Height of Half Cylinder given Total Surface Area Calculator

✖Total Surface Area of Half Cylinder is defined as the measure of the total amount of 2d space enclosed by all the faces of the Half Cylinder.ⓘ Total Surface Area of Half Cylinder [TSA]			+10% -10%
✖Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder.ⓘ Radius of Half Cylinder [r]			+10% -10%

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

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Height of Half Cylinder given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Half Cylinder = (Total Surface Area of Half Cylinder-pi*Radius of Half Cylinder^2)/(Radius of Half Cylinder*(pi+2))
h = (TSA-pi*r^2)/(r*(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.
Total Surface Area of Half Cylinder - (Measured in Square Meter) - Total Surface Area of Half Cylinder is defined as the measure of the total amount of 2d space enclosed by all the faces of the Half Cylinder.
Radius of Half Cylinder - (Measured in Meter) - Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Half Cylinder: 930 Square Meter --> 930 Square Meter No Conversion Required
Radius of Half Cylinder: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (TSA-pi*r^2)/(r*(pi+2)) --> (930-pi*10^2)/(10*(pi+2))

Evaluating ... ...

h = 11.9776259251314

STEP 3: Convert Result to Output's Unit

11.9776259251314 Meter --> No Conversion Required

FINAL ANSWER

11.9776259251314 ≈ 11.97763 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

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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 Total Surface Area Formula

LaTeX Go

Height of Half Cylinder = (Total Surface Area of Half Cylinder-pi*Radius of Half Cylinder^2)/(Radius of Half Cylinder*(pi+2))
h = (TSA-pi*r^2)/(r*(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 Total Surface Area?

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

How to calculate Height of Half Cylinder given Total Surface Area using this online calculator? To use this online calculator for Height of Half Cylinder given Total Surface Area, enter Total Surface Area of Half Cylinder (TSA) & Radius of Half Cylinder (r) and hit the calculate button. Here is how the Height of Half Cylinder given Total Surface Area calculation can be explained with given input values -> 11.97763 = (930-pi*10^2)/(10*(pi+2)).

FAQ

What is Height of Half Cylinder given Total Surface Area?

The Height of Half Cylinder given Total Surface Area formula is defined as the perpendicular distance between the top and bottom faces of Half Cylinder, calculated using the total surface area of Half Cylinder and is represented as h = (TSA-pi*r^2)/(r*(pi+2)) or Height of Half Cylinder = (Total Surface Area of Half Cylinder-pi*Radius of Half Cylinder^2)/(Radius of Half Cylinder*(pi+2)). Total Surface Area of Half Cylinder is defined as the measure of the total amount of 2d space enclosed by all the faces of the Half Cylinder & Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder.

How to calculate Height of Half Cylinder given Total Surface Area?

The Height of Half Cylinder given Total Surface Area formula is defined as the perpendicular distance between the top and bottom faces of Half Cylinder, calculated using the total surface area of Half Cylinder is calculated using Height of Half Cylinder = (Total Surface Area of Half Cylinder-pi*Radius of Half Cylinder^2)/(Radius of Half Cylinder*(pi+2)). To calculate Height of Half Cylinder given Total Surface Area, you need Total Surface Area of Half Cylinder (TSA) & Radius of Half Cylinder (r). With our tool, you need to enter the respective value for Total Surface Area of Half Cylinder & Radius 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 Total Surface Area of Half Cylinder & Radius 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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