Space Diagonal of Half Cylinder given Total Surface Area and Radius 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%

✖Space Diagonal of Half Cylinder is a line connecting two vertices that are not on the same face of Half Cylinder.ⓘ Space Diagonal of Half Cylinder given Total Surface Area and Radius [d_Space]

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Formula

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Space Diagonal of Half Cylinder given Total Surface Area and Radius

Formula

`"d"_{"Space"} = sqrt((("TSA"-(pi*"r"^2))/("r"*(pi+2)))^2+"r"^2)`

Example

`"15.60332m"=sqrt((("930m²"-(pi*("10m")^2))/("10m"*(pi+2)))^2+("10m")^2)`

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Space Diagonal of Half Cylinder given Total Surface Area and Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Space Diagonal of Half Cylinder = sqrt(((Total Surface Area of Half Cylinder-(pi*Radius of Half Cylinder^2))/(Radius of Half Cylinder*(pi+2)))^2+Radius of Half Cylinder^2)
d_Space = sqrt(((TSA-(pi*r^2))/(r*(pi+2)))^2+r^2)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Space Diagonal of Half Cylinder - (Measured in Meter) - Space Diagonal of Half Cylinder is a line connecting two vertices that are not on the same face 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

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

Evaluating ... ...

d_Space = 15.6033176857481

STEP 3: Convert Result to Output's Unit

15.6033176857481 Meter --> No Conversion Required

FINAL ANSWER

15.6033176857481 ≈ 15.60332 Meter <-- Space Diagonal of Half Cylinder

(Calculation completed in 00.004 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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< 7 Space Diagonal of Half Cylinder Calculators

Space Diagonal of Half Cylinder given Total Surface Area and Radius

Go Space Diagonal of Half Cylinder = sqrt(((Total Surface Area of Half Cylinder-(pi*Radius of Half Cylinder^2))/(Radius of Half Cylinder*(pi+2)))^2+Radius of Half Cylinder^2)

Space Diagonal of Half Cylinder given Curved Surface Area and Radius

Go Space Diagonal of Half Cylinder = sqrt((Curved Surface Area of Half Cylinder/(pi*Radius of Half Cylinder))^2+Radius of Half Cylinder^2)

Space Diagonal of Half Cylinder given Curved Surface Area and Height

Go Space Diagonal of Half Cylinder = sqrt(Height of Half Cylinder^2+(Curved Surface Area of Half Cylinder/(pi*Height of Half Cylinder))^2)

Space Diagonal of Half Cylinder given Volume and Radius

Go Space Diagonal of Half Cylinder = sqrt(((2*Volume of Half Cylinder)/(pi*Radius of Half Cylinder^2))^2+Radius of Half Cylinder^2)

Space Diagonal of Half Cylinder given Volume and Height

Go Space Diagonal of Half Cylinder = sqrt(Height of Half Cylinder^2+((2*Volume of Half Cylinder)/(pi*Height of Half Cylinder)))

Space Diagonal of Half Cylinder given Base Area and Height

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

Space Diagonal of Half Cylinder

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

Space Diagonal of Half Cylinder given Total Surface Area and Radius Formula

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 Space Diagonal of Half Cylinder given Total Surface Area and Radius?

Space Diagonal of Half Cylinder given Total Surface Area and Radius calculator uses Space Diagonal of Half Cylinder = sqrt(((Total Surface Area of Half Cylinder-(pi*Radius of Half Cylinder^2))/(Radius of Half Cylinder*(pi+2)))^2+Radius of Half Cylinder^2) to calculate the Space Diagonal of Half Cylinder, The Space Diagonal of Half Cylinder given Total Surface Area and Radius formula is defined as the line connecting two vertices that are not on the same face of the Half Cylinder, calculated using total surface area and radius of Half Cylinder. Space Diagonal of Half Cylinder is denoted by d_Space symbol.

How to calculate Space Diagonal of Half Cylinder given Total Surface Area and Radius using this online calculator? To use this online calculator for Space Diagonal of Half Cylinder given Total Surface Area and Radius, enter Total Surface Area of Half Cylinder (TSA) & Radius of Half Cylinder (r) and hit the calculate button. Here is how the Space Diagonal of Half Cylinder given Total Surface Area and Radius calculation can be explained with given input values -> 15.60332 = sqrt(((930-(pi*10^2))/(10*(pi+2)))^2+10^2).

FAQ

What is Space Diagonal of Half Cylinder given Total Surface Area and Radius?

The Space Diagonal of Half Cylinder given Total Surface Area and Radius formula is defined as the line connecting two vertices that are not on the same face of the Half Cylinder, calculated using total surface area and radius of Half Cylinder and is represented as d_Space = sqrt(((TSA-(pi*r^2))/(r*(pi+2)))^2+r^2) or Space Diagonal of Half Cylinder = sqrt(((Total Surface Area of Half Cylinder-(pi*Radius of Half Cylinder^2))/(Radius of Half Cylinder*(pi+2)))^2+Radius of Half Cylinder^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 Space Diagonal of Half Cylinder given Total Surface Area and Radius?

The Space Diagonal of Half Cylinder given Total Surface Area and Radius formula is defined as the line connecting two vertices that are not on the same face of the Half Cylinder, calculated using total surface area and radius of Half Cylinder is calculated using Space Diagonal of Half Cylinder = sqrt(((Total Surface Area of Half Cylinder-(pi*Radius of Half Cylinder^2))/(Radius of Half Cylinder*(pi+2)))^2+Radius of Half Cylinder^2). To calculate Space Diagonal of Half Cylinder given Total Surface Area and Radius, 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 Space Diagonal of Half Cylinder?

In this formula, Space Diagonal of Half Cylinder uses Total Surface Area of Half Cylinder & Radius of Half Cylinder. We can use 6 other way(s) to calculate the same, which is/are as follows -

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

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