Radius of Paraboloid formula given Surface to Volume Ratio Calculator

✖Lateral Surface Area of Paraboloid is the total quantity of two dimensional plane enclosed on the lateral curved surface of Paraboloid.ⓘ Lateral Surface Area of Paraboloid [LSA]			+10% -10%
✖Surface to Volume Ratio of Paraboloid is the numerical ratio of the total surface area of the Paraboloid to the volume of the Paraboloid.ⓘ Surface to Volume Ratio of Paraboloid [R_A/V]			+10% -10%
✖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%

✖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 formula given Surface to Volume Ratio [r]

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Formula

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Radius of Paraboloid formula given Surface to Volume Ratio

Formula

`"r" = sqrt("LSA"/((1/2*"R"_{"A/V"}*pi*"h")-pi))`

Example

`"4.886025m"=sqrt("1050m²"/((1/2*"0.6m⁻¹"*pi*"50m")-pi))`

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Radius of Paraboloid formula given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Paraboloid = sqrt(Lateral Surface Area of Paraboloid/((1/2*Surface to Volume Ratio of Paraboloid*pi*Height of Paraboloid)-pi))
r = sqrt(LSA/((1/2*R_A/V*pi*h)-pi))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Lateral Surface Area of Paraboloid - (Measured in Square Meter) - Lateral Surface Area of Paraboloid is the total quantity of two dimensional plane enclosed on the lateral curved surface of Paraboloid.
Surface to Volume Ratio of Paraboloid - (Measured in 1 per Meter) - Surface to Volume Ratio of Paraboloid is the numerical ratio of the total surface area of the Paraboloid to the volume 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.

STEP 1: Convert Input(s) to Base Unit

Lateral Surface Area of Paraboloid: 1050 Square Meter --> 1050 Square Meter No Conversion Required
Surface to Volume Ratio of Paraboloid: 0.6 1 per Meter --> 0.6 1 per Meter No Conversion Required
Height of Paraboloid: 50 Meter --> 50 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = sqrt(LSA/((1/2*R_A/V*pi*h)-pi)) --> sqrt(1050/((1/2*0.6*pi*50)-pi))

Evaluating ... ...

r = 4.8860251190292

STEP 3: Convert Result to Output's Unit

4.8860251190292 Meter --> No Conversion Required

FINAL ANSWER

4.8860251190292 ≈ 4.886025 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

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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)

Radius of Paraboloid formula given Surface to Volume Ratio Formula

Radius of Paraboloid = sqrt(Lateral Surface Area of Paraboloid/((1/2*Surface to Volume Ratio of Paraboloid*pi*Height of Paraboloid)-pi))
r = sqrt(LSA/((1/2*R_A/V*pi*h)-pi))

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 formula given Surface to Volume Ratio?

Radius of Paraboloid formula given Surface to Volume Ratio calculator uses Radius of Paraboloid = sqrt(Lateral Surface Area of Paraboloid/((1/2*Surface to Volume Ratio of Paraboloid*pi*Height of Paraboloid)-pi)) to calculate the Radius of Paraboloid, Radius of Paraboloid formula given Surface to Volume Ratio 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, calculated using the surface to volume ratio of Paraboloid. Radius of Paraboloid is denoted by r symbol.

How to calculate Radius of Paraboloid formula given Surface to Volume Ratio using this online calculator? To use this online calculator for Radius of Paraboloid formula given Surface to Volume Ratio, enter Lateral Surface Area of Paraboloid (LSA), Surface to Volume Ratio of Paraboloid (R_A/V) & Height of Paraboloid (h) and hit the calculate button. Here is how the Radius of Paraboloid formula given Surface to Volume Ratio calculation can be explained with given input values -> 4.886025 = sqrt(1050/((1/2*0.6*pi*50)-pi)).

FAQ

What is Radius of Paraboloid formula given Surface to Volume Ratio?

Radius of Paraboloid formula given Surface to Volume Ratio 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, calculated using the surface to volume ratio of Paraboloid and is represented as r = sqrt(LSA/((1/2*R_A/V*pi*h)-pi)) or Radius of Paraboloid = sqrt(Lateral Surface Area of Paraboloid/((1/2*Surface to Volume Ratio of Paraboloid*pi*Height of Paraboloid)-pi)). Lateral Surface Area of Paraboloid is the total quantity of two dimensional plane enclosed on the lateral curved surface of Paraboloid, Surface to Volume Ratio of Paraboloid is the numerical ratio of the total surface area of the Paraboloid to the volume of the Paraboloid & Height of Paraboloid is the vertical distance from the centre of the circular face to the local extreme point of the Paraboloid.

How to calculate Radius of Paraboloid formula given Surface to Volume Ratio?

Radius of Paraboloid formula given Surface to Volume Ratio 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, calculated using the surface to volume ratio of Paraboloid is calculated using Radius of Paraboloid = sqrt(Lateral Surface Area of Paraboloid/((1/2*Surface to Volume Ratio of Paraboloid*pi*Height of Paraboloid)-pi)). To calculate Radius of Paraboloid formula given Surface to Volume Ratio, you need Lateral Surface Area of Paraboloid (LSA), Surface to Volume Ratio of Paraboloid (R_A/V) & Height of Paraboloid (h). With our tool, you need to enter the respective value for Lateral Surface Area of Paraboloid, Surface to Volume Ratio of Paraboloid & Height 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 Lateral Surface Area of Paraboloid, Surface to Volume Ratio of Paraboloid & Height of Paraboloid. We can use 4 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(Height of Paraboloid/Shape Parameter of Paraboloid)
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)

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