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Volume of Cone Formula

GoVolume of Cone given Base Circumference Formula

GoVolume of Cone given Slant Height and Height Formula

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Volume of Cone is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cone. Check FAQs

V = \frac{π \cdot {r Base}^{2} \cdot h}{3}

V - Volume of Cone?r_Base - Base Radius of Cone?h - Height of Cone?π - Archimedes' constant?

Volume of Cone Example

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Here is how the Volume of Cone equation looks like with Values.

Here is how the Volume of Cone equation looks like with Units.

Here is how the Volume of Cone equation looks like.

523.5988 = \frac{3.1416 \cdot 10^{2} \cdot 5}{3}

523.5988m³ = \frac{3.1416 \cdot {10m}^{2} \cdot 5m}{3}

523.5988 = \frac{3.1416 \cdot 10^{2} \cdot 5}{3}

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Volume of Cone Solution

Follow our step by step solution on how to calculate Volume of Cone?

FIRST Step Consider the formula

V = \frac{π \cdot {r Base}^{2} \cdot h}{3}

Next Step Substitute values of Variables

∴

V = \frac{π \cdot {10m}^{2} \cdot 5m}{3}

Next Step Substitute values of Constants

∴

V = \frac{3.1416 \cdot {10m}^{2} \cdot 5m}{3}

Next Step Prepare to Evaluate

∴

V = \frac{3.1416 \cdot 10^{2} \cdot 5}{3}

Next Step Evaluate

∴

V = 523.598775598299m³

LAST Step Rounding Answer

∴

V = 523.5988m³

Volume of Cone Formula Elements

Variables

Constants

Volume of Cone

Volume of Cone is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cone.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Cone

Base Radius of Cone

Base Radius of Cone is defined as the distance between the center and any point on the circumference of the base circular surface of the Cone.

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius of Cone

Height of Cone

Height of Cone is defined as the distance between the apex of the Cone to the center of its circular base.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Cone

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

Other Formulas to find Volume of Cone

Go Volume of Cone given Base Circumference

V = \frac{{C Base}^{2} \cdot h}{12 \cdot π}

Go Volume of Cone given Slant Height and Height

V = \frac{π \cdot ({h Slant}^{2} - h^{2}) \cdot h}{3}

Go Volume of Cone given Total Surface Area

V = \frac{π \cdot {r Base}^{2} \cdot \sqrt{{(\frac{TSA}{π \cdot r Base} - r Base)}^{2} - {r Base}^{2}}}{3}

Go Volume of Cone given Lateral Surface Area

V = \frac{π \cdot {r Base}^{2} \cdot \sqrt{{(\frac{LSA}{π \cdot r Base})}^{2} - {r Base}^{2}}}{3}

How to Evaluate Volume of Cone?

Volume of Cone evaluator uses Volume of Cone = (pi*Base Radius of Cone^2*Height of Cone)/3 to evaluate the Volume of Cone, Volume of Cone formula is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cone. Volume of Cone is denoted by V symbol.

How to evaluate Volume of Cone using this online evaluator? To use this online evaluator for Volume of Cone, enter Base Radius of Cone (r_Base) & Height of Cone (h) and hit the calculate button.

FAQs on Volume of Cone

What is the formula to find Volume of Cone?

The formula of Volume of Cone is expressed as Volume of Cone = (pi*Base Radius of Cone^2*Height of Cone)/3. Here is an example- 523.5988 = (pi*10^2*5)/3.

How to calculate Volume of Cone?

With Base Radius of Cone (r_Base) & Height of Cone (h) we can find Volume of Cone using the formula - Volume of Cone = (pi*Base Radius of Cone^2*Height of Cone)/3. This formula also uses Archimedes' constant .

What are the other ways to Calculate Volume of Cone?

Here are the different ways to Calculate Volume of Cone-

Volume of Cone=(Base Circumference of Cone^2*Height of Cone)/(12*pi)
Volume of Cone=(pi*(Slant Height of Cone^2-Height of Cone^2)*Height of Cone)/3
Volume of Cone=(pi*Base Radius of Cone^2*sqrt((Total Surface Area of Cone/(pi*Base Radius of Cone)-Base Radius of Cone)^2-Base Radius of Cone^2))/3

Can the Volume of Cone be negative?

No, the Volume of Cone, measured in Volume cannot be negative.

Which unit is used to measure Volume of Cone?

Volume of Cone 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 Cone can be measured.

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Volume of Cone Formula

​GoVolume of Cone given Base Circumference Formula

​GoVolume of Cone given Slant Height and Height Formula

Volume of Cone Example

Volume of Cone Solution

Volume of Cone Formula Elements

Other Formulas to find Volume of Cone

How to Evaluate Volume of Cone?

FAQs on Volume of Cone

Variable Name

GoVolume of Cone given Base Circumference Formula

GoVolume of Cone given Slant Height and Height Formula