Radius of Half Cylinder given Space Diagonal Calculator

✖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 [d_Space]			+10% -10%
✖Height of Half Cylinder is the perpendicular distance between the top and bottom faces of Half Cylinder.ⓘ Height of Half Cylinder [h]			+10% -10%

✖Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder.ⓘ Radius of Half Cylinder given Space Diagonal [r]

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Radius of Half Cylinder given Space Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Half Cylinder = sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2)
r = sqrt(d_Space^2-h^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

Radius of Half Cylinder - (Measured in Meter) - Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder.
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.

STEP 1: Convert Input(s) to Base Unit

Space Diagonal of Half Cylinder: 15 Meter --> 15 Meter No Conversion Required
Height of Half Cylinder: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = sqrt(d_Space^2-h^2) --> sqrt(15^2-12^2)

Evaluating ... ...

r = 9

STEP 3: Convert Result to Output's Unit

9 Meter --> No Conversion Required

FINAL ANSWER

9 Meter <-- Radius of Half 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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St Joseph's College (SJC), Bengaluru

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< Radius of Half Cylinder Calculators

Radius of Half Cylinder given Volume

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

Radius of Half Cylinder given Curved Surface Area

LaTeX Go Radius of Half Cylinder = Curved Surface Area of Half Cylinder/(pi*Height of Half Cylinder)

Radius of Half Cylinder given Space Diagonal

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

Radius of Half Cylinder given Base Area

LaTeX Go Radius of Half Cylinder = sqrt((2*Base Area of Half Cylinder)/pi)

< Radius of Half Cylinder Calculators

Radius of Half Cylinder given Curved Surface Area

LaTeX Go Radius of Half Cylinder = Curved Surface Area of Half Cylinder/(pi*Height of Half Cylinder)

Radius of Half Cylinder given Space Diagonal

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

Radius of Half Cylinder given Base Area

LaTeX Go Radius of Half Cylinder = sqrt((2*Base Area of Half Cylinder)/pi)

Radius of Half Cylinder given Space Diagonal Formula

LaTeX Go

Radius of Half Cylinder = sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2)
r = sqrt(d_Space^2-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 Radius of Half Cylinder given Space Diagonal?

Radius of Half Cylinder given Space Diagonal calculator uses Radius of Half Cylinder = sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2) to calculate the Radius of Half Cylinder, The Radius of Half Cylinder given Space Diagonal formula is defined as the radius of the semicircular surface of the Half Cylinder, calculated using its space diagonal. Radius of Half Cylinder is denoted by r symbol.

How to calculate Radius of Half Cylinder given Space Diagonal using this online calculator? To use this online calculator for Radius of Half Cylinder given Space Diagonal, enter Space Diagonal of Half Cylinder (d_Space) & Height of Half Cylinder (h) and hit the calculate button. Here is how the Radius of Half Cylinder given Space Diagonal calculation can be explained with given input values -> 9 = sqrt(15^2-12^2).

FAQ

What is Radius of Half Cylinder given Space Diagonal?

The Radius of Half Cylinder given Space Diagonal formula is defined as the radius of the semicircular surface of the Half Cylinder, calculated using its space diagonal and is represented as r = sqrt(d_Space^2-h^2) or Radius of Half Cylinder = sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2). 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 is the perpendicular distance between the top and bottom faces of Half Cylinder.

How to calculate Radius of Half Cylinder given Space Diagonal?

The Radius of Half Cylinder given Space Diagonal formula is defined as the radius of the semicircular surface of the Half Cylinder, calculated using its space diagonal is calculated using Radius of Half Cylinder = sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2). To calculate Radius of Half Cylinder given Space Diagonal, you need Space Diagonal of Half Cylinder (d_Space) & Height of Half Cylinder (h). With our tool, you need to enter the respective value for Space Diagonal of Half Cylinder & Height 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 Radius of Half Cylinder?

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

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

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