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Lateral Surface Area of Paraboloid Formula

GoLateral Surface Area of Paraboloid given Height Formula

GoLateral Surface Area of Paraboloid given Total Surface Area 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{π \cdot r}{6 \cdot h^{2}} \cdot ({(r^{2} + 4 \cdot h^{2})}^{\frac{3}{2}} - r^{3})

LSA - Lateral Surface Area of Paraboloid?r - Radius of Paraboloid?h - Height of Paraboloid?π - Archimedes' constant?

Lateral Surface Area of Paraboloid Example

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

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

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

1050.9961 = \frac{3.1416 \cdot 5}{6 \cdot 50^{2}} \cdot ({(5^{2} + 4 \cdot 50^{2})}^{\frac{3}{2}} - 5^{3})

1050.9961m² = \frac{3.1416 \cdot 5m}{6 \cdot {50m}^{2}} \cdot ({({5m}^{2} + 4 \cdot {50m}^{2})}^{\frac{3}{2}} - {5m}^{3})

1050.9961 = \frac{3.1416 \cdot 5}{6 \cdot 50^{2}} \cdot ({(5^{2} + 4 \cdot 50^{2})}^{\frac{3}{2}} - 5^{3})

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Lateral Surface Area of Paraboloid Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LSA = \frac{π \cdot 5m}{6 \cdot {50m}^{2}} \cdot ({({5m}^{2} + 4 \cdot {50m}^{2})}^{\frac{3}{2}} - {5m}^{3})

Next Step Substitute values of Constants

∴

LSA = \frac{3.1416 \cdot 5m}{6 \cdot {50m}^{2}} \cdot ({({5m}^{2} + 4 \cdot {50m}^{2})}^{\frac{3}{2}} - {5m}^{3})

Next Step Prepare to Evaluate

∴

LSA = \frac{3.1416 \cdot 5}{6 \cdot 50^{2}} \cdot ({(5^{2} + 4 \cdot 50^{2})}^{\frac{3}{2}} - 5^{3})

Next Step Evaluate

∴

LSA = 1050.99609566725m²

LAST Step Rounding Answer

∴

LSA = 1050.9961m²

Lateral Surface Area of Paraboloid 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

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 Height

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

Go Lateral Surface Area of Paraboloid given Total Surface Area

LSA = TSA - π \cdot r^{2}

Other formulas in Lateral Surface Area of Paraboloid category

Go Total Surface Area of Paraboloid

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

Go Total Surface Area of Paraboloid given Height

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

Go Total Surface Area of Paraboloid given Lateral Surface Area

TSA = LSA + π \cdot r^{2}

Go Total Surface Area of Paraboloid given Radius

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

How to Evaluate Lateral Surface Area of Paraboloid?

Lateral Surface Area of Paraboloid evaluator uses 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) to evaluate the Lateral Surface Area of Paraboloid, Lateral Surface Area of Paraboloid formula is defined as the total quantity of two dimensional plane enclosed on the lateral curved surface of Paraboloid. Lateral Surface Area of Paraboloid is denoted by LSA symbol.

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

FAQs on Lateral Surface Area of Paraboloid

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

The formula of Lateral Surface Area of Paraboloid is expressed as 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). Here is an example- 1050.996 = (pi*5)/(6*50^2)*((5^2+4*50^2)^(3/2)-5^3).

How to calculate Lateral Surface Area of Paraboloid?

With Radius of Paraboloid (r) & Height of Paraboloid (h) we can find Lateral Surface Area of Paraboloid using the formula - 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). 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=pi/(6*Shape Parameter of Paraboloid^2)*((1+4*Height of Paraboloid*Shape Parameter of Paraboloid)^(3/2)-1)
Lateral Surface Area of Paraboloid=Total Surface Area of Paraboloid-pi*Radius of Paraboloid^2

Can the Lateral Surface Area of Paraboloid be negative?

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

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

Lateral Surface Area of Paraboloid 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 can be measured.

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Lateral Surface Area of Paraboloid Formula

​GoLateral Surface Area of Paraboloid given Height Formula

​GoLateral Surface Area of Paraboloid given Total Surface Area Formula

Lateral Surface Area of Paraboloid Example

Lateral Surface Area of Paraboloid Solution

Lateral Surface Area of Paraboloid Formula Elements

Other Formulas to find Lateral Surface Area of Paraboloid

Other formulas in Lateral Surface Area of Paraboloid category

How to Evaluate Lateral Surface Area of Paraboloid?

FAQs on Lateral Surface Area of Paraboloid

Variable Name

GoLateral Surface Area of Paraboloid given Height Formula

GoLateral Surface Area of Paraboloid given Total Surface Area Formula