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Volume of Cone given Slant Height and Height Formula

GoVolume of Cone Formula

GoVolume of Cone given Base Circumference 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 ({h Slant}^{2} - h^{2}) \cdot h}{3}

V - Volume of Cone?h_Slant - Slant Height of Cone?h - Height of Cone?π - Archimedes' constant?

Volume of Cone given Slant Height and Height Example

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Here is how the Volume of Cone given Slant Height and Height equation looks like with Values.

Here is how the Volume of Cone given Slant Height and Height equation looks like with Units.

Here is how the Volume of Cone given Slant Height and Height equation looks like.

502.6548 = \frac{3.1416 \cdot (11^{2} - 5^{2}) \cdot 5}{3}

502.6548m³ = \frac{3.1416 \cdot ({11m}^{2} - {5m}^{2}) \cdot 5m}{3}

502.6548 = \frac{3.1416 \cdot (11^{2} - 5^{2}) \cdot 5}{3}

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Volume of Cone given Slant Height and Height Solution

Follow our step by step solution on how to calculate Volume of Cone given Slant Height and Height?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{π \cdot ({11m}^{2} - {5m}^{2}) \cdot 5m}{3}

Next Step Substitute values of Constants

∴

V = \frac{3.1416 \cdot ({11m}^{2} - {5m}^{2}) \cdot 5m}{3}

Next Step Prepare to Evaluate

∴

V = \frac{3.1416 \cdot (11^{2} - 5^{2}) \cdot 5}{3}

Next Step Evaluate

∴

V = 502.654824574367m³

LAST Step Rounding Answer

∴

V = 502.6548m³

Volume of Cone given Slant Height and Height 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

Slant Height of Cone

Slant Height of Cone is the length of the line segment joining the apex of the Cone to any point on the circumference of the circular base of the Cone.

Symbol: h_Slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Height 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

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

Go Volume of Cone given Base Circumference

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

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 given Slant Height and Height?

Volume of Cone given Slant Height and Height evaluator uses Volume of Cone = (pi*(Slant Height of Cone^2-Height of Cone^2)*Height of Cone)/3 to evaluate the Volume of Cone, The Volume of Cone given Slant Height and Height formula is defined as the total quantity of three-dimensional space enclosed by the entire surface of the Cone, and calculated using the slant height and height of the Cone. Volume of Cone is denoted by V symbol.

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

FAQs on Volume of Cone given Slant Height and Height

What is the formula to find Volume of Cone given Slant Height and Height?

The formula of Volume of Cone given Slant Height and Height is expressed as Volume of Cone = (pi*(Slant Height of Cone^2-Height of Cone^2)*Height of Cone)/3. Here is an example- 502.6548 = (pi*(11^2-5^2)*5)/3.

How to calculate Volume of Cone given Slant Height and Height?

With Slant Height of Cone (h_Slant) & Height of Cone (h) we can find Volume of Cone given Slant Height and Height using the formula - Volume of Cone = (pi*(Slant Height of Cone^2-Height 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=(pi*Base Radius of Cone^2*Height of Cone)/3
Volume of Cone=(Base Circumference of Cone^2*Height of Cone)/(12*pi)
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 given Slant Height and Height be negative?

No, the Volume of Cone given Slant Height and Height, measured in Volume cannot be negative.

Which unit is used to measure Volume of Cone given Slant Height and Height?

Volume of Cone given Slant Height and Height 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 given Slant Height and Height can be measured.

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Volume of Cone given Slant Height and Height Formula

​GoVolume of Cone Formula

​GoVolume of Cone given Base Circumference Formula

Volume of Cone given Slant Height and Height Example

Volume of Cone given Slant Height and Height Solution

Volume of Cone given Slant Height and Height Formula Elements

Other Formulas to find Volume of Cone

How to Evaluate Volume of Cone given Slant Height and Height?

FAQs on Volume of Cone given Slant Height and Height

Variable Name

GoVolume of Cone Formula

GoVolume of Cone given Base Circumference Formula