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Radius of Paraboloid given Lateral Surface Area Formula

GoRadius of Paraboloid given Total Surface Area and Lateral Surface Area Formula

GoRadius of Paraboloid given Volume Formula

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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. Check FAQs

r = \frac{1}{2 \cdot p} \cdot \sqrt{{(\frac{6 \cdot LSA \cdot p^{2}}{π} + 1)}^{\frac{2}{3}} - 1}

r - Radius of Paraboloid?p - Shape Parameter of Paraboloid?LSA - Lateral Surface Area of Paraboloid?π - Archimedes' constant?

Radius of Paraboloid given Lateral Surface Area Example

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Here is how the Radius of Paraboloid given Lateral Surface Area equation looks like with Values.

Here is how the Radius of Paraboloid given Lateral Surface Area equation looks like with Units.

Here is how the Radius of Paraboloid given Lateral Surface Area equation looks like.

4.9984 = \frac{1}{2 \cdot 2} \cdot \sqrt{{(\frac{6 \cdot 1050 \cdot 2^{2}}{3.1416} + 1)}^{\frac{2}{3}} - 1}

4.9984m = \frac{1}{2 \cdot 2} \cdot \sqrt{{(\frac{6 \cdot 1050m² \cdot 2^{2}}{3.1416} + 1)}^{\frac{2}{3}} - 1}

4.9984 = \frac{1}{2 \cdot 2} \cdot \sqrt{{(\frac{6 \cdot 1050 \cdot 2^{2}}{3.1416} + 1)}^{\frac{2}{3}} - 1}

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Radius of Paraboloid given Lateral Surface Area Solution

Follow our step by step solution on how to calculate Radius of Paraboloid given Lateral Surface Area?

FIRST Step Consider the formula

r = \frac{1}{2 \cdot p} \cdot \sqrt{{(\frac{6 \cdot LSA \cdot p^{2}}{π} + 1)}^{\frac{2}{3}} - 1}

Next Step Substitute values of Variables

∴

r = \frac{1}{2 \cdot 2} \cdot \sqrt{{(\frac{6 \cdot 1050m² \cdot 2^{2}}{π} + 1)}^{\frac{2}{3}} - 1}

Next Step Substitute values of Constants

∴

r = \frac{1}{2 \cdot 2} \cdot \sqrt{{(\frac{6 \cdot 1050m² \cdot 2^{2}}{3.1416} + 1)}^{\frac{2}{3}} - 1}

Next Step Prepare to Evaluate

∴

r = \frac{1}{2 \cdot 2} \cdot \sqrt{{(\frac{6 \cdot 1050 \cdot 2^{2}}{3.1416} + 1)}^{\frac{2}{3}} - 1}

Next Step Evaluate

∴

r = 4.99841614142601m

LAST Step Rounding Answer

∴

r = 4.9984m

Radius of Paraboloid given Lateral Surface Area Formula Elements

Variables

Constants

Functions

Radius of Paraboloid

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.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Paraboloid

Shape Parameter of Paraboloid

Shape Parameter of Paraboloid is the total length of the boundary or outer edge of Paraboloid.

Symbol: p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Shape Parameter of Paraboloid

Lateral Surface Area of Paraboloid

Lateral Surface Area of Paraboloid is the total quantity of two dimensional plane enclosed on the lateral curved surface of Paraboloid.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Paraboloid

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 Radius of Paraboloid

Go Radius of Paraboloid given Total Surface Area and Lateral Surface Area

r = \sqrt{\frac{TSA - LSA}{π}}

Go Radius of Paraboloid given Volume

r = \sqrt{\frac{2 \cdot V}{π \cdot h}}

Go Radius of Paraboloid formula given Surface to Volume Ratio

r = \sqrt{\frac{LSA}{(\frac{1}{2} \cdot R A/V \cdot π \cdot h) - π}}

Go Radius of Paraboloid

r = \sqrt{\frac{h}{p}}

How to Evaluate Radius of Paraboloid given Lateral Surface Area?

Radius of Paraboloid given Lateral Surface Area evaluator uses 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) to evaluate the Radius of Paraboloid, The Radius of Paraboloid given Lateral Surface Area 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, calculated using lateral surface area. Radius of Paraboloid is denoted by r symbol.

How to evaluate Radius of Paraboloid given Lateral Surface Area using this online evaluator? To use this online evaluator for Radius of Paraboloid given Lateral Surface Area, enter Shape Parameter of Paraboloid (p) & Lateral Surface Area of Paraboloid (LSA) and hit the calculate button.

FAQs on Radius of Paraboloid given Lateral Surface Area

What is the formula to find Radius of Paraboloid given Lateral Surface Area?

The formula of Radius of Paraboloid given Lateral Surface Area is expressed as 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). Here is an example- 4.998416 = 1/(2*2)*sqrt(((6*1050*2^2)/pi+1)^(2/3)-1).

How to calculate Radius of Paraboloid given Lateral Surface Area?

With Shape Parameter of Paraboloid (p) & Lateral Surface Area of Paraboloid (LSA) we can find Radius of Paraboloid given Lateral Surface Area using the formula - 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). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Radius of Paraboloid?

Here are the different ways to Calculate Radius of Paraboloid-

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))

Can the Radius of Paraboloid given Lateral Surface Area be negative?

No, the Radius of Paraboloid given Lateral Surface Area, measured in Length cannot be negative.

Which unit is used to measure Radius of Paraboloid given Lateral Surface Area?

Radius of Paraboloid given Lateral Surface Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius of Paraboloid given Lateral Surface Area can be measured.

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Radius of Paraboloid given Lateral Surface Area Formula

​GoRadius of Paraboloid given Total Surface Area and Lateral Surface Area Formula

​GoRadius of Paraboloid given Volume Formula

Radius of Paraboloid given Lateral Surface Area Example

Radius of Paraboloid given Lateral Surface Area Solution

Radius of Paraboloid given Lateral Surface Area Formula Elements

Other Formulas to find Radius of Paraboloid

How to Evaluate Radius of Paraboloid given Lateral Surface Area?

FAQs on Radius of Paraboloid given Lateral Surface Area

Variable Name

GoRadius of Paraboloid given Total Surface Area and Lateral Surface Area Formula

GoRadius of Paraboloid given Volume Formula