Height of Diagonally Halved Cylinder given Space Diagonal Calculator

✖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 [d_Space]			+10% -10%
✖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%

✖Height of Diagonally Halved Cylinder is the vertical distance from the base circular face to the top most point of the Diagonally Halved Cylinder.ⓘ Height of Diagonally Halved Cylinder given Space Diagonal [h]

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Height of Diagonally Halved Cylinder given Space Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Diagonally Halved Cylinder = sqrt(Space Diagonal of Diagonally Halved Cylinder^2-(4*Radius of Diagonally Halved Cylinder^2))
h = sqrt(d_Space^2-(4*r^2))
This formula uses 1 Functions, 3 Variables

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

Height of Diagonally Halved Cylinder - (Measured in Meter) - Height of Diagonally Halved Cylinder is the vertical distance from the base circular face to the top most point of the Diagonally Halved Cylinder.
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.

STEP 1: Convert Input(s) to Base Unit

Space Diagonal of Diagonally Halved Cylinder: 11 Meter --> 11 Meter No Conversion Required
Radius of Diagonally Halved Cylinder: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(d_Space^2-(4*r^2)) --> sqrt(11^2-(4*4^2))

Evaluating ... ...

h = 7.54983443527075

STEP 3: Convert Result to Output's Unit

7.54983443527075 Meter --> No Conversion Required

FINAL ANSWER

7.54983443527075 ≈ 7.549834 Meter <-- Height of Diagonally Halved Cylinder

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Height of Diagonally Halved Cylinder Calculators

Height of Diagonally Halved Cylinder given Total Surface Area

LaTeX Go Height of Diagonally Halved Cylinder = Total Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder)-Radius of Diagonally Halved Cylinder-Space Diagonal of Diagonally Halved Cylinder/2

Height of Diagonally Halved Cylinder given Space Diagonal

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

Height of Diagonally Halved Cylinder given Lateral Surface Area

LaTeX Go Height of Diagonally Halved Cylinder = Lateral Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder)

Height of Diagonally Halved Cylinder given Volume

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

Height of Diagonally Halved Cylinder given Space Diagonal Formula

LaTeX Go

Height of Diagonally Halved Cylinder = sqrt(Space Diagonal of Diagonally Halved Cylinder^2-(4*Radius of Diagonally Halved Cylinder^2))
h = sqrt(d_Space^2-(4*r^2))

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 Height of Diagonally Halved Cylinder given Space Diagonal?

Height of Diagonally Halved Cylinder given Space Diagonal calculator uses Height of Diagonally Halved Cylinder = sqrt(Space Diagonal of Diagonally Halved Cylinder^2-(4*Radius of Diagonally Halved Cylinder^2)) to calculate the Height of Diagonally Halved Cylinder, Height of Diagonally Halved Cylinder given Space Diagonal formula is defined as the vertical distance from the base circular face to the top most point of the Diagonally Halved Cylinder, and calculated using the space diagonal of the Diagonally Halved Cylinder. Height of Diagonally Halved Cylinder is denoted by h symbol.

How to calculate Height of Diagonally Halved Cylinder given Space Diagonal using this online calculator? To use this online calculator for Height of Diagonally Halved Cylinder given Space Diagonal, enter Space Diagonal of Diagonally Halved Cylinder (d_Space) & Radius of Diagonally Halved Cylinder (r) and hit the calculate button. Here is how the Height of Diagonally Halved Cylinder given Space Diagonal calculation can be explained with given input values -> 7.549834 = sqrt(11^2-(4*4^2)).

FAQ

What is Height of Diagonally Halved Cylinder given Space Diagonal?

Height of Diagonally Halved Cylinder given Space Diagonal formula is defined as the vertical distance from the base circular face to the top most point of the Diagonally Halved Cylinder, and calculated using the space diagonal of the Diagonally Halved Cylinder and is represented as h = sqrt(d_Space^2-(4*r^2)) or Height of Diagonally Halved Cylinder = sqrt(Space Diagonal of Diagonally Halved Cylinder^2-(4*Radius of Diagonally Halved Cylinder^2)). 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 is the distance between the center and any point on the circumference of the base circular face of the Diagonally Halved Cylinder.

How to calculate Height of Diagonally Halved Cylinder given Space Diagonal?

Height of Diagonally Halved Cylinder given Space Diagonal formula is defined as the vertical distance from the base circular face to the top most point of the Diagonally Halved Cylinder, and calculated using the space diagonal of the Diagonally Halved Cylinder is calculated using Height of Diagonally Halved Cylinder = sqrt(Space Diagonal of Diagonally Halved Cylinder^2-(4*Radius of Diagonally Halved Cylinder^2)). To calculate Height of Diagonally Halved Cylinder given Space Diagonal, you need Space Diagonal of Diagonally Halved Cylinder (d_Space) & Radius of Diagonally Halved Cylinder (r). With our tool, you need to enter the respective value for Space Diagonal of Diagonally Halved Cylinder & Radius 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 Height of Diagonally Halved Cylinder?

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

Height of Diagonally Halved Cylinder = Lateral Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder)
Height of Diagonally Halved Cylinder = (2*Volume of Diagonally Halved Cylinder)/(pi*Radius of Diagonally Halved Cylinder^2)
Height of Diagonally Halved Cylinder = Total Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder)-Radius of Diagonally Halved Cylinder-Space Diagonal of Diagonally Halved Cylinder/2

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