Base Radius of Circular Hyperboloid Calculator

✖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.ⓘ Skirt Radius of Circular Hyperboloid [r_Skirt]			+10% -10%
✖Height of Circular Hyperboloid is the vertical distance between the top and bottom circular faces of the Circular Hyperboloid.ⓘ Height of Circular Hyperboloid [h]			+10% -10%
✖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.ⓘ Shape Parameter of Circular Hyperboloid [p]			+10% -10%

✖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.ⓘ Base Radius of Circular Hyperboloid [r_Base]

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Base Radius of Circular Hyperboloid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Radius of Circular Hyperboloid = Skirt Radius of Circular Hyperboloid*sqrt(1+(Height of Circular Hyperboloid^2)/(4*Shape Parameter of Circular Hyperboloid^2))
r_Base = r_Skirt*sqrt(1+(h^2)/(4*p^2))
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

Base Radius of Circular Hyperboloid - (Measured in Meter) - 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.
Skirt Radius of Circular Hyperboloid - (Measured in Meter) - 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.
Height of Circular Hyperboloid - (Measured in Meter) - Height of Circular Hyperboloid is the vertical distance between the top and bottom circular faces of the Circular Hyperboloid.
Shape Parameter of Circular Hyperboloid - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Skirt Radius of Circular Hyperboloid: 10 Meter --> 10 Meter No Conversion Required
Height of Circular Hyperboloid: 12 Meter --> 12 Meter No Conversion Required
Shape Parameter of Circular Hyperboloid: 3.5 Meter --> 3.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Base = r_Skirt*sqrt(1+(h^2)/(4*p^2)) --> 10*sqrt(1+(12^2)/(4*3.5^2))

Evaluating ... ...

r_Base = 19.8463485563569

STEP 3: Convert Result to Output's Unit

19.8463485563569 Meter --> No Conversion Required

FINAL ANSWER

19.8463485563569 ≈ 19.84635 Meter <-- Base Radius of Circular Hyperboloid

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< Radius of Hyperboloid Calculators

Skirt Radius of Circular Hyperboloid given Volume

LaTeX Go Skirt Radius of Circular Hyperboloid = sqrt(1/2*((3*Volume of Circular Hyperboloid)/(pi*Height of Circular Hyperboloid)-Base Radius of Circular Hyperboloid^2))

Base Radius of Circular Hyperboloid given Volume

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

Skirt Radius of Circular Hyperboloid

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

Base Radius of Circular Hyperboloid

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

Base Radius of Circular Hyperboloid Formula

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What is Circular Hyperboloid?

In geometry, a Hyperboloid of revolution, sometimes called a Circular Hyperboloid, is the surface generated by rotating a hyperbola around one of its principal axes. A Circular Hyperboloid is the surface obtained from a hyperboloid of revolution by deforming it by means of directional scalings, or more generally, of an affine transformation.

How to Calculate Base Radius of Circular Hyperboloid?

Base Radius of Circular Hyperboloid calculator 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 calculate 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 calculate Base Radius of Circular Hyperboloid using this online calculator? To use this online calculator 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. Here is how the Base Radius of Circular Hyperboloid calculation can be explained with given input values -> 19.84635 = 10*sqrt(1+(12^2)/(4*3.5^2)).

FAQ

What is 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 and is represented as r_Base = r_Skirt*sqrt(1+(h^2)/(4*p^2)) or Base Radius of Circular Hyperboloid = Skirt Radius of Circular Hyperboloid*sqrt(1+(Height of Circular Hyperboloid^2)/(4*Shape Parameter of Circular Hyperboloid^2)). 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, Height of Circular Hyperboloid is the vertical distance between the top and bottom circular faces of the 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.

How to calculate 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 is calculated using 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 calculate Base Radius of Circular Hyperboloid, you need Skirt Radius of Circular Hyperboloid (r_Skirt), Height of Circular Hyperboloid (h) & Shape Parameter of Circular Hyperboloid (p). With our tool, you need to enter the respective value for Skirt Radius of Circular Hyperboloid, Height of Circular Hyperboloid & Shape Parameter of Circular Hyperboloid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Base Radius of Circular Hyperboloid?

In this formula, Base Radius of Circular Hyperboloid uses Skirt Radius of Circular Hyperboloid, Height of Circular Hyperboloid & Shape Parameter of Circular Hyperboloid. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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