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Volume of Cylinder given Diagonal and Radius Formula

GoVolume of Cylinder Formula

GoVolume of Cylinder given Lateral Surface Area and Height Formula

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Volume of Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Cylinder. Check FAQs

V = π \cdot r^{2} \cdot \sqrt{d^{2} - {(2 \cdot r)}^{2}}

V - Volume of Cylinder?r - Radius of Cylinder?d - Diagonal of Cylinder?π - Archimedes' constant?

Volume of Cylinder given Diagonal and Radius Example

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

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

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

980.962 = 3.1416 \cdot 5^{2} \cdot \sqrt{16^{2} - {(2 \cdot 5)}^{2}}

980.962m³ = 3.1416 \cdot {5m}^{2} \cdot \sqrt{{16m²}^{2} - {(2 \cdot 5m)}^{2}}

980.962 = 3.1416 \cdot 5^{2} \cdot \sqrt{16^{2} - {(2 \cdot 5)}^{2}}

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Volume of Cylinder given Diagonal and Radius Solution

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

FIRST Step Consider the formula

V = π \cdot r^{2} \cdot \sqrt{d^{2} - {(2 \cdot r)}^{2}}

Next Step Substitute values of Variables

∴

V = π \cdot {5m}^{2} \cdot \sqrt{{16m²}^{2} - {(2 \cdot 5m)}^{2}}

Next Step Substitute values of Constants

∴

V = 3.1416 \cdot {5m}^{2} \cdot \sqrt{{16m²}^{2} - {(2 \cdot 5m)}^{2}}

Next Step Prepare to Evaluate

∴

V = 3.1416 \cdot 5^{2} \cdot \sqrt{16^{2} - {(2 \cdot 5)}^{2}}

Next Step Evaluate

∴

V = 980.961991672569m³

LAST Step Rounding Answer

∴

V = 980.962m³

Volume of Cylinder given Diagonal and Radius Formula Elements

Variables

Constants

Functions

Volume of Cylinder

Volume of Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Cylinder.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Cylinder

Radius of Cylinder

Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Cylinder

Diagonal of Cylinder

Diagonal of Cylinder is the distance between two opposite corners of a Cylinder.

Symbol: d

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Diagonal of 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 Cylinder

Go Volume of Cylinder

V = π \cdot r^{2} \cdot h

Go Volume of Cylinder given Lateral Surface Area and Height

V = \frac{{LSA}^{2}}{4 \cdot π \cdot h}

Go Volume of Cylinder given Total Surface Area and Height

V = \frac{{(TSA - 2 \cdot A Base)}^{2}}{4 \cdot π \cdot h}

Go Volume of Cylinder given Base Area

V = A Base \cdot h

How to Evaluate Volume of Cylinder given Diagonal and Radius?

Volume of Cylinder given Diagonal and Radius evaluator uses Volume of Cylinder = pi*Radius of Cylinder^2*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2) to evaluate the Volume of Cylinder, The Volume of Cylinder given Diagonal and Radius formula is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cylinder, and is calculated using the diagonal and radius of the Cylinder. Volume of Cylinder is denoted by V symbol.

How to evaluate Volume of Cylinder given Diagonal and Radius using this online evaluator? To use this online evaluator for Volume of Cylinder given Diagonal and Radius, enter Radius of Cylinder (r) & Diagonal of Cylinder (d) and hit the calculate button.

FAQs on Volume of Cylinder given Diagonal and Radius

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

The formula of Volume of Cylinder given Diagonal and Radius is expressed as Volume of Cylinder = pi*Radius of Cylinder^2*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2). Here is an example- 980.962 = pi*5^2*sqrt(16^2-(2*5)^2).

How to calculate Volume of Cylinder given Diagonal and Radius?

With Radius of Cylinder (r) & Diagonal of Cylinder (d) we can find Volume of Cylinder given Diagonal and Radius using the formula - Volume of Cylinder = pi*Radius of Cylinder^2*sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Cylinder?

Here are the different ways to Calculate Volume of Cylinder-

Volume of Cylinder=pi*Radius of Cylinder^2*Height of Cylinder
Volume of Cylinder=Lateral Surface Area of Cylinder^2/(4*pi*Height of Cylinder)
Volume of Cylinder=(Total Surface Area of Cylinder-2*Base Area of Cylinder)^2/(4*pi*Height of Cylinder)

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

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

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

Volume of Cylinder given 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 Cylinder given Diagonal and Radius can be measured.

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Volume of Cylinder given Diagonal and Radius Formula

​GoVolume of Cylinder Formula

​GoVolume of Cylinder given Lateral Surface Area and Height Formula

Volume of Cylinder given Diagonal and Radius Example

Volume of Cylinder given Diagonal and Radius Solution

Volume of Cylinder given Diagonal and Radius Formula Elements

Other Formulas to find Volume of Cylinder

How to Evaluate Volume of Cylinder given Diagonal and Radius?

FAQs on Volume of Cylinder given Diagonal and Radius

Variable Name

GoVolume of Cylinder Formula

GoVolume of Cylinder given Lateral Surface Area and Height Formula