Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Radius Calculator

✖Radius of Diagonally Halved Cylinder is the distance between the center and any point on the circumference of the base circular face of the Diagonally Halved Cylinder.ⓘ Radius of Diagonally Halved Cylinder [r]			+10% -10%
✖The Lateral Surface Area of Diagonally Halved Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Diagonally Halved Cylinder.ⓘ Lateral Surface Area of Diagonally Halved Cylinder [LSA]			+10% -10%

✖Space Diagonal of Diagonally Halved Cylinder is the length of the major axis or the longest chord of the upper elliptical face of the Diagonally Halved Cylinder.ⓘ Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Radius [d_Space]

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Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Space Diagonal of Diagonally Halved Cylinder = sqrt((4*Radius of Diagonally Halved Cylinder^2)+(Lateral Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder))^2)
d_Space = sqrt((4*r^2)+(LSA/(pi*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 Diagonally Halved Cylinder - (Measured in Meter) - Space Diagonal of Diagonally Halved Cylinder is the length of the major axis or the longest chord of the upper elliptical face of the Diagonally Halved Cylinder.
Radius of Diagonally Halved Cylinder - (Measured in Meter) - Radius of Diagonally Halved Cylinder is the distance between the center and any point on the circumference of the base circular face of the Diagonally Halved Cylinder.
Lateral Surface Area of Diagonally Halved Cylinder - (Measured in Square Meter) - The Lateral Surface Area of Diagonally Halved Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Diagonally Halved Cylinder.

STEP 1: Convert Input(s) to Base Unit

Radius of Diagonally Halved Cylinder: 4 Meter --> 4 Meter No Conversion Required
Lateral Surface Area of Diagonally Halved Cylinder: 100 Square Meter --> 100 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Space = sqrt((4*r^2)+(LSA/(pi*r))^2) --> sqrt((4*4^2)+(100/(pi*4))^2)

Evaluating ... ...

d_Space = 11.2838707798548

STEP 3: Convert Result to Output's Unit

11.2838707798548 Meter --> No Conversion Required

FINAL ANSWER

11.2838707798548 ≈ 11.28387 Meter <-- Space Diagonal of Diagonally Halved Cylinder

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< Space Diagonal of Diagonally Halved Cylinder Calculators

Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Height

LaTeX Go Space Diagonal of Diagonally Halved Cylinder = sqrt(Height of Diagonally Halved Cylinder^2+((2*Lateral Surface Area of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))^2)

Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Radius

LaTeX Go Space Diagonal of Diagonally Halved Cylinder = sqrt((4*Radius of Diagonally Halved Cylinder^2)+(Lateral Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder))^2)

Space Diagonal of Diagonally Halved Cylinder given Volume and Height

LaTeX Go Space Diagonal of Diagonally Halved Cylinder = sqrt(Height of Diagonally Halved Cylinder^2+(8*Volume of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))

Space Diagonal of Diagonally Halved Cylinder

LaTeX Go Space Diagonal of Diagonally Halved Cylinder = sqrt(Height of Diagonally Halved Cylinder^2+(4*Radius of Diagonally Halved Cylinder^2))

Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Radius Formula

LaTeX Go

What is a Diagonally Halved Cylinder?

Diagonally Halved Cylinder is the shape obtained by cutting a right circular cylinder of finite height, diagonally from upper circular face to lower circular face, passing through the center of the cylinder. The planar shape formed at the plane of cutting will be an ellipse with major axis equal to the diagonal length.

How to Calculate Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Radius?

Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Radius calculator uses Space Diagonal of Diagonally Halved Cylinder = sqrt((4*Radius of Diagonally Halved Cylinder^2)+(Lateral Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder))^2) to calculate the Space Diagonal of Diagonally Halved Cylinder, Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Radius formula is defined as the length of the major axis or the longest chord of the upper elliptical face of the Diagonally Halved Cylinder, and calculated using the lateral surface area and radius of the Diagonally Halved Cylinder. Space Diagonal of Diagonally Halved Cylinder is denoted by d_Space symbol.

How to calculate Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Radius using this online calculator? To use this online calculator for Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Radius, enter Radius of Diagonally Halved Cylinder (r) & Lateral Surface Area of Diagonally Halved Cylinder (LSA) and hit the calculate button. Here is how the Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Radius calculation can be explained with given input values -> 11.28387 = sqrt((4*4^2)+(100/(pi*4))^2).

FAQ

What is Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Radius?

Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Radius formula is defined as the length of the major axis or the longest chord of the upper elliptical face of the Diagonally Halved Cylinder, and calculated using the lateral surface area and radius of the Diagonally Halved Cylinder and is represented as d_Space = sqrt((4*r^2)+(LSA/(pi*r))^2) or Space Diagonal of Diagonally Halved Cylinder = sqrt((4*Radius of Diagonally Halved Cylinder^2)+(Lateral Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder))^2). Radius of Diagonally Halved Cylinder is the distance between the center and any point on the circumference of the base circular face of the Diagonally Halved Cylinder & The Lateral Surface Area of Diagonally Halved Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Diagonally Halved Cylinder.

How to calculate Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Radius?

Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Radius formula is defined as the length of the major axis or the longest chord of the upper elliptical face of the Diagonally Halved Cylinder, and calculated using the lateral surface area and radius of the Diagonally Halved Cylinder is calculated using Space Diagonal of Diagonally Halved Cylinder = sqrt((4*Radius of Diagonally Halved Cylinder^2)+(Lateral Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder))^2). To calculate Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Radius, you need Radius of Diagonally Halved Cylinder (r) & Lateral Surface Area of Diagonally Halved Cylinder (LSA). With our tool, you need to enter the respective value for Radius of Diagonally Halved Cylinder & Lateral Surface Area of Diagonally Halved 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 Diagonally Halved Cylinder?

In this formula, Space Diagonal of Diagonally Halved Cylinder uses Radius of Diagonally Halved Cylinder & Lateral Surface Area of Diagonally Halved Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -

Space Diagonal of Diagonally Halved Cylinder = sqrt(Height of Diagonally Halved Cylinder^2+((2*Lateral Surface Area of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))^2)
Space Diagonal of Diagonally Halved Cylinder = sqrt(Height of Diagonally Halved Cylinder^2+(4*Radius of Diagonally Halved Cylinder^2))
Space Diagonal of Diagonally Halved Cylinder = sqrt(Height of Diagonally Halved Cylinder^2+(8*Volume of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))

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