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Base Radius of Circular Hyperboloid given Volume Formula

GoBase Radius of Circular Hyperboloid 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 = \sqrt{\frac{3 \cdot V}{π \cdot h} - (2 \cdot {r Skirt}^{2})}

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

Base Radius of Circular Hyperboloid given Volume Example

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

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

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

20.0202 = \sqrt{\frac{3 \cdot 7550}{3.1416 \cdot 12} - (2 \cdot 10^{2})}

20.0202m = \sqrt{\frac{3 \cdot 7550m³}{3.1416 \cdot 12m} - (2 \cdot {10m}^{2})}

20.0202 = \sqrt{\frac{3 \cdot 7550}{3.1416 \cdot 12} - (2 \cdot 10^{2})}

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Base Radius of Circular Hyperboloid given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r Base = \sqrt{\frac{3 \cdot 7550m³}{π \cdot 12m} - (2 \cdot {10m}^{2})}

Next Step Substitute values of Constants

∴

r Base = \sqrt{\frac{3 \cdot 7550m³}{3.1416 \cdot 12m} - (2 \cdot {10m}^{2})}

Next Step Prepare to Evaluate

∴

r Base = \sqrt{\frac{3 \cdot 7550}{3.1416 \cdot 12} - (2 \cdot 10^{2})}

Next Step Evaluate

∴

r Base = 20.0202375153719m

LAST Step Rounding Answer

∴

r Base = 20.0202m

Base Radius of Circular Hyperboloid given Volume Formula Elements

Variables

Constants

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

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

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

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 Base Radius of Circular Hyperboloid

Go Base Radius of Circular Hyperboloid

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

Base Radius of Circular Hyperboloid given Volume evaluator uses Base Radius of Circular Hyperboloid = sqrt((3*Volume of Circular Hyperboloid)/(pi*Height of Circular Hyperboloid)-(2*Skirt Radius of Circular Hyperboloid^2)) to evaluate the Base Radius of Circular Hyperboloid, The Base Radius of Circular Hyperboloid given Volume 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, calculated using volume of Circular Hyperboloid. Base Radius of Circular Hyperboloid is denoted by r_Base symbol.

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

FAQs on Base Radius of Circular Hyperboloid given Volume

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

The formula of Base Radius of Circular Hyperboloid given Volume is expressed as Base Radius of Circular Hyperboloid = sqrt((3*Volume of Circular Hyperboloid)/(pi*Height of Circular Hyperboloid)-(2*Skirt Radius of Circular Hyperboloid^2)). Here is an example- 20.02024 = sqrt((3*7550)/(pi*12)-(2*10^2)).

How to calculate Base Radius of Circular Hyperboloid given Volume?

With Volume of Circular Hyperboloid (V), Height of Circular Hyperboloid (h) & Skirt Radius of Circular Hyperboloid (r_Skirt) we can find Base Radius of Circular Hyperboloid given Volume using the formula - Base Radius of Circular Hyperboloid = sqrt((3*Volume of Circular Hyperboloid)/(pi*Height of Circular Hyperboloid)-(2*Skirt Radius of Circular Hyperboloid^2)). This formula also uses Archimedes' constant and 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=Skirt Radius of Circular Hyperboloid*sqrt(1+(Height of Circular Hyperboloid^2)/(4*Shape Parameter of Circular Hyperboloid^2))

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

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

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

Base Radius 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 Base Radius of Circular Hyperboloid given Volume can be measured.

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Base Radius of Circular Hyperboloid given Volume Formula

​GoBase Radius of Circular Hyperboloid Formula

Base Radius of Circular Hyperboloid given Volume Example

Base Radius of Circular Hyperboloid given Volume Solution

Base Radius of Circular Hyperboloid given Volume 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 given Volume?

FAQs on Base Radius of Circular Hyperboloid given Volume

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GoBase Radius of Circular Hyperboloid Formula