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Slant Height of Cone given Volume and Height Formula

GoSlant Height of Cone given Lateral Surface Area Formula

GoSlant Height of Cone given Total Surface Area Formula

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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. Check FAQs

h Slant = \sqrt{h^{2} + \frac{3 \cdot V}{π \cdot h}}

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

Slant Height of Cone given Volume and Height Example

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

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

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

11.1496 = \sqrt{5^{2} + \frac{3 \cdot 520}{3.1416 \cdot 5}}

11.1496m = \sqrt{{5m}^{2} + \frac{3 \cdot 520m³}{3.1416 \cdot 5m}}

11.1496 = \sqrt{5^{2} + \frac{3 \cdot 520}{3.1416 \cdot 5}}

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Slant Height of Cone given Volume and Height Solution

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

FIRST Step Consider the formula

h Slant = \sqrt{h^{2} + \frac{3 \cdot V}{π \cdot h}}

Next Step Substitute values of Variables

∴

h Slant = \sqrt{{5m}^{2} + \frac{3 \cdot 520m³}{π \cdot 5m}}

Next Step Substitute values of Constants

∴

h Slant = \sqrt{{5m}^{2} + \frac{3 \cdot 520m³}{3.1416 \cdot 5m}}

Next Step Prepare to Evaluate

∴

h Slant = \sqrt{5^{2} + \frac{3 \cdot 520}{3.1416 \cdot 5}}

Next Step Evaluate

∴

h Slant = 11.1495598338833m

LAST Step Rounding Answer

∴

h Slant = 11.1496m

Slant Height of Cone given Volume and Height Formula Elements

Variables

Constants

Functions

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

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

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 Cone

Go Slant Height of Cone given Lateral Surface Area

h Slant = \frac{LSA}{π \cdot r Base}

Go Slant Height of Cone given Total Surface Area

h Slant = \frac{TSA}{π \cdot r Base} - r Base

Go Slant Height of Cone

h Slant = \sqrt{h^{2} + {r Base}^{2}}

Go Slant Height of Cone given Volume

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

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

Slant Height of Cone given Volume and Height evaluator uses Slant Height of Cone = sqrt(Height of Cone^2+(3*Volume of Cone)/(pi*Height of Cone)) to evaluate the Slant Height of Cone, The Slant Height of Cone given Volume and Height formula is defined as 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, and calculated using the volume and height of the Cone. Slant Height of Cone is denoted by h_Slant symbol.

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

FAQs on Slant Height of Cone given Volume and Height

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

The formula of Slant Height of Cone given Volume and Height is expressed as Slant Height of Cone = sqrt(Height of Cone^2+(3*Volume of Cone)/(pi*Height of Cone)). Here is an example- 11.14956 = sqrt(5^2+(3*520)/(pi*5)).

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

With Height of Cone (h) & Volume of Cone (V) we can find Slant Height of Cone given Volume and Height using the formula - Slant Height of Cone = sqrt(Height of Cone^2+(3*Volume of Cone)/(pi*Height of Cone)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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

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

Slant Height of Cone=Lateral Surface Area of Cone/(pi*Base Radius of Cone)
Slant Height of Cone=Total Surface Area of Cone/(pi*Base Radius of Cone)-Base Radius of Cone
Slant Height of Cone=sqrt(Height of Cone^2+Base Radius of Cone^2)

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

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

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

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

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Slant Height of Cone given Volume and Height Formula

​GoSlant Height of Cone given Lateral Surface Area Formula

​GoSlant Height of Cone given Total Surface Area Formula

Slant Height of Cone given Volume and Height Example

Slant Height of Cone given Volume and Height Solution

Slant Height of Cone given Volume and Height Formula Elements

Other Formulas to find Slant Height of Cone

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

FAQs on Slant Height of Cone given Volume and Height

Variable Name

GoSlant Height of Cone given Lateral Surface Area Formula

GoSlant Height of Cone given Total Surface Area Formula