FormulaDen.com

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

Height of Circular Hyperboloid given Volume Formula

GoHeight of Circular Hyperboloid Formula

Fx Copy

LaTeX Copy

Height of Circular Hyperboloid is the vertical distance between the top and bottom circular faces of the Circular Hyperboloid. Check FAQs

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

h - Height of Circular Hyperboloid?V - Volume of Circular Hyperboloid?r_Skirt - Skirt Radius of Circular Hyperboloid?r_Base - Base Radius of Circular Hyperboloid?π - Archimedes' constant?

Height of Circular Hyperboloid given Volume Example

With values

With units

Only example

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

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

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

12.0162 = \frac{3 \cdot 7550}{3.1416 \cdot ((2 \cdot 10^{2}) + 20^{2})}

12.0162m = \frac{3 \cdot 7550m³}{3.1416 \cdot ((2 \cdot {10m}^{2}) + {20m}^{2})}

12.0162 = \frac{3 \cdot 7550}{3.1416 \cdot ((2 \cdot 10^{2}) + 20^{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 Circular Hyperboloid given Volume

Height of Circular Hyperboloid given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{3 \cdot 7550m³}{π \cdot ((2 \cdot {10m}^{2}) + {20m}^{2})}

Next Step Substitute values of Constants

∴

h = \frac{3 \cdot 7550m³}{3.1416 \cdot ((2 \cdot {10m}^{2}) + {20m}^{2})}

Next Step Prepare to Evaluate

∴

h = \frac{3 \cdot 7550}{3.1416 \cdot ((2 \cdot 10^{2}) + 20^{2})}

Next Step Evaluate

∴

h = 12.0161982034381m

LAST Step Rounding Answer

∴

h = 12.0162m

Height of Circular Hyperboloid given Volume Formula Elements

Variables

Constants

Height of Circular Hyperboloid

Height of Circular Hyperboloid is the vertical distance between the top and bottom circular faces of the Circular Hyperboloid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Circular Hyperboloid

Volume of Circular Hyperboloid

Volume of Circular Hyperboloid is the amount of three-dimensional space covered by the Circular Hyperboloid.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Circular Hyperboloid

Skirt Radius of Circular Hyperboloid

Skirt Radius of Circular Hyperboloid is the distance from center to any point on the circumference of the smallest circular cross-section when cutting Circular Hyperboloid by a horizontal plane.

Symbol: r_Skirt

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Skirt Radius of Circular Hyperboloid

Base Radius of Circular Hyperboloid

Base Radius of Circular Hyperboloid is the distance from the center to any point on the circumference of the circular face at the bottom of the Circular Hyperboloid.

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius of Circular Hyperboloid

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 Circular Hyperboloid

Go Height of Circular Hyperboloid

h = 2 \cdot p \cdot \sqrt{\frac{{r Base}^{2}}{{r Skirt}^{2}} - 1}

Other formulas in Height and Volume of Circular Hyperboloid category

Go Volume of Circular Hyperboloid

V = \frac{1}{3} \cdot π \cdot h \cdot ((2 \cdot {r Skirt}^{2}) + {r Base}^{2})

Go Volume of Circular Hyperboloid given Base Radius and Skirt Radius

V = \frac{2}{3} \cdot π \cdot p \cdot \sqrt{\frac{{r Base}^{2}}{{r Skirt}^{2}} - 1} \cdot ((2 \cdot {r Skirt}^{2}) + {r Base}^{2})

Go Volume of Hyperboloid given Skirt Radius

V = \frac{1}{3} \cdot π \cdot h \cdot {r Skirt}^{2} \cdot (3 + \frac{h^{2}}{4 \cdot p^{2}})

Go Volume of Hyperboloid given Base Radius

V = \frac{1}{3} \cdot π \cdot h \cdot {r Base}^{2} \cdot (\frac{2}{1 + \frac{h^{2}}{4 \cdot p^{2}}} + 1)

How to Evaluate Height of Circular Hyperboloid given Volume?

Height of Circular Hyperboloid given Volume evaluator uses Height of Circular Hyperboloid = (3*Volume of Circular Hyperboloid)/(pi*((2*Skirt Radius of Circular Hyperboloid^2)+Base Radius of Circular Hyperboloid^2)) to evaluate the Height of Circular Hyperboloid, Height of Circular Hyperboloid given Volume formula is defined as the vertical distance between the top and bottom circular faces of the Circular Hyperboloid, calculated using its volume. Height of Circular Hyperboloid is denoted by h symbol.

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

FAQs on Height of Circular Hyperboloid given Volume

What is the formula to find Height of Circular Hyperboloid given Volume?

The formula of Height of Circular Hyperboloid given Volume is expressed as Height of Circular Hyperboloid = (3*Volume of Circular Hyperboloid)/(pi*((2*Skirt Radius of Circular Hyperboloid^2)+Base Radius of Circular Hyperboloid^2)). Here is an example- 12.0162 = (3*7550)/(pi*((2*10^2)+20^2)).

How to calculate Height of Circular Hyperboloid given Volume?

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

What are the other ways to Calculate Height of Circular Hyperboloid?

Here are the different ways to Calculate Height of Circular Hyperboloid-

Height of Circular Hyperboloid=2*Shape Parameter of Circular Hyperboloid*sqrt((Base Radius of Circular Hyperboloid^2)/(Skirt Radius of Circular Hyperboloid^2)-1)

Can the Height of Circular Hyperboloid given Volume be negative?

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

Which unit is used to measure Height of Circular Hyperboloid given Volume?

Height of Circular Hyperboloid 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 Circular Hyperboloid given Volume can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Height of Circular Hyperboloid given Volume Formula

​GoHeight of Circular Hyperboloid Formula

Height of Circular Hyperboloid given Volume Example

Height of Circular Hyperboloid given Volume Solution

Height of Circular Hyperboloid given Volume Formula Elements

Other Formulas to find Height of Circular Hyperboloid

Other formulas in Height and Volume of Circular Hyperboloid category

How to Evaluate Height of Circular Hyperboloid given Volume?

FAQs on Height of Circular Hyperboloid given Volume

Variable Name

GoHeight of Circular Hyperboloid Formula