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Volume of Truncated Cone Formula

GoVolume of Truncated Cone given Total Surface Area Formula

GoVolume of Truncated Cone given Curved Surface Area Formula

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

V = \frac{π}{3} \cdot h \cdot ({r Base}^{2} + (r Base \cdot r Top) + {r Top}^{2})

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

Volume of Truncated Cone Example

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

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

Here is how the Volume of Truncated Cone equation looks like.

285.8849 = \frac{3.1416}{3} \cdot 7 \cdot (5^{2} + (5 \cdot 2) + 2^{2})

285.8849m³ = \frac{3.1416}{3} \cdot 7m \cdot ({5m}^{2} + (5m \cdot 2m) + {2m}^{2})

285.8849 = \frac{3.1416}{3} \cdot 7 \cdot (5^{2} + (5 \cdot 2) + 2^{2})

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Volume of Truncated Cone Solution

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

FIRST Step Consider the formula

V = \frac{π}{3} \cdot h \cdot ({r Base}^{2} + (r Base \cdot r Top) + {r Top}^{2})

Next Step Substitute values of Variables

∴

V = \frac{π}{3} \cdot 7m \cdot ({5m}^{2} + (5m \cdot 2m) + {2m}^{2})

Next Step Substitute values of Constants

∴

V = \frac{3.1416}{3} \cdot 7m \cdot ({5m}^{2} + (5m \cdot 2m) + {2m}^{2})

Next Step Prepare to Evaluate

∴

V = \frac{3.1416}{3} \cdot 7 \cdot (5^{2} + (5 \cdot 2) + 2^{2})

Next Step Evaluate

∴

V = 285.884931476671m³

LAST Step Rounding Answer

∴

V = 285.8849m³

Volume of Truncated Cone Formula Elements

Variables

Constants

Volume of Truncated Cone

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Truncated Cone

Height of Truncated Cone

Height of Truncated Cone is the vertical distance from the base circular surface to the top most point of the Truncated Cone.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Truncated Cone

Base Radius of Truncated Cone

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

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius of Truncated Cone

Top Radius of Truncated Cone

Top Radius of Truncated Cone is the distance between the center and any point on the circumference of the top circular surface of the Truncated Cone.

Symbol: r_Top

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top Radius of Truncated 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 Truncated Cone

Go Volume of Truncated Cone given Total Surface Area

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

Go Volume of Truncated Cone given Curved Surface Area

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

Go Volume of Truncated Cone given Slant Height

V = \frac{π}{3} \cdot ({r Base}^{2} + (r Base \cdot r Top) + {r Top}^{2}) \cdot \sqrt{{h Slant}^{2} - {(r Base - r Top)}^{2}}

How to Evaluate Volume of Truncated Cone?

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

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

FAQs on Volume of Truncated Cone

What is the formula to find Volume of Truncated Cone?

The formula of Volume of Truncated Cone is expressed as Volume of Truncated Cone = pi/3*Height of Truncated Cone*(Base Radius of Truncated Cone^2+(Base Radius of Truncated Cone*Top Radius of Truncated Cone)+Top Radius of Truncated Cone^2). Here is an example- 285.8849 = pi/3*7*(5^2+(5*2)+2^2).

How to calculate Volume of Truncated Cone?

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

What are the other ways to Calculate Volume of Truncated Cone?

Here are the different ways to Calculate Volume of Truncated Cone-

Volume of Truncated Cone=pi/3*(Base Radius of Truncated Cone^2+(Base Radius of Truncated Cone*Top Radius of Truncated Cone)+Top Radius of Truncated Cone^2)*sqrt(((Total Surface Area of Truncated Cone-pi*(Base Radius of Truncated Cone^2+Top Radius of Truncated Cone^2))/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)))^2-(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2)
Volume of Truncated Cone=pi/3*(Base Radius of Truncated Cone^2+(Base Radius of Truncated Cone*Top Radius of Truncated Cone)+Top Radius of Truncated Cone^2)*sqrt((Curved Surface Area of Truncated Cone/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)))^2-(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2)
Volume of Truncated Cone=pi/3*(Base Radius of Truncated Cone^2+(Base Radius of Truncated Cone*Top Radius of Truncated Cone)+Top Radius of Truncated Cone^2)*sqrt(Slant Height of Truncated Cone^2-(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2)

Can the Volume of Truncated Cone be negative?

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

Which unit is used to measure Volume of Truncated Cone?

Volume of Truncated 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 Truncated Cone can be measured.

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Volume of Truncated Cone Formula

​GoVolume of Truncated Cone given Total Surface Area Formula

​GoVolume of Truncated Cone given Curved Surface Area Formula

Volume of Truncated Cone Example

Volume of Truncated Cone Solution

Volume of Truncated Cone Formula Elements

Other Formulas to find Volume of Truncated Cone

How to Evaluate Volume of Truncated Cone?

FAQs on Volume of Truncated Cone

Variable Name

GoVolume of Truncated Cone given Total Surface Area Formula

GoVolume of Truncated Cone given Curved Surface Area Formula