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Lateral Surface Area of Paraboloid given Total Surface Area Formula

GoLateral Surface Area of Paraboloid Formula

GoLateral Surface Area of Paraboloid given Height 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 = TSA - π \cdot r^{2}

LSA - Lateral Surface Area of Paraboloid?TSA - Total Surface Area of Paraboloid?r - Radius of Paraboloid?π - Archimedes' constant?

Lateral Surface Area of Paraboloid given Total Surface Area Example

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

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

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

1071.4602 = 1150 - 3.1416 \cdot 5^{2}

1071.4602m² = 1150m² - 3.1416 \cdot {5m}^{2}

1071.4602 = 1150 - 3.1416 \cdot 5^{2}

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

Lateral Surface Area of Paraboloid given Total Surface Area Solution

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

FIRST Step Consider the formula

LSA = TSA - π \cdot r^{2}

Next Step Substitute values of Variables

∴

LSA = 1150m² - π \cdot {5m}^{2}

Next Step Substitute values of Constants

∴

LSA = 1150m² - 3.1416 \cdot {5m}^{2}

Next Step Prepare to Evaluate

∴

LSA = 1150 - 3.1416 \cdot 5^{2}

Next Step Evaluate

∴

LSA = 1071.46018366026m²

LAST Step Rounding Answer

∴

LSA = 1071.4602m²

Lateral Surface Area of Paraboloid given Total Surface Area 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.

Total Surface Area of Paraboloid

Total Surface Area of Paraboloid is the total quantity of two dimensional space enclosed on the entire surface of the Paraboloid.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

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.

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 Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Formula and 2500+ more formulas!

Verified by

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Formula and 1700+ 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 Height

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

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 Total Surface Area?

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

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

FAQs on Lateral Surface Area of Paraboloid given Total Surface Area

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

The formula of Lateral Surface Area of Paraboloid given Total Surface Area is expressed as Lateral Surface Area of Paraboloid = Total Surface Area of Paraboloid-pi*Radius of Paraboloid^2. Here is an example- 1071.46 = 1150-pi*5^2.

How to calculate Lateral Surface Area of Paraboloid given Total Surface Area?

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

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

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

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

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

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Lateral Surface Area of Paraboloid given Total Surface Area Formula

​GoLateral Surface Area of Paraboloid Formula

​GoLateral Surface Area of Paraboloid given Height Formula

Lateral Surface Area of Paraboloid given Total Surface Area Example

Lateral Surface Area of Paraboloid given Total Surface Area Solution

Lateral Surface Area of Paraboloid given Total Surface Area 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 Total Surface Area?

FAQs on Lateral Surface Area of Paraboloid given Total Surface Area

Variable Name

GoLateral Surface Area of Paraboloid Formula

GoLateral Surface Area of Paraboloid given Height Formula