Shape Parameter of Circular Hyperboloid Calculator

✖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%
✖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]			+10% -10%
✖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%

✖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]

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Shape Parameter of Circular Hyperboloid Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
p = sqrt(h^2/(4*(r_Base^2/r_Skirt^2-1)))
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

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Height of Circular Hyperboloid: 12 Meter --> 12 Meter No Conversion Required
Base Radius of Circular Hyperboloid: 20 Meter --> 20 Meter No Conversion Required
Skirt Radius of Circular Hyperboloid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p = sqrt(h^2/(4*(r_Base^2/r_Skirt^2-1))) --> sqrt(12^2/(4*(20^2/10^2-1)))

Evaluating ... ...

p = 3.46410161513775

STEP 3: Convert Result to Output's Unit

3.46410161513775 Meter --> No Conversion Required

FINAL ANSWER

3.46410161513775 ≈ 3.464102 Meter <-- Shape Parameter of Circular Hyperboloid

(Calculation completed in 00.004 seconds)

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Created by Nikhil

Mumbai University (DJSCE), Mumbai

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< Shape Parameter of Circular Hyperboloid Calculators

Shape Parameter of Circular Hyperboloid given Volume

LaTeX Go 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))

Shape Parameter of Circular Hyperboloid

LaTeX Go 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)))

Shape Parameter 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 Shape Parameter of Circular Hyperboloid?

Shape Parameter of Circular Hyperboloid calculator uses 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))) to calculate the Shape Parameter of Circular Hyperboloid, The Shape Parameter of Circular Hyperboloid 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. Shape Parameter of Circular Hyperboloid is denoted by p symbol.

How to calculate Shape Parameter of Circular Hyperboloid using this online calculator? To use this online calculator for Shape Parameter of Circular Hyperboloid, enter Height of Circular Hyperboloid (h), Base Radius of Circular Hyperboloid (r_Base) & Skirt Radius of Circular Hyperboloid (r_Skirt) and hit the calculate button. Here is how the Shape Parameter of Circular Hyperboloid calculation can be explained with given input values -> 3.464102 = sqrt(12^2/(4*(20^2/10^2-1))).

FAQ

What is Shape Parameter of Circular Hyperboloid?

The Shape Parameter of Circular Hyperboloid 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 and is represented as p = sqrt(h^2/(4*(r_Base^2/r_Skirt^2-1))) or 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))). Height of Circular Hyperboloid is the vertical distance between the top and bottom circular faces of the 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 & 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.

How to calculate Shape Parameter of Circular Hyperboloid?

The Shape Parameter of Circular Hyperboloid 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 is calculated using 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))). To calculate Shape Parameter of Circular Hyperboloid, you need Height of Circular Hyperboloid (h), Base Radius of Circular Hyperboloid (r_Base) & Skirt Radius of Circular Hyperboloid (r_Skirt). With our tool, you need to enter the respective value for Height of Circular Hyperboloid, Base Radius of Circular Hyperboloid & Skirt Radius 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 Shape Parameter of Circular Hyperboloid?

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

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))

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