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Height of Circular Hyperboloid Formula

GoHeight of Circular Hyperboloid given Volume Formula

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

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

h - Height of Circular Hyperboloid?p - Shape Parameter of Circular Hyperboloid?r_Base - Base Radius of Circular Hyperboloid?r_Skirt - Skirt Radius of Circular Hyperboloid?

Height of Circular Hyperboloid Example

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

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

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

12.1244 = 2 \cdot 3.5 \cdot \sqrt{\frac{20^{2}}{10^{2}} - 1}

12.1244m = 2 \cdot 3.5m \cdot \sqrt{\frac{{20m}^{2}}{{10m}^{2}} - 1}

12.1244 = 2 \cdot 3.5 \cdot \sqrt{\frac{20^{2}}{10^{2}} - 1}

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Height of Circular Hyperboloid Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = 2 \cdot 3.5m \cdot \sqrt{\frac{{20m}^{2}}{{10m}^{2}} - 1}

Next Step Prepare to Evaluate

∴

h = 2 \cdot 3.5 \cdot \sqrt{\frac{20^{2}}{10^{2}} - 1}

Next Step Evaluate

∴

h = 12.1243556529821m

LAST Step Rounding Answer

∴

h = 12.1244m

Height of Circular Hyperboloid Formula Elements

Variables

Functions

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

Shape Parameter of Circular Hyperboloid

Shape Parameter of Circular Hyperboloid is the value that determines the shrinkness and flatness of a Circular Hyperboloid depending on its base and skirt radii and height.

Symbol: p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Shape Parameter 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

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

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 Height of Circular Hyperboloid

Go Height of Circular Hyperboloid given Volume

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

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?

Height of Circular Hyperboloid evaluator uses Height of Circular Hyperboloid = 2*Shape Parameter of Circular Hyperboloid*sqrt((Base Radius of Circular Hyperboloid^2)/(Skirt Radius of Circular Hyperboloid^2)-1) to evaluate the Height of Circular Hyperboloid, Height of Circular Hyperboloid formula is defined as the vertical distance between the top and bottom circular faces of the Circular Hyperboloid. Height of Circular Hyperboloid is denoted by h symbol.

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

FAQs on Height of Circular Hyperboloid

What is the formula to find Height of Circular Hyperboloid?

The formula of Height of Circular Hyperboloid is expressed as Height of Circular Hyperboloid = 2*Shape Parameter of Circular Hyperboloid*sqrt((Base Radius of Circular Hyperboloid^2)/(Skirt Radius of Circular Hyperboloid^2)-1). Here is an example- 12.12436 = 2*3.5*sqrt((20^2)/(10^2)-1).

How to calculate Height of Circular Hyperboloid?

With Shape Parameter of Circular Hyperboloid (p), Base Radius of Circular Hyperboloid (r_Base) & Skirt Radius of Circular Hyperboloid (r_Skirt) we can find Height of Circular Hyperboloid using the formula - Height of Circular Hyperboloid = 2*Shape Parameter of Circular Hyperboloid*sqrt((Base Radius of Circular Hyperboloid^2)/(Skirt Radius of Circular Hyperboloid^2)-1). This formula also uses Square Root (sqrt) function(s).

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=(3*Volume of Circular Hyperboloid)/(pi*((2*Skirt Radius of Circular Hyperboloid^2)+Base Radius of Circular Hyperboloid^2))

Can the Height of Circular Hyperboloid be negative?

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

Which unit is used to measure Height of Circular Hyperboloid?

Height of Circular Hyperboloid 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 can be measured.

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Height of Circular Hyperboloid Formula

​GoHeight of Circular Hyperboloid given Volume Formula

Height of Circular Hyperboloid Example

Height of Circular Hyperboloid Solution

Height of Circular Hyperboloid 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?

FAQs on Height of Circular Hyperboloid

Variable Name

GoHeight of Circular Hyperboloid given Volume Formula