Radius 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%
✖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 [h]			+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 given Space Diagonal [r]

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Radius of Diagonally Halved Cylinder given Space Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Space Diagonal of Diagonally Halved Cylinder: 11 Meter --> 11 Meter No Conversion Required
Height of Diagonally Halved Cylinder: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = sqrt((d_Space^2-h^2)/4) --> sqrt((11^2-8^2)/4)

Evaluating ... ...

r = 3.77491721763537

STEP 3: Convert Result to Output's Unit

3.77491721763537 Meter --> No Conversion Required

FINAL ANSWER

3.77491721763537 ≈ 3.774917 Meter <-- Radius of Diagonally Halved Cylinder

(Calculation completed in 00.004 seconds)

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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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< Radius of Diagonally Halved Cylinder Calculators

Radius of Diagonally Halved Cylinder given Volume

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

Radius of Diagonally Halved Cylinder given Space Diagonal

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

Radius of Diagonally Halved Cylinder given Lateral Surface Area

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

Radius of Diagonally Halved Cylinder given Space Diagonal Formula

LaTeX Go

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

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 Radius of Diagonally Halved Cylinder given Space Diagonal?

Radius of Diagonally Halved Cylinder given Space Diagonal calculator uses Radius of Diagonally Halved Cylinder = sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4) to calculate the Radius of Diagonally Halved Cylinder, Radius of Diagonally Halved Cylinder given Space Diagonal formula is defined as the distance between the center and any point on the circumference of the base circular face of the Diagonally Halved Cylinder, and calculated using the space diagonal of the Diagonally Halved Cylinder. Radius of Diagonally Halved Cylinder is denoted by r symbol.

How to calculate Radius of Diagonally Halved Cylinder given Space Diagonal using this online calculator? To use this online calculator for Radius of Diagonally Halved Cylinder given Space Diagonal, enter Space Diagonal of Diagonally Halved Cylinder (d_Space) & Height of Diagonally Halved Cylinder (h) and hit the calculate button. Here is how the Radius of Diagonally Halved Cylinder given Space Diagonal calculation can be explained with given input values -> 3.774917 = sqrt((11^2-8^2)/4).

FAQ

What is Radius of Diagonally Halved Cylinder given Space Diagonal?

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

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

Radius of Diagonally Halved Cylinder given Space Diagonal formula is defined as the distance between the center and any point on the circumference of the base circular face of the Diagonally Halved Cylinder, and calculated using the space diagonal of the Diagonally Halved Cylinder is calculated using Radius of Diagonally Halved Cylinder = sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4). To calculate Radius of Diagonally Halved Cylinder given Space Diagonal, you need Space Diagonal of Diagonally Halved Cylinder (d_Space) & Height of Diagonally Halved Cylinder (h). With our tool, you need to enter the respective value for Space Diagonal of Diagonally Halved Cylinder & Height 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 Radius of Diagonally Halved Cylinder?

In this formula, Radius of Diagonally Halved Cylinder uses Space Diagonal of Diagonally Halved Cylinder & Height of Diagonally Halved Cylinder. We can use 2 other way(s) to calculate the same, which is/are as follows -

Radius of Diagonally Halved Cylinder = Lateral Surface Area of Diagonally Halved Cylinder/(pi*Height of Diagonally Halved Cylinder)
Radius of Diagonally Halved Cylinder = sqrt((2*Volume of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))

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