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Lateral Surface Area of Paraboloid given Volume 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 \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}}})

LSA - Lateral Surface Area of Paraboloid?V - Volume of Paraboloid?h - Height of Paraboloid?π - Archimedes' constant?

Lateral Surface Area of Paraboloid given Volume Example

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

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

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

1060.9247 = \frac{3.1416 \cdot \sqrt{\frac{2 \cdot 2000}{3.1416 \cdot 50}}}{6 \cdot 50^{2}} \cdot ({(\frac{2 \cdot 2000}{3.1416 \cdot 50} + 4 \cdot 50^{2})}^{\frac{3}{2}} - \frac{2 \cdot 2000}{{(3.1416 \cdot 50)}^{\frac{3}{2}}})

1060.9247m² = \frac{3.1416 \cdot \sqrt{\frac{2 \cdot 2000m³}{3.1416 \cdot 50m}}}{6 \cdot {50m}^{2}} \cdot ({(\frac{2 \cdot 2000m³}{3.1416 \cdot 50m} + 4 \cdot {50m}^{2})}^{\frac{3}{2}} - \frac{2 \cdot 2000m³}{{(3.1416 \cdot 50m)}^{\frac{3}{2}}})

1060.9247 = \frac{3.1416 \cdot \sqrt{\frac{2 \cdot 2000}{3.1416 \cdot 50}}}{6 \cdot 50^{2}} \cdot ({(\frac{2 \cdot 2000}{3.1416 \cdot 50} + 4 \cdot 50^{2})}^{\frac{3}{2}} - \frac{2 \cdot 2000}{{(3.1416 \cdot 50)}^{\frac{3}{2}}})

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Lateral Surface Area of Paraboloid given Volume Solution

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

FIRST Step Consider the formula

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}}})

Next Step Substitute values of Variables

∴

LSA = \frac{π \cdot \sqrt{\frac{2 \cdot 2000m³}{π \cdot 50m}}}{6 \cdot {50m}^{2}} \cdot ({(\frac{2 \cdot 2000m³}{π \cdot 50m} + 4 \cdot {50m}^{2})}^{\frac{3}{2}} - \frac{2 \cdot 2000m³}{{(π \cdot 50m)}^{\frac{3}{2}}})

Next Step Substitute values of Constants

∴

LSA = \frac{3.1416 \cdot \sqrt{\frac{2 \cdot 2000m³}{3.1416 \cdot 50m}}}{6 \cdot {50m}^{2}} \cdot ({(\frac{2 \cdot 2000m³}{3.1416 \cdot 50m} + 4 \cdot {50m}^{2})}^{\frac{3}{2}} - \frac{2 \cdot 2000m³}{{(3.1416 \cdot 50m)}^{\frac{3}{2}}})

Next Step Prepare to Evaluate

∴

LSA = \frac{3.1416 \cdot \sqrt{\frac{2 \cdot 2000}{3.1416 \cdot 50}}}{6 \cdot 50^{2}} \cdot ({(\frac{2 \cdot 2000}{3.1416 \cdot 50} + 4 \cdot 50^{2})}^{\frac{3}{2}} - \frac{2 \cdot 2000}{{(3.1416 \cdot 50)}^{\frac{3}{2}}})

Next Step Evaluate

∴

LSA = 1060.92471296908m²

LAST Step Rounding Answer

∴

LSA = 1060.9247m²

Lateral Surface Area of Paraboloid given Volume Formula Elements

Variables

Constants

Functions

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

Volume of Paraboloid

Volume of Paraboloid is the amount of three dimensional space occupied by the Paraboloid.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 Surface to Volume Ratio

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

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

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

FAQs on Lateral Surface Area of Paraboloid given Volume

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

The formula of Lateral Surface Area of Paraboloid given Volume is expressed as 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)). Here is an example- 1060.925 = (pi*sqrt((2*2000)/(pi*50)))/(6*50^2)*(((2*2000)/(pi*50)+4*50^2)^(3/2)-(2*2000)/(pi*50)^(3/2)).

How to calculate Lateral Surface Area of Paraboloid given Volume?

With Volume of Paraboloid (V) & Height of Paraboloid (h) we can find Lateral Surface Area of Paraboloid given Volume using the formula - 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)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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=1/2*pi*Radius of Paraboloid^2*Height of Paraboloid*Surface to Volume Ratio of Paraboloid-pi*Radius of Paraboloid^2

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

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

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

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

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Lateral Surface Area of Paraboloid given Volume Formula

​GoLateral Surface Area of Paraboloid given Total Surface Area Formula

​GoLateral Surface Area of Paraboloid Formula

Lateral Surface Area of Paraboloid given Volume Example

Lateral Surface Area of Paraboloid given Volume Solution

Lateral Surface Area of Paraboloid given Volume Formula Elements

Other Formulas to find Lateral Surface Area of Paraboloid

How to Evaluate Lateral Surface Area of Paraboloid given Volume?

FAQs on Lateral Surface Area of Paraboloid given Volume

Variable Name

GoLateral Surface Area of Paraboloid given Total Surface Area Formula

GoLateral Surface Area of Paraboloid Formula