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Height of Paraboloid given Lateral Surface Area Formula

GoHeight of Paraboloid given Volume Formula

GoHeight of Paraboloid given Surface to Volume Ratio Formula

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

h = \frac{1}{4 \cdot p} \cdot ({(\frac{6 \cdot LSA \cdot p^{2}}{π} + 1)}^{\frac{2}{3}} - 1)

h - Height of Paraboloid?p - Shape Parameter of Paraboloid?LSA - Lateral Surface Area of Paraboloid?π - Archimedes' constant?

Height of Paraboloid given Lateral Surface Area Example

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

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

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

49.9683 = \frac{1}{4 \cdot 2} \cdot ({(\frac{6 \cdot 1050 \cdot 2^{2}}{3.1416} + 1)}^{\frac{2}{3}} - 1)

49.9683m = \frac{1}{4 \cdot 2} \cdot ({(\frac{6 \cdot 1050m² \cdot 2^{2}}{3.1416} + 1)}^{\frac{2}{3}} - 1)

49.9683 = \frac{1}{4 \cdot 2} \cdot ({(\frac{6 \cdot 1050 \cdot 2^{2}}{3.1416} + 1)}^{\frac{2}{3}} - 1)

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Height of Paraboloid given Lateral Surface Area Solution

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

FIRST Step Consider the formula

h = \frac{1}{4 \cdot p} \cdot ({(\frac{6 \cdot LSA \cdot p^{2}}{π} + 1)}^{\frac{2}{3}} - 1)

Next Step Substitute values of Variables

∴

h = \frac{1}{4 \cdot 2} \cdot ({(\frac{6 \cdot 1050m² \cdot 2^{2}}{π} + 1)}^{\frac{2}{3}} - 1)

Next Step Substitute values of Constants

∴

h = \frac{1}{4 \cdot 2} \cdot ({(\frac{6 \cdot 1050m² \cdot 2^{2}}{3.1416} + 1)}^{\frac{2}{3}} - 1)

Next Step Prepare to Evaluate

∴

h = \frac{1}{4 \cdot 2} \cdot ({(\frac{6 \cdot 1050 \cdot 2^{2}}{3.1416} + 1)}^{\frac{2}{3}} - 1)

Next Step Evaluate

∴

h = 49.9683278457361m

LAST Step Rounding Answer

∴

h = 49.9683m

Height of Paraboloid given Lateral Surface Area Formula Elements

Variables

Constants

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

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

Other Formulas to find Height of Paraboloid

Go Height of Paraboloid given Volume

h = \frac{2 \cdot V}{π \cdot r^{2}}

Go Height of Paraboloid given Surface to Volume Ratio

h = \frac{LSA + π \cdot r^{2}}{\frac{1}{2} \cdot π \cdot r^{2} \cdot R A/V}

Go Height of Paraboloid given Volume, Lateral Surface Area and Total Surface Area

h = \frac{2 \cdot V}{TSA - LSA}

Go Height of Paraboloid

h = p \cdot r^{2}

How to Evaluate Height of Paraboloid given Lateral Surface Area?

Height of Paraboloid given Lateral Surface Area evaluator uses Height of Paraboloid = 1/(4*Shape Parameter of Paraboloid)*(((6*Lateral Surface Area of Paraboloid*Shape Parameter of Paraboloid^2)/pi+1)^(2/3)-1) to evaluate the Height of Paraboloid, The Height of Paraboloid given Lateral Surface Area formula is defined as the vertical distance from the centre of the circular face to the local extreme point of the Paraboloid, calculated using lateral surface area of Paraboloid. Height of Paraboloid is denoted by h symbol.

How to evaluate Height of Paraboloid given Lateral Surface Area using this online evaluator? To use this online evaluator for Height 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 Height of Paraboloid given Lateral Surface Area

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

The formula of Height of Paraboloid given Lateral Surface Area is expressed as Height of Paraboloid = 1/(4*Shape Parameter of Paraboloid)*(((6*Lateral Surface Area of Paraboloid*Shape Parameter of Paraboloid^2)/pi+1)^(2/3)-1). Here is an example- 49.96833 = 1/(4*2)*(((6*1050*2^2)/pi+1)^(2/3)-1).

How to calculate Height of Paraboloid given Lateral Surface Area?

With Shape Parameter of Paraboloid (p) & Lateral Surface Area of Paraboloid (LSA) we can find Height of Paraboloid given Lateral Surface Area using the formula - Height of Paraboloid = 1/(4*Shape Parameter of Paraboloid)*(((6*Lateral Surface Area of Paraboloid*Shape Parameter of Paraboloid^2)/pi+1)^(2/3)-1). This formula also uses Archimedes' constant .

What are the other ways to Calculate Height of Paraboloid?

Here are the different ways to Calculate Height of Paraboloid-

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

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

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

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

Height 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 Height of Paraboloid given Lateral Surface Area can be measured.

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Height of Paraboloid given Lateral Surface Area Formula

​GoHeight of Paraboloid given Volume Formula

​GoHeight of Paraboloid given Surface to Volume Ratio Formula

Height of Paraboloid given Lateral Surface Area Example

Height of Paraboloid given Lateral Surface Area Solution

Height of Paraboloid given Lateral Surface Area Formula Elements

Other Formulas to find Height of Paraboloid

How to Evaluate Height of Paraboloid given Lateral Surface Area?

FAQs on Height of Paraboloid given Lateral Surface Area

Variable Name

GoHeight of Paraboloid given Volume Formula

GoHeight of Paraboloid given Surface to Volume Ratio Formula