Space Diagonal of Half Cylinder given Curved Surface Area and Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Space Diagonal of Half Cylinder = sqrt(Height of Half Cylinder^2+(Curved Surface Area of Half Cylinder/(pi*Height of Half Cylinder))^2)
dSpace = sqrt(h^2+(CSA/(pi*h))^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.
Height of Half Cylinder - (Measured in Meter) - Height of Half Cylinder is the perpendicular distance between the top and bottom faces of Half Cylinder.
Curved Surface Area of Half Cylinder - (Measured in Square Meter) - The Curved Surface Area of Half Cylinder is defined as the area of the curved surface of Half Cylinder, leaving the flat surfaces.
STEP 1: Convert Input(s) to Base Unit
Height of Half Cylinder: 12 Meter --> 12 Meter No Conversion Required
Curved Surface Area of Half Cylinder: 375 Square Meter --> 375 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dSpace = sqrt(h^2+(CSA/(pi*h))^2) --> sqrt(12^2+(375/(pi*12))^2)
Evaluating ... ...
dSpace = 15.5867401466991
STEP 3: Convert Result to Output's Unit
15.5867401466991 Meter --> No Conversion Required
FINAL ANSWER
15.5867401466991 15.58674 Meter <-- Space Diagonal of Half Cylinder
(Calculation completed in 00.020 seconds)

Credits

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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St Joseph's College (SJC), Bengaluru
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Space Diagonal of Half Cylinder Calculators

Space Diagonal of Half Cylinder given Curved Surface Area and Radius
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Space Diagonal of Half Cylinder = sqrt(Height of Half Cylinder^2+Radius of Half Cylinder^2)

Space Diagonal of Half Cylinder Calculators

Space Diagonal of Half Cylinder given Curved Surface Area and Height
​ LaTeX ​ 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 Height
​ LaTeX ​ 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
​ LaTeX ​ Go Space Diagonal of Half Cylinder = sqrt(Height of Half Cylinder^2+Radius of Half Cylinder^2)

Space Diagonal of Half Cylinder given Curved Surface Area and Height Formula

​LaTeX ​Go
Space Diagonal of Half Cylinder = sqrt(Height of Half Cylinder^2+(Curved Surface Area of Half Cylinder/(pi*Height of Half Cylinder))^2)
dSpace = sqrt(h^2+(CSA/(pi*h))^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 Space Diagonal of Half Cylinder given Curved Surface Area and Height?

Space Diagonal of Half Cylinder given Curved Surface Area and Height calculator uses Space Diagonal of Half Cylinder = sqrt(Height of Half Cylinder^2+(Curved Surface Area of Half Cylinder/(pi*Height of Half Cylinder))^2) to calculate the Space Diagonal of Half Cylinder, Space Diagonal of Half Cylinder given Curved Surface Area and Height formula is defined as the line connecting two vertices that are not on the same face of the Half cylinder, calculated using its curved surface area and height. Space Diagonal of Half Cylinder is denoted by dSpace symbol.

How to calculate Space Diagonal of Half Cylinder given Curved Surface Area and Height using this online calculator? To use this online calculator for Space Diagonal of Half Cylinder given Curved Surface Area and Height, enter Height of Half Cylinder (h) & Curved Surface Area of Half Cylinder (CSA) and hit the calculate button. Here is how the Space Diagonal of Half Cylinder given Curved Surface Area and Height calculation can be explained with given input values -> 15.58674 = sqrt(12^2+(375/(pi*12))^2).

FAQ

What is Space Diagonal of Half Cylinder given Curved Surface Area and Height?
Space Diagonal of Half Cylinder given Curved Surface Area and Height formula is defined as the line connecting two vertices that are not on the same face of the Half cylinder, calculated using its curved surface area and height and is represented as dSpace = sqrt(h^2+(CSA/(pi*h))^2) or Space Diagonal of Half Cylinder = sqrt(Height of Half Cylinder^2+(Curved Surface Area of Half Cylinder/(pi*Height of Half Cylinder))^2). Height of Half Cylinder is the perpendicular distance between the top and bottom faces of Half Cylinder & The Curved Surface Area of Half Cylinder is defined as the area of the curved surface of Half Cylinder, leaving the flat surfaces.
How to calculate Space Diagonal of Half Cylinder given Curved Surface Area and Height?
Space Diagonal of Half Cylinder given Curved Surface Area and Height formula is defined as the line connecting two vertices that are not on the same face of the Half cylinder, calculated using its curved surface area and height is calculated using Space Diagonal of Half Cylinder = sqrt(Height of Half Cylinder^2+(Curved Surface Area of Half Cylinder/(pi*Height of Half Cylinder))^2). To calculate Space Diagonal of Half Cylinder given Curved Surface Area and Height, you need Height of Half Cylinder (h) & Curved Surface Area of Half Cylinder (CSA). With our tool, you need to enter the respective value for Height of Half Cylinder & Curved Surface Area 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 Height of Half Cylinder & Curved Surface Area of Half Cylinder. We can use 3 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)
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