Height of Half Cylinder given Surface to Volume Ratio Calculator

✖Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder.ⓘ Radius of Half Cylinder [r]			+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%

✖Height of Half Cylinder is the perpendicular distance between the top and bottom faces of Half Cylinder.ⓘ Height of Half Cylinder given Surface to Volume Ratio [h]

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Height of Half Cylinder given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Height of Half Cylinder - (Measured in Meter) - Height of Half Cylinder is the perpendicular distance between the top and bottom faces of Half Cylinder.
Radius of Half Cylinder - (Measured in Meter) - Radius of Half Cylinder is the radius of the semicircular surface of the 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

Radius of Half Cylinder: 10 Meter --> 10 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

h = (pi*r)/((pi*r*R_A/V)/2-pi-2) --> (pi*10)/((pi*10*0.5)/2-pi-2)

Evaluating ... ...

h = 11.5823824543935

STEP 3: Convert Result to Output's Unit

11.5823824543935 Meter --> No Conversion Required

FINAL ANSWER

11.5823824543935 ≈ 11.58238 Meter <-- Height 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

Divanshi Jain has created this Calculator and 300+ more calculators!

Verified by Dhruv Walia

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

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< Height of Half Cylinder Calculators

Height of Half Cylinder given Total Surface Area

LaTeX Go Height of Half Cylinder = (Total Surface Area of Half Cylinder-pi*Radius of Half Cylinder^2)/(Radius of Half Cylinder*(pi+2))

Height of Half Cylinder given Curved Surface Area

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

Height of Half Cylinder given Space Diagonal

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

Height of Half Cylinder given Volume

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

Height of Half Cylinder given Surface to Volume Ratio Formula

LaTeX Go

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

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 Height of Half Cylinder given Surface to Volume Ratio?

Height of Half Cylinder given Surface to Volume Ratio calculator uses Height of Half Cylinder = (pi*Radius of Half Cylinder)/((pi*Radius of Half Cylinder*Surface to Volume Ratio of Half Cylinder)/2-pi-2) to calculate the Height of Half Cylinder, The Height of Half Cylinder given Surface to Volume Ratio formula is defined as the perpendicular distance between the top and bottom faces of Half Cylinder, calculated using the surface to volume ratio of Half Cylinder. Height of Half Cylinder is denoted by h symbol.

How to calculate Height of Half Cylinder given Surface to Volume Ratio using this online calculator? To use this online calculator for Height of Half Cylinder given Surface to Volume Ratio, enter Radius of Half Cylinder (r) & Surface to Volume Ratio of Half Cylinder (R_A/V) and hit the calculate button. Here is how the Height of Half Cylinder given Surface to Volume Ratio calculation can be explained with given input values -> 11.58238 = (pi*10)/((pi*10*0.5)/2-pi-2).

FAQ

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

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

The Height of Half Cylinder given Surface to Volume Ratio formula is defined as the perpendicular distance between the top and bottom faces of Half Cylinder, calculated using the surface to volume ratio of Half Cylinder is calculated using Height of Half Cylinder = (pi*Radius of Half Cylinder)/((pi*Radius of Half Cylinder*Surface to Volume Ratio of Half Cylinder)/2-pi-2). To calculate Height of Half Cylinder given Surface to Volume Ratio, you need Radius of Half Cylinder (r) & Surface to Volume Ratio of Half Cylinder (R_A/V). With our tool, you need to enter the respective value for Radius 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 Height of Half Cylinder?

In this formula, Height of Half Cylinder uses Radius 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 -

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

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