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Lateral Surface Area of Paraboloid given Radius 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{π}{6 \cdot p^{2}} \cdot ({(1 + 4 \cdot p^{2} \cdot r^{2})}^{\frac{3}{2}} - 1)

LSA - Lateral Surface Area of Paraboloid?p - Shape Parameter of Paraboloid?r - Radius of Paraboloid?π - Archimedes' constant?

Lateral Surface Area of Paraboloid given Radius Example

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

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

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

1050.9961 = \frac{3.1416}{6 \cdot 2^{2}} \cdot ({(1 + 4 \cdot 2^{2} \cdot 5^{2})}^{\frac{3}{2}} - 1)

1050.9961m² = \frac{3.1416}{6 \cdot 2^{2}} \cdot ({(1 + 4 \cdot 2^{2} \cdot {5m}^{2})}^{\frac{3}{2}} - 1)

1050.9961 = \frac{3.1416}{6 \cdot 2^{2}} \cdot ({(1 + 4 \cdot 2^{2} \cdot 5^{2})}^{\frac{3}{2}} - 1)

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Lateral Surface Area of Paraboloid given Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LSA = \frac{π}{6 \cdot 2^{2}} \cdot ({(1 + 4 \cdot 2^{2} \cdot {5m}^{2})}^{\frac{3}{2}} - 1)

Next Step Substitute values of Constants

∴

LSA = \frac{3.1416}{6 \cdot 2^{2}} \cdot ({(1 + 4 \cdot 2^{2} \cdot {5m}^{2})}^{\frac{3}{2}} - 1)

Next Step Prepare to Evaluate

∴

LSA = \frac{3.1416}{6 \cdot 2^{2}} \cdot ({(1 + 4 \cdot 2^{2} \cdot 5^{2})}^{\frac{3}{2}} - 1)

Next Step Evaluate

∴

LSA = 1050.99609566725m²

LAST Step Rounding Answer

∴

LSA = 1050.9961m²

Lateral Surface Area of Paraboloid given Radius 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

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.

Formulas to find Shape Parameter 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

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 Surface to Volume Ratio

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

How to Evaluate Lateral Surface Area of Paraboloid given Radius?

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

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

FAQs on Lateral Surface Area of Paraboloid given Radius

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

The formula of Lateral Surface Area of Paraboloid given Radius is expressed as Lateral Surface Area of Paraboloid = pi/(6*Shape Parameter of Paraboloid^2)*((1+4*Shape Parameter of Paraboloid^2*Radius of Paraboloid^2)^(3/2)-1). Here is an example- 1050.996 = pi/(6*2^2)*((1+4*2^2*5^2)^(3/2)-1).

How to calculate Lateral Surface Area of Paraboloid given Radius?

With Shape Parameter of Paraboloid (p) & Radius of Paraboloid (r) we can find Lateral Surface Area of Paraboloid given Radius using the formula - Lateral Surface Area of Paraboloid = pi/(6*Shape Parameter of Paraboloid^2)*((1+4*Shape Parameter of Paraboloid^2*Radius of Paraboloid^2)^(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=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 Radius be negative?

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

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

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

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Lateral Surface Area of Paraboloid given Radius Formula

​GoLateral Surface Area of Paraboloid given Total Surface Area Formula

​GoLateral Surface Area of Paraboloid Formula

Lateral Surface Area of Paraboloid given Radius Example

Lateral Surface Area of Paraboloid given Radius Solution

Lateral Surface Area of Paraboloid given Radius Formula Elements

Other Formulas to find Lateral Surface Area of Paraboloid

How to Evaluate Lateral Surface Area of Paraboloid given Radius?

FAQs on Lateral Surface Area of Paraboloid given Radius

Variable Name

GoLateral Surface Area of Paraboloid given Total Surface Area Formula

GoLateral Surface Area of Paraboloid Formula