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Slant Height of Truncated Cone given Volume Formula

GoSlant Height of Truncated Cone Formula

GoSlant Height of Truncated Cone given Curved Surface Area Formula

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Slant Height of Truncated Cone is the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone. Check FAQs

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

h_Slant - Slant 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?

Slant Height of Truncated Cone given Volume Example

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

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

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

7.7085 = \sqrt{{(\frac{3 \cdot 290}{3.1416 \cdot (5^{2} + (5 \cdot 2) + 2^{2})})}^{2} + {(5 - 2)}^{2}}

7.7085m = \sqrt{{(\frac{3 \cdot 290m³}{3.1416 \cdot ({5m}^{2} + (5m \cdot 2m) + {2m}^{2})})}^{2} + {(5m - 2m)}^{2}}

7.7085 = \sqrt{{(\frac{3 \cdot 290}{3.1416 \cdot (5^{2} + (5 \cdot 2) + 2^{2})})}^{2} + {(5 - 2)}^{2}}

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Slant Height of Truncated Cone given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

h Slant = 7.70848742418128m

LAST Step Rounding Answer

∴

h Slant = 7.7085m

Slant Height of Truncated Cone given Volume Formula Elements

Variables

Constants

Functions

Slant Height of Truncated Cone

Slant Height of Truncated Cone is the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone.

Symbol: h_Slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant 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

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 Slant Height of Truncated Cone

Go Slant Height of Truncated Cone

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

Go Slant Height of Truncated Cone given Curved Surface Area

h Slant = \frac{CSA}{π \cdot (r Base + r Top)}

Go Slant Height of Truncated Cone given Total Surface Area

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

How to Evaluate Slant Height of Truncated Cone given Volume?

Slant Height of Truncated Cone given Volume evaluator uses Slant Height of Truncated Cone = sqrt(((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)))^2+(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2) to evaluate the Slant Height of Truncated Cone, The Slant Height of Truncated Cone given Volume formula is defined as the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone, and calculated using the volume of Truncated Cone. Slant Height of Truncated Cone is denoted by h_Slant symbol.

How to evaluate Slant Height of Truncated Cone given Volume using this online evaluator? To use this online evaluator for Slant 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 Slant Height of Truncated Cone given Volume

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

The formula of Slant Height of Truncated Cone given Volume is expressed as Slant Height of Truncated Cone = sqrt(((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)))^2+(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2). Here is an example- 7.708487 = sqrt(((3*290)/(pi*(5^2+(5*2)+2^2)))^2+(5-2)^2).

How to calculate Slant 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 Slant Height of Truncated Cone given Volume using the formula - Slant Height of Truncated Cone = sqrt(((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)))^2+(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Slant Height of Truncated Cone?

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

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

Can the Slant Height of Truncated Cone given Volume be negative?

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

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

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

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Slant Height of Truncated Cone given Volume Formula

​GoSlant Height of Truncated Cone Formula

​GoSlant Height of Truncated Cone given Curved Surface Area Formula

Slant Height of Truncated Cone given Volume Example

Slant Height of Truncated Cone given Volume Solution

Slant Height of Truncated Cone given Volume Formula Elements

Other Formulas to find Slant Height of Truncated Cone

How to Evaluate Slant Height of Truncated Cone given Volume?

FAQs on Slant Height of Truncated Cone given Volume

Variable Name

GoSlant Height of Truncated Cone Formula

GoSlant Height of Truncated Cone given Curved Surface Area Formula