Volume of Half Cylinder given Space Diagonal and Radius Calculator

✖Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder.ⓘ Radius of Half Cylinder [r]			+10% -10%
✖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%

✖Volume of Half Cylinders is the amount of 3-dimensional space enclosed by the surface of Half Cylinder.ⓘ Volume of Half Cylinder given Space Diagonal and Radius [V]

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Formula

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Volume of Half Cylinder given Space Diagonal and Radius

Formula

`"V" = 1/2*pi*"r"^2*sqrt("d"_{"Space"}^2-"r"^2)`

Example

`"1756.204m³"=1/2*pi*("10m")^2*sqrt(("15m")^2-("10m")^2)`

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Volume of Half Cylinder given Space Diagonal and Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder^2*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)
V = 1/2*pi*r^2*sqrt(d_Space^2-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

Volume of Half Cylinder - (Measured in Cubic Meter) - Volume of Half Cylinders is the amount of 3-dimensional space enclosed by the surface of Half Cylinder.
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.

STEP 1: Convert Input(s) to Base Unit

Radius of Half Cylinder: 10 Meter --> 10 Meter No Conversion Required
Space Diagonal of Half Cylinder: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 1/2*pi*r^2*sqrt(d_Space^2-r^2) --> 1/2*pi*10^2*sqrt(15^2-10^2)

Evaluating ... ...

V = 1756.20368276018

STEP 3: Convert Result to Output's Unit

1756.20368276018 Cubic Meter --> No Conversion Required

FINAL ANSWER

1756.20368276018 ≈ 1756.204 Cubic Meter <-- Volume of Half Cylinder

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

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< 7 Volume of Half Cylinder Calculators

Volume of Half Cylinder given Total Surface Area and Radius

Go Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder*((Total Surface Area of Half Cylinder-(pi*Radius of Half Cylinder^2))/(pi+2))

Volume of Half Cylinder given Space Diagonal and Radius

Go Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder^2*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)

Volume of Half Cylinder given Space Diagonal and Height

Go Volume of Half Cylinder = 1/2*pi*Height of Half Cylinder*(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2)

Volume of Half Cylinder given Curved Surface Area and Height

Go Volume of Half Cylinder = 1/2*Curved Surface Area of Half Cylinder^2/(pi*Height of Half Cylinder)

Volume of Half Cylinder

Go Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder^2*Height of Half Cylinder

Volume of Half Cylinder given Curved Surface Area and Radius

Go Volume of Half Cylinder = 1/2*Radius of Half Cylinder*Curved Surface Area of Half Cylinder

Volume of Half Cylinder given Base Area

Go Volume of Half Cylinder = Base Area of Half Cylinder*Height of Half Cylinder

< 3 Volume of Half Cylinder Calculators

Volume of Half Cylinder given Space Diagonal and Radius

Go Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder^2*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)

Volume of Half Cylinder given Curved Surface Area and Height

Go Volume of Half Cylinder = 1/2*Curved Surface Area of Half Cylinder^2/(pi*Height of Half Cylinder)

Volume of Half Cylinder

Go Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder^2*Height of Half Cylinder

Volume of Half Cylinder given Space Diagonal and Radius Formula

Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder^2*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)
V = 1/2*pi*r^2*sqrt(d_Space^2-r^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 Volume of Half Cylinder given Space Diagonal and Radius?

Volume of Half Cylinder given Space Diagonal and Radius calculator uses Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder^2*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2) to calculate the Volume of Half Cylinder, Volume of Half Cylinder given Space diagonal and Radius formula is defined as the amount of 3-dimensional space enclosed by the surface of Half Cylinder, calculated using its space diagonal and radius. Volume of Half Cylinder is denoted by V symbol.

How to calculate Volume of Half Cylinder given Space Diagonal and Radius using this online calculator? To use this online calculator for Volume of Half Cylinder given Space Diagonal and Radius, enter Radius of Half Cylinder (r) & Space Diagonal of Half Cylinder (d_Space) and hit the calculate button. Here is how the Volume of Half Cylinder given Space Diagonal and Radius calculation can be explained with given input values -> 1756.204 = 1/2*pi*10^2*sqrt(15^2-10^2).

FAQ

What is Volume of Half Cylinder given Space Diagonal and Radius?

Volume of Half Cylinder given Space diagonal and Radius formula is defined as the amount of 3-dimensional space enclosed by the surface of Half Cylinder, calculated using its space diagonal and radius and is represented as V = 1/2*pi*r^2*sqrt(d_Space^2-r^2) or Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder^2*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2). Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder & Space Diagonal of Half Cylinder is a line connecting two vertices that are not on the same face of Half Cylinder.

How to calculate Volume of Half Cylinder given Space Diagonal and Radius?

Volume of Half Cylinder given Space diagonal and Radius formula is defined as the amount of 3-dimensional space enclosed by the surface of Half Cylinder, calculated using its space diagonal and radius is calculated using Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder^2*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2). To calculate Volume of Half Cylinder given Space Diagonal and Radius, you need Radius of Half Cylinder (r) & Space Diagonal of Half Cylinder (d_Space). With our tool, you need to enter the respective value for Radius of Half Cylinder & Space Diagonal 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 Volume of Half Cylinder?

In this formula, Volume of Half Cylinder uses Radius of Half Cylinder & Space Diagonal of Half Cylinder. We can use 8 other way(s) to calculate the same, which is/are as follows -

Volume of Half Cylinder = 1/2*pi*Height of Half Cylinder*(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2)
Volume of Half Cylinder = 1/2*Curved Surface Area of Half Cylinder^2/(pi*Height of Half Cylinder)
Volume of Half Cylinder = 1/2*Radius of Half Cylinder*Curved Surface Area of Half Cylinder
Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder^2*Height of Half Cylinder
Volume of Half Cylinder = Base Area of Half Cylinder*Height of Half Cylinder
Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder*((Total Surface Area of Half Cylinder-(pi*Radius of Half Cylinder^2))/(pi+2))
Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder^2*Height of Half Cylinder
Volume of Half Cylinder = 1/2*Curved Surface Area of Half Cylinder^2/(pi*Height of Half Cylinder)

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