pi).

FAQ

What is Radius of Half Cylinder given Surface to Volume Ratio?

The Radius of Half Cylinder given Surface to Volume Ratio formula is defined as the radius of the semicircular surface of the Half Cylinder, calculated using surface to volume ratio of Half Cylinder and is represented as r = (h*(pi+2))/((1/2*pi*R_A/V*h)-pi) or Radius of Half Cylinder = (Height of Half Cylinder*(pi+2))/((1/2*pi*Surface to Volume Ratio of Half Cylinder*Height of Half Cylinder)-pi). 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 Radius of Half Cylinder given Surface to Volume Ratio?

The Radius of Half Cylinder given Surface to Volume Ratio formula is defined as the radius of the semicircular surface of the Half Cylinder, calculated using surface to volume ratio of Half Cylinder is calculated using Radius of Half Cylinder = (Height of Half Cylinder*(pi+2))/((1/2*pi*Surface to Volume Ratio of Half Cylinder*Height of Half Cylinder)-pi). To calculate Radius of Half Cylinder given Surface to Volume Ratio, 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 Radius of Half Cylinder?

In this formula, Radius 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 -

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

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