Radius of Paraboloid Calculator

✖Height of Paraboloid is the vertical distance from the centre of the circular face to the local extreme point of the Paraboloid.ⓘ Height of Paraboloid [h]			+10% -10%
✖Shape Parameter of Paraboloid is the total length of the boundary or outer edge of Paraboloid.ⓘ Shape Parameter of Paraboloid [p]			+10% -10%

✖Radius of Paraboloid is defined as the length of the straight line from the center to any point on the circumference of the circular face of the Paraboloid.ⓘ Radius of Paraboloid [r]

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Formula

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Radius of Paraboloid

Formula

`"r" = sqrt("h"/"p")`

Example

`"5m"=sqrt("50m"/"2")`

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Radius of Paraboloid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Paraboloid = sqrt(Height of Paraboloid/Shape Parameter of Paraboloid)
r = sqrt(h/p)
This formula uses 1 Functions, 3 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

Radius of Paraboloid - (Measured in Meter) - Radius of Paraboloid is defined as the length of the straight line from the center to any point on the circumference of the circular face of the Paraboloid.
Height of Paraboloid - (Measured in Meter) - Height of Paraboloid is the vertical distance from the centre of the circular face to the local extreme point of the Paraboloid.
Shape Parameter of Paraboloid - Shape Parameter of Paraboloid is the total length of the boundary or outer edge of Paraboloid.

STEP 1: Convert Input(s) to Base Unit

Height of Paraboloid: 50 Meter --> 50 Meter No Conversion Required
Shape Parameter of Paraboloid: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = sqrt(h/p) --> sqrt(50/2)

Evaluating ... ...

r = 5

STEP 3: Convert Result to Output's Unit

5 Meter --> No Conversion Required

FINAL ANSWER

5 Meter <-- Radius of Paraboloid

(Calculation completed in 00.004 seconds)

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Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

Divanshi Jain has created this Calculator and 300+ more calculators!

Verified by Dhruv Walia

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

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< 5 Radius of Paraboloid Calculators

Radius of Paraboloid formula given Surface to Volume Ratio

Go Radius of Paraboloid = sqrt(Lateral Surface Area of Paraboloid/((1/2*Surface to Volume Ratio of Paraboloid*pi*Height of Paraboloid)-pi))

Radius of Paraboloid given Lateral Surface Area

Go Radius of Paraboloid = 1/(2*Shape Parameter of Paraboloid)*sqrt(((6*Lateral Surface Area of Paraboloid*Shape Parameter of Paraboloid^2)/pi+1)^(2/3)-1)

Radius of Paraboloid given Total Surface Area and Lateral Surface Area

Go Radius of Paraboloid = sqrt((Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)/pi)

Radius of Paraboloid given Volume

Go Radius of Paraboloid = sqrt((2*Volume of Paraboloid)/(pi*Height of Paraboloid))

Radius of Paraboloid

Go Radius of Paraboloid = sqrt(Height of Paraboloid/Shape Parameter of Paraboloid)

< 3 Radius of Paraboloid Calculators

Radius of Paraboloid given Total Surface Area and Lateral Surface Area

Go Radius of Paraboloid = sqrt((Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)/pi)

Radius of Paraboloid given Volume

Go Radius of Paraboloid = sqrt((2*Volume of Paraboloid)/(pi*Height of Paraboloid))

Radius of Paraboloid

Go Radius of Paraboloid = sqrt(Height of Paraboloid/Shape Parameter of Paraboloid)

Radius of Paraboloid Formula

Radius of Paraboloid = sqrt(Height of Paraboloid/Shape Parameter of Paraboloid)
r = sqrt(h/p)

What is Paraboloid?

In geometry, a Paraboloid is a quadric surface that has exactly one axis of symmetry and no center of symmetry. The term "paraboloid" is derived from parabola, which refers to a conic section that has a similar property of symmetry. Every plane section of a paraboloid by a plane parallel to the axis of symmetry is a parabola. The paraboloid is hyperbolic if every other plane section is either a hyperbola, or two crossing lines (in the case of a section by a tangent plane). The paraboloid is elliptic if every other nonempty plane section is either an ellipse, or a single point (in the case of a section by a tangent plane). A paraboloid is either elliptic or hyperbolic.

How to Calculate Radius of Paraboloid?

Radius of Paraboloid calculator uses Radius of Paraboloid = sqrt(Height of Paraboloid/Shape Parameter of Paraboloid) to calculate the Radius of Paraboloid, The Radius of Paraboloid formula is defined as the length of the straight line from the center to any point on the circumference of the circular face of the Paraboloid. Radius of Paraboloid is denoted by r symbol.

How to calculate Radius of Paraboloid using this online calculator? To use this online calculator for Radius of Paraboloid, enter Height of Paraboloid (h) & Shape Parameter of Paraboloid (p) and hit the calculate button. Here is how the Radius of Paraboloid calculation can be explained with given input values -> 5 = sqrt(50/2).

FAQ

What is Radius of Paraboloid?

The Radius of Paraboloid formula is defined as the length of the straight line from the center to any point on the circumference of the circular face of the Paraboloid and is represented as r = sqrt(h/p) or Radius of Paraboloid = sqrt(Height of Paraboloid/Shape Parameter of Paraboloid). Height of Paraboloid is the vertical distance from the centre of the circular face to the local extreme point of the Paraboloid & Shape Parameter of Paraboloid is the total length of the boundary or outer edge of Paraboloid.

How to calculate Radius of Paraboloid?

The Radius of Paraboloid formula is defined as the length of the straight line from the center to any point on the circumference of the circular face of the Paraboloid is calculated using Radius of Paraboloid = sqrt(Height of Paraboloid/Shape Parameter of Paraboloid). To calculate Radius of Paraboloid, you need Height of Paraboloid (h) & Shape Parameter of Paraboloid (p). With our tool, you need to enter the respective value for Height of Paraboloid & Shape Parameter of Paraboloid 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 Radius of Paraboloid?

In this formula, Radius of Paraboloid uses Height of Paraboloid & Shape Parameter of Paraboloid. We can use 6 other way(s) to calculate the same, which is/are as follows -

Radius of Paraboloid = sqrt((Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)/pi)
Radius of Paraboloid = sqrt((2*Volume of Paraboloid)/(pi*Height of Paraboloid))
Radius of Paraboloid = sqrt(Lateral Surface Area of Paraboloid/((1/2*Surface to Volume Ratio of Paraboloid*pi*Height of Paraboloid)-pi))
Radius of Paraboloid = 1/(2*Shape Parameter of Paraboloid)*sqrt(((6*Lateral Surface Area of Paraboloid*Shape Parameter of Paraboloid^2)/pi+1)^(2/3)-1)
Radius of Paraboloid = sqrt((Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)/pi)
Radius of Paraboloid = sqrt((2*Volume of Paraboloid)/(pi*Height of Paraboloid))

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