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Base Radius of Circular Hyperboloid Formula

GoBase Radius of Circular Hyperboloid given Volume Formula

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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. Check FAQs

r Base = r Skirt \cdot \sqrt{1 + \frac{h^{2}}{4 \cdot p^{2}}}

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

Base Radius of Circular Hyperboloid Example

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

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

Here is how the Base Radius of Circular Hyperboloid equation looks like.

19.8463 = 10 \cdot \sqrt{1 + \frac{12^{2}}{4 \cdot {3.5}^{2}}}

19.8463m = 10m \cdot \sqrt{1 + \frac{{12m}^{2}}{4 \cdot {3.5m}^{2}}}

19.8463 = 10 \cdot \sqrt{1 + \frac{12^{2}}{4 \cdot {3.5}^{2}}}

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Base Radius of Circular Hyperboloid Solution

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

FIRST Step Consider the formula

r Base = r Skirt \cdot \sqrt{1 + \frac{h^{2}}{4 \cdot p^{2}}}

Next Step Substitute values of Variables

∴

r Base = 10m \cdot \sqrt{1 + \frac{{12m}^{2}}{4 \cdot {3.5m}^{2}}}

Next Step Prepare to Evaluate

∴

r Base = 10 \cdot \sqrt{1 + \frac{12^{2}}{4 \cdot {3.5}^{2}}}

Next Step Evaluate

∴

r Base = 19.8463485563569m

LAST Step Rounding Answer

∴

r Base = 19.8463m

Base Radius of Circular Hyperboloid Formula Elements

Variables

Functions

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

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

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 Base Radius of Circular Hyperboloid

Go Base Radius of Circular Hyperboloid given Volume

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

Other formulas in Radius of Hyperboloid category

Go Skirt Radius of Circular Hyperboloid

r Skirt = \frac{r Base}{\sqrt{1 + \frac{h^{2}}{4 \cdot p^{2}}}}

Go Skirt Radius of Circular Hyperboloid given Volume

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

How to Evaluate Base Radius of Circular Hyperboloid?

Base Radius of Circular Hyperboloid evaluator uses Base Radius of Circular Hyperboloid = Skirt Radius of Circular Hyperboloid*sqrt(1+(Height of Circular Hyperboloid^2)/(4*Shape Parameter of Circular Hyperboloid^2)) to evaluate the Base Radius of Circular Hyperboloid, Base Radius of Circular Hyperboloid formula is defined as the distance from the center to any point on the circumference of the circular face at the bottom of the Circular Hyperboloid. Base Radius of Circular Hyperboloid is denoted by r_Base symbol.

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

FAQs on Base Radius of Circular Hyperboloid

What is the formula to find Base Radius of Circular Hyperboloid?

The formula of Base Radius of Circular Hyperboloid is expressed as Base Radius of Circular Hyperboloid = Skirt Radius of Circular Hyperboloid*sqrt(1+(Height of Circular Hyperboloid^2)/(4*Shape Parameter of Circular Hyperboloid^2)). Here is an example- 19.84635 = 10*sqrt(1+(12^2)/(4*3.5^2)).

How to calculate Base Radius of Circular Hyperboloid?

With Skirt Radius of Circular Hyperboloid (r_Skirt), Height of Circular Hyperboloid (h) & Shape Parameter of Circular Hyperboloid (p) we can find Base Radius of Circular Hyperboloid using the formula - Base Radius of Circular Hyperboloid = Skirt Radius of Circular Hyperboloid*sqrt(1+(Height of Circular Hyperboloid^2)/(4*Shape Parameter of Circular Hyperboloid^2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Base Radius of Circular Hyperboloid?

Here are the different ways to Calculate Base Radius of Circular Hyperboloid-

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

Can the Base Radius of Circular Hyperboloid be negative?

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

Which unit is used to measure Base Radius of Circular Hyperboloid?

Base Radius 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 Base Radius of Circular Hyperboloid can be measured.

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Base Radius of Circular Hyperboloid Formula

​GoBase Radius of Circular Hyperboloid given Volume Formula

Base Radius of Circular Hyperboloid Example

Base Radius of Circular Hyperboloid Solution

Base Radius of Circular Hyperboloid Formula Elements

Other Formulas to find Base Radius of Circular Hyperboloid

Other formulas in Radius of Hyperboloid category

How to Evaluate Base Radius of Circular Hyperboloid?

FAQs on Base Radius of Circular Hyperboloid

Variable Name

GoBase Radius of Circular Hyperboloid given Volume Formula