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Height of Truncated Cone given Volume Formula

GoHeight of Truncated Cone given Slant Height Formula

GoHeight of Truncated Cone given Curved Surface Area Formula

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

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

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

Height of Truncated Cone given Volume Example

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

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

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

7.1008 = \frac{3 \cdot 290}{3.1416 \cdot (5^{2} + (5 \cdot 2) + 2^{2})}

7.1008m = \frac{3 \cdot 290m³}{3.1416 \cdot ({5m}^{2} + (5m \cdot 2m) + {2m}^{2})}

7.1008 = \frac{3 \cdot 290}{3.1416 \cdot (5^{2} + (5 \cdot 2) + 2^{2})}

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Height of Truncated Cone given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{3 \cdot 290m³}{π \cdot ({5m}^{2} + (5m \cdot 2m) + {2m}^{2})}

Next Step Substitute values of Constants

∴

h = \frac{3 \cdot 290m³}{3.1416 \cdot ({5m}^{2} + (5m \cdot 2m) + {2m}^{2})}

Next Step Prepare to Evaluate

∴

h = \frac{3 \cdot 290}{3.1416 \cdot (5^{2} + (5 \cdot 2) + 2^{2})}

Next Step Evaluate

∴

h = 7.10075899948456m

LAST Step Rounding Answer

∴

h = 7.1008m

Height of Truncated Cone given Volume Formula Elements

Variables

Constants

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

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

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 Height of Truncated Cone

Go Height of Truncated Cone given Slant Height

h = \sqrt{{h Slant}^{2} - {(r Base - r Top)}^{2}}

Go Height of Truncated Cone given Curved Surface Area

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

Go Height of Truncated Cone given Total Surface Area

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

How to Evaluate Height of Truncated Cone given Volume?

Height of Truncated Cone given Volume evaluator uses Height of Truncated Cone = (3*Volume of Truncated Cone)/(pi*(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 Height of Truncated Cone, The Height of Truncated Cone given Volume formula is defined as the vertical distance from the base circular surface to the top most point of the Truncated Cone, and calculated using the volume of Truncated Cone. Height of Truncated Cone is denoted by h symbol.

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

FAQs on Height of Truncated Cone given Volume

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

The formula of Height of Truncated Cone given Volume is expressed as Height of Truncated Cone = (3*Volume of Truncated Cone)/(pi*(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- 7.100759 = (3*290)/(pi*(5^2+(5*2)+2^2)).

How to calculate Height of Truncated Cone given Volume?

With Volume of Truncated Cone (V), Base Radius of Truncated Cone (r_Base) & Top Radius of Truncated Cone (r_Top) we can find Height of Truncated Cone given Volume using the formula - Height of Truncated Cone = (3*Volume of Truncated Cone)/(pi*(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 Height of Truncated Cone?

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

Height of Truncated Cone=sqrt(Slant Height of Truncated Cone^2-(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2)
Height of Truncated Cone=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)
Height of Truncated Cone=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)

Can the Height of Truncated Cone given Volume be negative?

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

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

Height of Truncated Cone given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Truncated Cone given Volume can be measured.

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Height of Truncated Cone given Volume Formula

​GoHeight of Truncated Cone given Slant Height Formula

​GoHeight of Truncated Cone given Curved Surface Area Formula

Height of Truncated Cone given Volume Example

Height of Truncated Cone given Volume Solution

Height of Truncated Cone given Volume Formula Elements

Other Formulas to find Height of Truncated Cone

How to Evaluate Height of Truncated Cone given Volume?

FAQs on Height of Truncated Cone given Volume

Variable Name

GoHeight of Truncated Cone given Slant Height Formula

GoHeight of Truncated Cone given Curved Surface Area Formula