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Shape Parameter of Circular Hyperboloid given Volume Formula

GoShape Parameter of Circular Hyperboloid Formula

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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. Check FAQs

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

p - Shape Parameter of Circular Hyperboloid?V - Volume of Circular Hyperboloid?r_Base - Base Radius of Circular Hyperboloid?r_Skirt - Skirt Radius of Circular Hyperboloid?π - Archimedes' constant?

Shape Parameter of Circular Hyperboloid given Volume Example

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

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

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

3.4688 = \frac{3 \cdot 7550}{2 \cdot 3.1416 \cdot \sqrt{\frac{20^{2}}{10^{2}} - 1} \cdot ((2 \cdot 10^{2}) + 20^{2})}

3.4688m = \frac{3 \cdot 7550m³}{2 \cdot 3.1416 \cdot \sqrt{\frac{{20m}^{2}}{{10m}^{2}} - 1} \cdot ((2 \cdot {10m}^{2}) + {20m}^{2})}

3.4688 = \frac{3 \cdot 7550}{2 \cdot 3.1416 \cdot \sqrt{\frac{20^{2}}{10^{2}} - 1} \cdot ((2 \cdot 10^{2}) + 20^{2})}

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Shape Parameter of Circular Hyperboloid given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

p = \frac{3 \cdot 7550m³}{2 \cdot π \cdot \sqrt{\frac{{20m}^{2}}{{10m}^{2}} - 1} \cdot ((2 \cdot {10m}^{2}) + {20m}^{2})}

Next Step Substitute values of Constants

∴

p = \frac{3 \cdot 7550m³}{2 \cdot 3.1416 \cdot \sqrt{\frac{{20m}^{2}}{{10m}^{2}} - 1} \cdot ((2 \cdot {10m}^{2}) + {20m}^{2})}

Next Step Prepare to Evaluate

∴

p = \frac{3 \cdot 7550}{2 \cdot 3.1416 \cdot \sqrt{\frac{20^{2}}{10^{2}} - 1} \cdot ((2 \cdot 10^{2}) + 20^{2})}

Next Step Evaluate

∴

p = 3.46877763369544m

LAST Step Rounding Answer

∴

p = 3.4688m

Shape Parameter of Circular Hyperboloid given Volume Formula Elements

Variables

Constants

Functions

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

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

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

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 Shape Parameter of Circular Hyperboloid

Go Shape Parameter of Circular Hyperboloid

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

How to Evaluate Shape Parameter of Circular Hyperboloid given Volume?

Shape Parameter of Circular Hyperboloid given Volume evaluator uses Shape Parameter of Circular Hyperboloid = (3*Volume of Circular Hyperboloid)/(2*pi*sqrt(Base Radius of Circular Hyperboloid^2/Skirt Radius of Circular Hyperboloid^2-1)*((2*Skirt Radius of Circular Hyperboloid^2)+Base Radius of Circular Hyperboloid^2)) to evaluate the Shape Parameter of Circular Hyperboloid, The Shape Parameter of Circular Hyperboloid given Volume formula is defined as the value that determines the shrinkness and flatness of a Circular Hyperboloid depending on its base and skirt radii and height, calculated using volume of Circular Hyperboloid. Shape Parameter of Circular Hyperboloid is denoted by p symbol.

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

FAQs on Shape Parameter of Circular Hyperboloid given Volume

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

The formula of Shape Parameter of Circular Hyperboloid given Volume is expressed as Shape Parameter of Circular Hyperboloid = (3*Volume of Circular Hyperboloid)/(2*pi*sqrt(Base Radius of Circular Hyperboloid^2/Skirt Radius of Circular Hyperboloid^2-1)*((2*Skirt Radius of Circular Hyperboloid^2)+Base Radius of Circular Hyperboloid^2)). Here is an example- 3.468778 = (3*7550)/(2*pi*sqrt(20^2/10^2-1)*((2*10^2)+20^2)).

How to calculate Shape Parameter of Circular Hyperboloid given Volume?

With Volume of Circular Hyperboloid (V), Base Radius of Circular Hyperboloid (r_Base) & Skirt Radius of Circular Hyperboloid (r_Skirt) we can find Shape Parameter of Circular Hyperboloid given Volume using the formula - Shape Parameter of Circular Hyperboloid = (3*Volume of Circular Hyperboloid)/(2*pi*sqrt(Base Radius of Circular Hyperboloid^2/Skirt Radius of Circular Hyperboloid^2-1)*((2*Skirt Radius of Circular Hyperboloid^2)+Base Radius of Circular Hyperboloid^2)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Shape Parameter of Circular Hyperboloid?

Here are the different ways to Calculate Shape Parameter of Circular Hyperboloid-

Shape Parameter of Circular Hyperboloid=sqrt(Height of Circular Hyperboloid^2/(4*(Base Radius of Circular Hyperboloid^2/Skirt Radius of Circular Hyperboloid^2-1)))

Can the Shape Parameter of Circular Hyperboloid given Volume be negative?

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

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

Shape Parameter 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 Shape Parameter of Circular Hyperboloid given Volume can be measured.

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Shape Parameter of Circular Hyperboloid given Volume Formula

​GoShape Parameter of Circular Hyperboloid Formula

Shape Parameter of Circular Hyperboloid given Volume Example

Shape Parameter of Circular Hyperboloid given Volume Solution

Shape Parameter of Circular Hyperboloid given Volume Formula Elements

Other Formulas to find Shape Parameter of Circular Hyperboloid

How to Evaluate Shape Parameter of Circular Hyperboloid given Volume?

FAQs on Shape Parameter of Circular Hyperboloid given Volume

Variable Name

GoShape Parameter of Circular Hyperboloid Formula