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Volume of Half Cylinder given Space Diagonal and Radius Formula

GoVolume of Half Cylinder Formula

GoVolume of Half Cylinder given Curved Surface Area and Height Formula

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Volume of Half Cylinders is the amount of 3-dimensional space enclosed by the surface of Half Cylinder. Check FAQs

V = \frac{1}{2} \cdot π \cdot r^{2} \cdot \sqrt{{d Space}^{2} - r^{2}}

V - Volume of Half Cylinder?r - Radius of Half Cylinder?d_Space - Space Diagonal of Half Cylinder?π - Archimedes' constant?

Volume of Half Cylinder given Space Diagonal and Radius Example

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Here is how the Volume of Half Cylinder given Space Diagonal and Radius equation looks like with Values.

Here is how the Volume of Half Cylinder given Space Diagonal and Radius equation looks like with Units.

Here is how the Volume of Half Cylinder given Space Diagonal and Radius equation looks like.

1756.2037 = \frac{1}{2} \cdot 3.1416 \cdot 10^{2} \cdot \sqrt{15^{2} - 10^{2}}

1756.2037m³ = \frac{1}{2} \cdot 3.1416 \cdot {10m}^{2} \cdot \sqrt{{15m}^{2} - {10m}^{2}}

1756.2037 = \frac{1}{2} \cdot 3.1416 \cdot 10^{2} \cdot \sqrt{15^{2} - 10^{2}}

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Volume of Half Cylinder given Space Diagonal and Radius Solution

Follow our step by step solution on how to calculate Volume of Half Cylinder given Space Diagonal and Radius?

FIRST Step Consider the formula

V = \frac{1}{2} \cdot π \cdot r^{2} \cdot \sqrt{{d Space}^{2} - r^{2}}

Next Step Substitute values of Variables

∴

V = \frac{1}{2} \cdot π \cdot {10m}^{2} \cdot \sqrt{{15m}^{2} - {10m}^{2}}

Next Step Substitute values of Constants

∴

V = \frac{1}{2} \cdot 3.1416 \cdot {10m}^{2} \cdot \sqrt{{15m}^{2} - {10m}^{2}}

Next Step Prepare to Evaluate

∴

V = \frac{1}{2} \cdot 3.1416 \cdot 10^{2} \cdot \sqrt{15^{2} - 10^{2}}

Next Step Evaluate

∴

V = 1756.20368276018m³

LAST Step Rounding Answer

∴

V = 1756.2037m³

Volume of Half Cylinder given Space Diagonal and Radius Formula Elements

Variables

Constants

Functions

Volume of Half Cylinder

Volume of Half Cylinders is the amount of 3-dimensional space enclosed by the surface of Half Cylinder.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Half Cylinder

Radius of Half Cylinder

Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Half Cylinder

Space Diagonal of Half Cylinder

Space Diagonal of Half Cylinder is a line connecting two vertices that are not on the same face of Half Cylinder.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Half Cylinder

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other Formulas to find Volume of Half Cylinder

Go Volume of Half Cylinder

V = \frac{1}{2} \cdot π \cdot r^{2} \cdot h

Go Volume of Half Cylinder given Curved Surface Area and Height

V = \frac{1}{2} \cdot \frac{{CSA}^{2}}{π \cdot h}

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

Volume of Half Cylinder given Space Diagonal and Radius evaluator 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 evaluate 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 evaluate Volume of Half Cylinder given Space Diagonal and Radius using this online evaluator? To use this online evaluator 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.

FAQs on Volume of Half Cylinder given Space Diagonal and Radius

What is the formula to find Volume of Half Cylinder given Space Diagonal and Radius?

The formula of Volume of Half Cylinder given Space Diagonal and Radius is expressed as Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder^2*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2). Here is an example- 1756.204 = 1/2*pi*10^2*sqrt(15^2-10^2).

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

With Radius of Half Cylinder (r) & Space Diagonal of Half Cylinder (d_Space) we can find Volume of Half Cylinder given Space Diagonal and Radius using the 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). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Half Cylinder?

Here are the different ways to Calculate Volume of Half Cylinder-

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)

Can the Volume of Half Cylinder given Space Diagonal and Radius be negative?

No, the Volume of Half Cylinder given Space Diagonal and Radius, measured in Volume cannot be negative.

Which unit is used to measure Volume of Half Cylinder given Space Diagonal and Radius?

Volume of Half Cylinder given Space Diagonal and Radius is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Half Cylinder given Space Diagonal and Radius can be measured.

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Volume of Half Cylinder given Space Diagonal and Radius Formula

​GoVolume of Half Cylinder Formula

​GoVolume of Half Cylinder given Curved Surface Area and Height Formula

Volume of Half Cylinder given Space Diagonal and Radius Example

Volume of Half Cylinder given Space Diagonal and Radius Solution

Volume of Half Cylinder given Space Diagonal and Radius Formula Elements

Other Formulas to find Volume of Half Cylinder

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

FAQs on Volume of Half Cylinder given Space Diagonal and Radius

Variable Name

GoVolume of Half Cylinder Formula

GoVolume of Half Cylinder given Curved Surface Area and Height Formula