FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Radius of Paraboloid formula given Surface to Volume Ratio Formula

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

GoRadius of Paraboloid given Volume Formula

Fx Copy

LaTeX Copy

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

r - Radius of Paraboloid?LSA - Lateral Surface Area of Paraboloid?R_A/V - Surface to Volume Ratio of Paraboloid?h - Height of Paraboloid?π - Archimedes' constant?

Radius of Paraboloid formula given Surface to Volume Ratio Example

With values

With units

Only example

Here is how the Radius of Paraboloid formula given Surface to Volume Ratio equation looks like with Values.

Here is how the Radius of Paraboloid formula given Surface to Volume Ratio equation looks like with Units.

Here is how the Radius of Paraboloid formula given Surface to Volume Ratio equation looks like.

4.886 = \sqrt{\frac{1050}{(\frac{1}{2} \cdot 0.6 \cdot 3.1416 \cdot 50) - 3.1416}}

4.886m = \sqrt{\frac{1050m²}{(\frac{1}{2} \cdot 0.6m⁻¹ \cdot 3.1416 \cdot 50m) - 3.1416}}

4.886 = \sqrt{\frac{1050}{(\frac{1}{2} \cdot 0.6 \cdot 3.1416 \cdot 50) - 3.1416}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Radius of Paraboloid formula given Surface to Volume Ratio

Radius of Paraboloid formula given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Radius of Paraboloid formula given Surface to Volume Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r = \sqrt{\frac{1050m²}{(\frac{1}{2} \cdot 0.6m⁻¹ \cdot π \cdot 50m) - π}}

Next Step Substitute values of Constants

∴

r = \sqrt{\frac{1050m²}{(\frac{1}{2} \cdot 0.6m⁻¹ \cdot 3.1416 \cdot 50m) - 3.1416}}

Next Step Prepare to Evaluate

∴

r = \sqrt{\frac{1050}{(\frac{1}{2} \cdot 0.6 \cdot 3.1416 \cdot 50) - 3.1416}}

Next Step Evaluate

∴

r = 4.8860251190292m

LAST Step Rounding Answer

∴

r = 4.886m

Radius of Paraboloid formula given Surface to Volume Ratio 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

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

Surface to Volume Ratio 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.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Paraboloid

Height of Paraboloid

Height of Paraboloid is the vertical distance from the centre of the circular face to the local extreme point of the Paraboloid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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

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

Go Radius of Paraboloid given Lateral Surface Area

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

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

Radius of Paraboloid formula given Surface to Volume Ratio evaluator uses Radius of Paraboloid = sqrt(Lateral Surface Area of Paraboloid/((1/2*Surface to Volume Ratio of Paraboloid*pi*Height of Paraboloid)-pi)) to evaluate 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 evaluate Radius of Paraboloid formula given Surface to Volume Ratio using this online evaluator? To use this online evaluator 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.

FAQs on Radius of Paraboloid formula given Surface to Volume Ratio

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

The formula of Radius of Paraboloid formula given Surface to Volume Ratio is expressed as Radius of Paraboloid = sqrt(Lateral Surface Area of Paraboloid/((1/2*Surface to Volume Ratio of Paraboloid*pi*Height of Paraboloid)-pi)). Here is an example- 4.886025 = sqrt(1050/((1/2*0.6*pi*50)-pi)).

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

With Lateral Surface Area of Paraboloid (LSA), Surface to Volume Ratio of Paraboloid (R_A/V) & Height of Paraboloid (h) we can find Radius of Paraboloid formula given Surface to Volume Ratio using the formula - Radius of Paraboloid = sqrt(Lateral Surface Area of Paraboloid/((1/2*Surface to Volume Ratio of Paraboloid*pi*Height of Paraboloid)-pi)). 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(Height of Paraboloid/Shape Parameter of Paraboloid)

Can the Radius of Paraboloid formula given Surface to Volume Ratio be negative?

No, the Radius of Paraboloid formula given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Radius of Paraboloid formula given Surface to Volume Ratio?

Radius of Paraboloid formula given Surface to Volume Ratio 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 formula given Surface to Volume Ratio can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Radius of Paraboloid formula given Surface to Volume Ratio Formula

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

​GoRadius of Paraboloid given Volume Formula

Radius of Paraboloid formula given Surface to Volume Ratio Example

Radius of Paraboloid formula given Surface to Volume Ratio Solution

Radius of Paraboloid formula given Surface to Volume Ratio Formula Elements

Other Formulas to find Radius of Paraboloid

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

FAQs on Radius of Paraboloid formula given Surface to Volume Ratio

Variable Name

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

GoRadius of Paraboloid given Volume Formula