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Lateral Surface Area of Paraboloid given Surface to Volume Ratio Formula

GoLateral Surface Area of Paraboloid given Total Surface Area Formula

GoLateral Surface Area of Paraboloid Formula

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

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

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

Lateral Surface Area of Paraboloid given Surface to Volume Ratio Example

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

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

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

1099.5574 = \frac{1}{2} \cdot 3.1416 \cdot 5^{2} \cdot 50 \cdot 0.6 - 3.1416 \cdot 5^{2}

1099.5574m² = \frac{1}{2} \cdot 3.1416 \cdot {5m}^{2} \cdot 50m \cdot 0.6m⁻¹ - 3.1416 \cdot {5m}^{2}

1099.5574 = \frac{1}{2} \cdot 3.1416 \cdot 5^{2} \cdot 50 \cdot 0.6 - 3.1416 \cdot 5^{2}

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Lateral Surface Area of Paraboloid given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LSA = \frac{1}{2} \cdot π \cdot {5m}^{2} \cdot 50m \cdot 0.6m⁻¹ - π \cdot {5m}^{2}

Next Step Substitute values of Constants

∴

LSA = \frac{1}{2} \cdot 3.1416 \cdot {5m}^{2} \cdot 50m \cdot 0.6m⁻¹ - 3.1416 \cdot {5m}^{2}

Next Step Prepare to Evaluate

∴

LSA = \frac{1}{2} \cdot 3.1416 \cdot 5^{2} \cdot 50 \cdot 0.6 - 3.1416 \cdot 5^{2}

Next Step Evaluate

∴

LSA = 1099.55742875643m²

LAST Step Rounding Answer

∴

LSA = 1099.5574m²

Lateral Surface Area of Paraboloid given Surface to Volume Ratio Formula Elements

Variables

Constants

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

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

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 Lateral Surface Area of Paraboloid

Go Lateral Surface Area of Paraboloid given Total Surface Area

LSA = TSA - π \cdot r^{2}

Go Lateral Surface Area of Paraboloid

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

Go Lateral Surface Area of Paraboloid given Volume

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

Go Lateral Surface Area of Paraboloid given Radius

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

How to Evaluate Lateral Surface Area of Paraboloid given Surface to Volume Ratio?

Lateral Surface Area of Paraboloid given Surface to Volume Ratio evaluator uses Lateral Surface Area of Paraboloid = 1/2*pi*Radius of Paraboloid^2*Height of Paraboloid*Surface to Volume Ratio of Paraboloid-pi*Radius of Paraboloid^2 to evaluate the Lateral Surface Area of Paraboloid, The Lateral Surface Area of Paraboloid given Surface to Volume Ratio formula is defined as the total quantity of two dimensional plane enclosed on the lateral curved surface of Paraboloid, calculated using surface to volume ratio of Paraboloid. Lateral Surface Area of Paraboloid is denoted by LSA symbol.

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

FAQs on Lateral Surface Area of Paraboloid given Surface to Volume Ratio

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

The formula of Lateral Surface Area of Paraboloid given Surface to Volume Ratio is expressed as Lateral Surface Area of Paraboloid = 1/2*pi*Radius of Paraboloid^2*Height of Paraboloid*Surface to Volume Ratio of Paraboloid-pi*Radius of Paraboloid^2. Here is an example- 1099.557 = 1/2*pi*5^2*50*0.6-pi*5^2.

How to calculate Lateral Surface Area of Paraboloid given Surface to Volume Ratio?

With Radius of Paraboloid (r), Height of Paraboloid (h) & Surface to Volume Ratio of Paraboloid (R_A/V) we can find Lateral Surface Area of Paraboloid given Surface to Volume Ratio using the formula - Lateral Surface Area of Paraboloid = 1/2*pi*Radius of Paraboloid^2*Height of Paraboloid*Surface to Volume Ratio of Paraboloid-pi*Radius of Paraboloid^2. This formula also uses Archimedes' constant .

What are the other ways to Calculate Lateral Surface Area of Paraboloid?

Here are the different ways to Calculate Lateral Surface Area of Paraboloid-

Lateral Surface Area of Paraboloid=Total Surface Area of Paraboloid-pi*Radius of Paraboloid^2
Lateral Surface Area of Paraboloid=(pi*Radius of Paraboloid)/(6*Height of Paraboloid^2)*((Radius of Paraboloid^2+4*Height of Paraboloid^2)^(3/2)-Radius of Paraboloid^3)
Lateral Surface Area of Paraboloid=(pi*sqrt((2*Volume of Paraboloid)/(pi*Height of Paraboloid)))/(6*Height of Paraboloid^2)*(((2*Volume of Paraboloid)/(pi*Height of Paraboloid)+4*Height of Paraboloid^2)^(3/2)-(2*Volume of Paraboloid)/(pi*Height of Paraboloid)^(3/2))

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

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

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

Lateral Surface Area of Paraboloid given Surface to Volume Ratio is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Lateral Surface Area of Paraboloid given Surface to Volume Ratio can be measured.

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Lateral Surface Area of Paraboloid given Surface to Volume Ratio Formula

​GoLateral Surface Area of Paraboloid given Total Surface Area Formula

​GoLateral Surface Area of Paraboloid Formula

Lateral Surface Area of Paraboloid given Surface to Volume Ratio Example

Lateral Surface Area of Paraboloid given Surface to Volume Ratio Solution

Lateral Surface Area of Paraboloid given Surface to Volume Ratio Formula Elements

Other Formulas to find Lateral Surface Area of Paraboloid

How to Evaluate Lateral Surface Area of Paraboloid given Surface to Volume Ratio?

FAQs on Lateral Surface Area of Paraboloid given Surface to Volume Ratio

Variable Name

GoLateral Surface Area of Paraboloid given Total Surface Area Formula

GoLateral Surface Area of Paraboloid Formula