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Height of Paraboloid given Surface to Volume Ratio Formula

GoHeight of Paraboloid given Volume Formula

GoHeight of Paraboloid given Volume, Lateral Surface Area and Total Surface Area 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{LSA + π \cdot r^{2}}{\frac{1}{2} \cdot π \cdot r^{2} \cdot R A/V}

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

Height of Paraboloid given Surface to Volume Ratio Example

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

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

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

47.8967 = \frac{1050 + 3.1416 \cdot 5^{2}}{\frac{1}{2} \cdot 3.1416 \cdot 5^{2} \cdot 0.6}

47.8967m = \frac{1050m² + 3.1416 \cdot {5m}^{2}}{\frac{1}{2} \cdot 3.1416 \cdot {5m}^{2} \cdot 0.6m⁻¹}

47.8967 = \frac{1050 + 3.1416 \cdot 5^{2}}{\frac{1}{2} \cdot 3.1416 \cdot 5^{2} \cdot 0.6}

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Height of Paraboloid given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{1050m² + π \cdot {5m}^{2}}{\frac{1}{2} \cdot π \cdot {5m}^{2} \cdot 0.6m⁻¹}

Next Step Substitute values of Constants

∴

h = \frac{1050m² + 3.1416 \cdot {5m}^{2}}{\frac{1}{2} \cdot 3.1416 \cdot {5m}^{2} \cdot 0.6m⁻¹}

Next Step Prepare to Evaluate

∴

h = \frac{1050 + 3.1416 \cdot 5^{2}}{\frac{1}{2} \cdot 3.1416 \cdot 5^{2} \cdot 0.6}

Next Step Evaluate

∴

h = 47.896717399064m

LAST Step Rounding Answer

∴

h = 47.8967m

Height of Paraboloid given Surface to Volume Ratio 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

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

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

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

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 Volume, Lateral Surface Area and Total Surface Area

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

Go Height of Paraboloid

h = p \cdot r^{2}

Go Height of Paraboloid given Lateral Surface Area

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

How to Evaluate Height of Paraboloid given Surface to Volume Ratio?

Height of Paraboloid given Surface to Volume Ratio evaluator uses 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) to evaluate the Height of Paraboloid, The Height of Paraboloid given Surface to Volume Ratio formula is defined as the vertical distance from the centre of the circular face to the local extreme point of the Paraboloid, calculated using surface to volume ratio. Height of Paraboloid is denoted by h symbol.

How to evaluate Height of Paraboloid given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Height of Paraboloid given Surface to Volume Ratio, enter Lateral Surface Area of Paraboloid (LSA), Radius of Paraboloid (r) & Surface to Volume Ratio of Paraboloid (R_A/V) and hit the calculate button.

FAQs on Height of Paraboloid given Surface to Volume Ratio

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

The formula of Height of Paraboloid given Surface to Volume Ratio is expressed as 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). Here is an example- 47.89672 = (1050+pi*5^2)/(1/2*pi*5^2*0.6).

How to calculate Height of Paraboloid given Surface to Volume Ratio?

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

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

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

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

Height of Paraboloid 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 Height of Paraboloid given Surface to Volume Ratio can be measured.

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Height of Paraboloid given Surface to Volume Ratio Formula

​GoHeight of Paraboloid given Volume Formula

​GoHeight of Paraboloid given Volume, Lateral Surface Area and Total Surface Area Formula

Height of Paraboloid given Surface to Volume Ratio Example

Height of Paraboloid given Surface to Volume Ratio Solution

Height of Paraboloid given Surface to Volume Ratio Formula Elements

Other Formulas to find Height of Paraboloid

How to Evaluate Height of Paraboloid given Surface to Volume Ratio?

FAQs on Height of Paraboloid given Surface to Volume Ratio

Variable Name

GoHeight of Paraboloid given Volume Formula

GoHeight of Paraboloid given Volume, Lateral Surface Area and Total Surface Area Formula