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Lateral Surface Area of Paraboloid given Height Formula

GoLateral Surface Area of Paraboloid 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}{6 \cdot p^{2}} \cdot ({(1 + 4 \cdot h \cdot p)}^{\frac{3}{2}} - 1)

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

Lateral Surface Area of Paraboloid given Height Example

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

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

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

1050.9961 = \frac{3.1416}{6 \cdot 2^{2}} \cdot ({(1 + 4 \cdot 50 \cdot 2)}^{\frac{3}{2}} - 1)

1050.9961m² = \frac{3.1416}{6 \cdot 2^{2}} \cdot ({(1 + 4 \cdot 50m \cdot 2)}^{\frac{3}{2}} - 1)

1050.9961 = \frac{3.1416}{6 \cdot 2^{2}} \cdot ({(1 + 4 \cdot 50 \cdot 2)}^{\frac{3}{2}} - 1)

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Home » Math » Geometry » 3D Geometry » Lateral Surface Area of Paraboloid given Height

Lateral Surface Area of Paraboloid given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LSA = \frac{π}{6 \cdot 2^{2}} \cdot ({(1 + 4 \cdot 50m \cdot 2)}^{\frac{3}{2}} - 1)

Next Step Substitute values of Constants

∴

LSA = \frac{3.1416}{6 \cdot 2^{2}} \cdot ({(1 + 4 \cdot 50m \cdot 2)}^{\frac{3}{2}} - 1)

Next Step Prepare to Evaluate

∴

LSA = \frac{3.1416}{6 \cdot 2^{2}} \cdot ({(1 + 4 \cdot 50 \cdot 2)}^{\frac{3}{2}} - 1)

Next Step Evaluate

∴

LSA = 1050.99609566725m²

LAST Step Rounding Answer

∴

LSA = 1050.9961m²

Lateral Surface Area of Paraboloid given Height 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.

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.

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.

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

Credits

Created by Diwanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

Diwanshi Jain has created this Formula and 300+ more formulas!

Verified by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has verified this Formula and 400+ more formulas!

Other Formulas to find Lateral Surface Area of Paraboloid

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 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 given Height?

Lateral Surface Area of Paraboloid given Height evaluator uses Lateral Surface Area of Paraboloid = pi/(6*Shape Parameter of Paraboloid^2)*((1+4*Height of Paraboloid*Shape Parameter of Paraboloid)^(3/2)-1) to evaluate the Lateral Surface Area of Paraboloid, The Lateral Surface Area of Paraboloid given Height formula is defined as the total quantity of two dimensional plane enclosed on the lateral curved surface of Paraboloid, calculated using height of Paraboloid. Lateral Surface Area of Paraboloid is denoted by LSA symbol.

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

FAQs on Lateral Surface Area of Paraboloid given Height

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

The formula of Lateral Surface Area of Paraboloid given Height is expressed as Lateral Surface Area of Paraboloid = pi/(6*Shape Parameter of Paraboloid^2)*((1+4*Height of Paraboloid*Shape Parameter of Paraboloid)^(3/2)-1). Here is an example- 1050.996 = pi/(6*2^2)*((1+4*50*2)^(3/2)-1).

How to calculate Lateral Surface Area of Paraboloid given Height?

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

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

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

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

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

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Lateral Surface Area of Paraboloid given Height Formula

​GoLateral Surface Area of Paraboloid Formula

​GoLateral Surface Area of Paraboloid given Total Surface Area Formula

Lateral Surface Area of Paraboloid given Height Example

Lateral Surface Area of Paraboloid given Height Solution

Lateral Surface Area of Paraboloid given Height Formula Elements

Credits

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 given Height?

FAQs on Lateral Surface Area of Paraboloid given Height

Variable Name

GoLateral Surface Area of Paraboloid Formula

GoLateral Surface Area of Paraboloid given Total Surface Area Formula