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Volume of Paraboloid given Lateral Surface Area Formula

GoVolume of Paraboloid Formula

GoVolume of Paraboloid given Height Formula

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

V = \frac{π}{32 \cdot p^{3}} \cdot {({(\frac{6 \cdot LSA \cdot p^{2}}{π} + 1)}^{\frac{2}{3}} - 1)}^{2}

V - Volume of Paraboloid?p - Shape Parameter of Paraboloid?LSA - Lateral Surface Area of Paraboloid?π - Archimedes' constant?

Volume of Paraboloid given Lateral Surface Area Example

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

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

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

1961.0087 = \frac{3.1416}{32 \cdot 2^{3}} \cdot {({(\frac{6 \cdot 1050 \cdot 2^{2}}{3.1416} + 1)}^{\frac{2}{3}} - 1)}^{2}

1961.0087m³ = \frac{3.1416}{32 \cdot 2^{3}} \cdot {({(\frac{6 \cdot 1050m² \cdot 2^{2}}{3.1416} + 1)}^{\frac{2}{3}} - 1)}^{2}

1961.0087 = \frac{3.1416}{32 \cdot 2^{3}} \cdot {({(\frac{6 \cdot 1050 \cdot 2^{2}}{3.1416} + 1)}^{\frac{2}{3}} - 1)}^{2}

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Volume of Paraboloid given Lateral Surface Area Solution

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

FIRST Step Consider the formula

V = \frac{π}{32 \cdot p^{3}} \cdot {({(\frac{6 \cdot LSA \cdot p^{2}}{π} + 1)}^{\frac{2}{3}} - 1)}^{2}

Next Step Substitute values of Variables

∴

V = \frac{π}{32 \cdot 2^{3}} \cdot {({(\frac{6 \cdot 1050m² \cdot 2^{2}}{π} + 1)}^{\frac{2}{3}} - 1)}^{2}

Next Step Substitute values of Constants

∴

V = \frac{3.1416}{32 \cdot 2^{3}} \cdot {({(\frac{6 \cdot 1050m² \cdot 2^{2}}{3.1416} + 1)}^{\frac{2}{3}} - 1)}^{2}

Next Step Prepare to Evaluate

∴

V = \frac{3.1416}{32 \cdot 2^{3}} \cdot {({(\frac{6 \cdot 1050 \cdot 2^{2}}{3.1416} + 1)}^{\frac{2}{3}} - 1)}^{2}

Next Step Evaluate

∴

V = 1961.00867116747m³

LAST Step Rounding Answer

∴

V = 1961.0087m³

Volume of Paraboloid given Lateral Surface Area Formula Elements

Variables

Constants

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

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

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

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 Volume of Paraboloid

Go Volume of Paraboloid

V = \frac{1}{2} \cdot π \cdot r^{2} \cdot h

Go Volume of Paraboloid given Height

V = \frac{1}{2} \cdot \frac{π \cdot h^{2}}{p}

Go Volume of Paraboloid given Radius

V = \frac{1}{2} \cdot π \cdot p \cdot r^{4}

How to Evaluate Volume of Paraboloid given Lateral Surface Area?

Volume of Paraboloid given Lateral Surface Area evaluator uses Volume of Paraboloid = pi/(32*Shape Parameter of Paraboloid^3)*(((6*Lateral Surface Area of Paraboloid*Shape Parameter of Paraboloid^2)/pi+1)^(2/3)-1)^2 to evaluate the Volume of Paraboloid, The Volume of Paraboloid given Lateral Surface Area formula is defined as amount of three dimensional space occupied by Paraboloid, calculated using lateral surface area of Paraboloid. Volume of Paraboloid is denoted by V symbol.

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

FAQs on Volume of Paraboloid given Lateral Surface Area

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

The formula of Volume of Paraboloid given Lateral Surface Area is expressed as Volume of Paraboloid = pi/(32*Shape Parameter of Paraboloid^3)*(((6*Lateral Surface Area of Paraboloid*Shape Parameter of Paraboloid^2)/pi+1)^(2/3)-1)^2. Here is an example- 1961.009 = pi/(32*2^3)*(((6*1050*2^2)/pi+1)^(2/3)-1)^2.

How to calculate Volume of Paraboloid given Lateral Surface Area?

With Shape Parameter of Paraboloid (p) & Lateral Surface Area of Paraboloid (LSA) we can find Volume of Paraboloid given Lateral Surface Area using the formula - Volume of Paraboloid = pi/(32*Shape Parameter of Paraboloid^3)*(((6*Lateral Surface Area of Paraboloid*Shape Parameter of Paraboloid^2)/pi+1)^(2/3)-1)^2. This formula also uses Archimedes' constant .

What are the other ways to Calculate Volume of Paraboloid?

Here are the different ways to Calculate Volume of Paraboloid-

Volume of Paraboloid=1/2*pi*Radius of Paraboloid^2*Height of Paraboloid
Volume of Paraboloid=1/2*(pi*Height of Paraboloid^2)/Shape Parameter of Paraboloid
Volume of Paraboloid=1/2*pi*Shape Parameter of Paraboloid*Radius of Paraboloid^4

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

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

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

Volume of Paraboloid given Lateral Surface Area is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Paraboloid given Lateral Surface Area can be measured.

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: Unit

Volume of Paraboloid given Lateral Surface Area Formula

​GoVolume of Paraboloid Formula

​GoVolume of Paraboloid given Height Formula

Volume of Paraboloid given Lateral Surface Area Example

Volume of Paraboloid given Lateral Surface Area Solution

Volume of Paraboloid given Lateral Surface Area Formula Elements

Other Formulas to find Volume of Paraboloid

How to Evaluate Volume of Paraboloid given Lateral Surface Area?

FAQs on Volume of Paraboloid given Lateral Surface Area

Variable Name

GoVolume of Paraboloid Formula

GoVolume of Paraboloid given Height Formula