FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Height of Cone given Volume Formula

GoHeight of Cone given Lateral Surface Area Formula

GoHeight of Cone given Total Surface Area Formula

Fx Copy

LaTeX Copy

Height of Cone is defined as the distance between the apex of the Cone to the center of its circular base. Check FAQs

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

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

Height of Cone given Volume Example

With values

With units

Only example

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

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

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

4.9656 = \frac{3 \cdot 520}{3.1416 \cdot 10^{2}}

4.9656m = \frac{3 \cdot 520m³}{3.1416 \cdot {10m}^{2}}

4.9656 = \frac{3 \cdot 520}{3.1416 \cdot 10^{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Height of Cone given Volume

Height of Cone given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{3 \cdot 520m³}{π \cdot {10m}^{2}}

Next Step Substitute values of Constants

∴

h = \frac{3 \cdot 520m³}{3.1416 \cdot {10m}^{2}}

Next Step Prepare to Evaluate

∴

h = \frac{3 \cdot 520}{3.1416 \cdot 10^{2}}

Next Step Evaluate

∴

h = 4.96563422446713m

LAST Step Rounding Answer

∴

h = 4.9656m

Height of Cone given Volume Formula Elements

Variables

Constants

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

Base Radius of Cone

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

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius 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 Height of Cone

Go Height of Cone given Lateral Surface Area

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

Go Height of Cone given Total Surface Area

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

Go Height of Cone given Volume and Base Area

h = \frac{3 \cdot V}{A Base}

Go Height of Cone given Volume and Base Circumference

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

How to Evaluate Height of Cone given Volume?

Height of Cone given Volume evaluator uses Height of Cone = (3*Volume of Cone)/(pi*Base Radius of Cone^2) to evaluate the Height of Cone, Height of Cone given Volume formula is defined as the distance between the apex of the Cone to the center of the circular base, and calculated using the volume of the Cone. Height of Cone is denoted by h symbol.

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

FAQs on Height of Cone given Volume

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

The formula of Height of Cone given Volume is expressed as Height of Cone = (3*Volume of Cone)/(pi*Base Radius of Cone^2). Here is an example- 4.965634 = (3*520)/(pi*10^2).

How to calculate Height of Cone given Volume?

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

What are the other ways to Calculate Height of Cone?

Here are the different ways to Calculate Height of Cone-

Height of Cone=sqrt((Lateral Surface Area of Cone/(pi*Base Radius of Cone))^2-Base Radius of Cone^2)
Height of Cone=sqrt((Total Surface Area of Cone/(pi*Base Radius of Cone)-Base Radius of Cone)^2-Base Radius of Cone^2)
Height of Cone=(3*Volume of Cone)/Base Area of Cone

Can the Height of Cone given Volume be negative?

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

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

Height of 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 Cone given Volume can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Height of Cone given Volume Formula

​GoHeight of Cone given Lateral Surface Area Formula

​GoHeight of Cone given Total Surface Area Formula

Height of Cone given Volume Example

Height of Cone given Volume Solution

Height of Cone given Volume Formula Elements

Other Formulas to find Height of Cone

How to Evaluate Height of Cone given Volume?

FAQs on Height of Cone given Volume

Variable Name

GoHeight of Cone given Lateral Surface Area Formula

GoHeight of Cone given Total Surface Area Formula