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Volume of Circular Hyperboloid given Base Radius and Skirt Radius Formula

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GoVolume of Hyperboloid given Skirt Radius Formula

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

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})

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

Volume of Circular Hyperboloid given Base Radius and Skirt Radius Example

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Here is how the Volume of Circular Hyperboloid given Base Radius and Skirt Radius equation looks like with Units.

Here is how the Volume of Circular Hyperboloid given Base Radius and Skirt Radius equation looks like.

7617.9573 = \frac{2}{3} \cdot 3.1416 \cdot 3.5 \cdot \sqrt{\frac{20^{2}}{10^{2}} - 1} \cdot ((2 \cdot 10^{2}) + 20^{2})

7617.9573m³ = \frac{2}{3} \cdot 3.1416 \cdot 3.5m \cdot \sqrt{\frac{{20m}^{2}}{{10m}^{2}} - 1} \cdot ((2 \cdot {10m}^{2}) + {20m}^{2})

7617.9573 = \frac{2}{3} \cdot 3.1416 \cdot 3.5 \cdot \sqrt{\frac{20^{2}}{10^{2}} - 1} \cdot ((2 \cdot 10^{2}) + 20^{2})

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Volume of Circular Hyperboloid given Base Radius and Skirt Radius Solution

Follow our step by step solution on how to calculate Volume of Circular Hyperboloid given Base Radius and Skirt Radius?

FIRST Step Consider the formula

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})

Next Step Substitute values of Variables

∴

V = \frac{2}{3} \cdot π \cdot 3.5m \cdot \sqrt{\frac{{20m}^{2}}{{10m}^{2}} - 1} \cdot ((2 \cdot {10m}^{2}) + {20m}^{2})

Next Step Substitute values of Constants

∴

V = \frac{2}{3} \cdot 3.1416 \cdot 3.5m \cdot \sqrt{\frac{{20m}^{2}}{{10m}^{2}} - 1} \cdot ((2 \cdot {10m}^{2}) + {20m}^{2})

Next Step Prepare to Evaluate

∴

V = \frac{2}{3} \cdot 3.1416 \cdot 3.5 \cdot \sqrt{\frac{20^{2}}{10^{2}} - 1} \cdot ((2 \cdot 10^{2}) + 20^{2})

Next Step Evaluate

∴

V = 7617.95732978371m³

LAST Step Rounding Answer

∴

V = 7617.9573m³

Volume of Circular Hyperboloid given Base Radius and Skirt Radius Formula Elements

Variables

Constants

Functions

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

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

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 Volume of Circular Hyperboloid

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 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)

Other formulas in Height and Volume of Circular Hyperboloid category

Go Height of Circular Hyperboloid

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

Go Height of Circular Hyperboloid given Volume

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

How to Evaluate Volume of Circular Hyperboloid given Base Radius and Skirt Radius?

Volume of Circular Hyperboloid given Base Radius and Skirt Radius evaluator uses Volume of Circular Hyperboloid = 2/3*pi*Shape Parameter of Circular Hyperboloid*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 Volume of Circular Hyperboloid, The Volume of Circular Hyperboloid given Base Radius and Skirt Radius formula is defined as the amount of three-dimensional space covered by the Circular Hyperboloid, calculated using base radius and skirt radius of Circular Hyperboloid. Volume of Circular Hyperboloid is denoted by V symbol.

How to evaluate Volume of Circular Hyperboloid given Base Radius and Skirt Radius using this online evaluator? To use this online evaluator for Volume of Circular Hyperboloid given Base Radius and Skirt Radius, 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 Volume of Circular Hyperboloid given Base Radius and Skirt Radius

What is the formula to find Volume of Circular Hyperboloid given Base Radius and Skirt Radius?

The formula of Volume of Circular Hyperboloid given Base Radius and Skirt Radius is expressed as Volume of Circular Hyperboloid = 2/3*pi*Shape Parameter of Circular Hyperboloid*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- 7617.957 = 2/3*pi*3.5*sqrt((20^2)/(10^2)-1)*((2*10^2)+20^2).

How to calculate Volume of Circular Hyperboloid given Base Radius and Skirt Radius?

With Shape Parameter of Circular Hyperboloid (p), Base Radius of Circular Hyperboloid (r_Base) & Skirt Radius of Circular Hyperboloid (r_Skirt) we can find Volume of Circular Hyperboloid given Base Radius and Skirt Radius using the formula - Volume of Circular Hyperboloid = 2/3*pi*Shape Parameter of Circular Hyperboloid*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 Volume of Circular Hyperboloid?

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

Volume of Circular Hyperboloid=1/3*pi*Height of Circular Hyperboloid*((2*Skirt Radius of Circular Hyperboloid^2)+Base Radius of Circular Hyperboloid^2)
Volume of Circular Hyperboloid=1/3*pi*Height of Circular Hyperboloid*Skirt Radius of Circular Hyperboloid^2*(3+Height of Circular Hyperboloid^2/(4*Shape Parameter of Circular Hyperboloid^2))
Volume of Circular Hyperboloid=1/3*pi*Height of Circular Hyperboloid*Base Radius of Circular Hyperboloid^2*(2/(1+Height of Circular Hyperboloid^2/(4*Shape Parameter of Circular Hyperboloid^2))+1)

Can the Volume of Circular Hyperboloid given Base Radius and Skirt Radius be negative?

No, the Volume of Circular Hyperboloid given Base Radius and Skirt Radius, measured in Volume cannot be negative.

Which unit is used to measure Volume of Circular Hyperboloid given Base Radius and Skirt Radius?

Volume of Circular Hyperboloid given Base Radius and Skirt Radius is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Circular Hyperboloid given Base Radius and Skirt Radius can be measured.

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Volume of Circular Hyperboloid given Base Radius and Skirt Radius Formula

​GoVolume of Circular Hyperboloid Formula

​GoVolume of Hyperboloid given Skirt Radius Formula

Volume of Circular Hyperboloid given Base Radius and Skirt Radius Example

Volume of Circular Hyperboloid given Base Radius and Skirt Radius Solution

Volume of Circular Hyperboloid given Base Radius and Skirt Radius Formula Elements

Other Formulas to find Volume of Circular Hyperboloid

Other formulas in Height and Volume of Circular Hyperboloid category

How to Evaluate Volume of Circular Hyperboloid given Base Radius and Skirt Radius?

FAQs on Volume of Circular Hyperboloid given Base Radius and Skirt Radius

Variable Name

GoVolume of Circular Hyperboloid Formula

GoVolume of Hyperboloid given Skirt Radius Formula