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Volume of Paraboloid given Height Formula

GoVolume of Paraboloid Formula

GoVolume of Paraboloid given Lateral Surface Area Formula

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

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

V - Volume of Paraboloid?h - Height of Paraboloid?p - Shape Parameter of Paraboloid?π - Archimedes' constant?

Volume of Paraboloid given Height Example

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Here is how the Volume of Paraboloid given Height equation looks like with Values.

Here is how the Volume of Paraboloid given Height equation looks like with Units.

Here is how the Volume of Paraboloid given Height equation looks like.

1963.4954 = \frac{1}{2} \cdot \frac{3.1416 \cdot 50^{2}}{2}

1963.4954m³ = \frac{1}{2} \cdot \frac{3.1416 \cdot {50m}^{2}}{2}

1963.4954 = \frac{1}{2} \cdot \frac{3.1416 \cdot 50^{2}}{2}

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Volume of Paraboloid given Height Solution

Follow our step by step solution on how to calculate Volume of Paraboloid given Height?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{1}{2} \cdot \frac{π \cdot {50m}^{2}}{2}

Next Step Substitute values of Constants

∴

V = \frac{1}{2} \cdot \frac{3.1416 \cdot {50m}^{2}}{2}

Next Step Prepare to Evaluate

∴

V = \frac{1}{2} \cdot \frac{3.1416 \cdot 50^{2}}{2}

Next Step Evaluate

∴

V = 1963.49540849362m³

LAST Step Rounding Answer

∴

V = 1963.4954m³

Volume of Paraboloid given Height 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

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

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

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 Lateral Surface Area

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

Go Volume of Paraboloid given Radius

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

How to Evaluate Volume of Paraboloid given Height?

Volume of Paraboloid given Height evaluator uses Volume of Paraboloid = 1/2*(pi*Height of Paraboloid^2)/Shape Parameter of Paraboloid to evaluate the Volume of Paraboloid, The Volume of Paraboloid given Height formula is defined as amount of three dimensional space occupied by Paraboloid, calculated using height of Paraboloid. Volume of Paraboloid is denoted by V symbol.

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

FAQs on Volume of Paraboloid given Height

What is the formula to find Volume of Paraboloid given Height?

The formula of Volume of Paraboloid given Height is expressed as Volume of Paraboloid = 1/2*(pi*Height of Paraboloid^2)/Shape Parameter of Paraboloid. Here is an example- 1963.495 = 1/2*(pi*50^2)/2.

How to calculate Volume of Paraboloid given Height?

With Height of Paraboloid (h) & Shape Parameter of Paraboloid (p) we can find Volume of Paraboloid given Height using the formula - Volume of Paraboloid = 1/2*(pi*Height of Paraboloid^2)/Shape Parameter of Paraboloid. 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=pi/(32*Shape Parameter of Paraboloid^3)*(((6*Lateral Surface Area of Paraboloid*Shape Parameter of Paraboloid^2)/pi+1)^(2/3)-1)^2
Volume of Paraboloid=1/2*pi*Shape Parameter of Paraboloid*Radius of Paraboloid^4

Can the Volume of Paraboloid given Height be negative?

No, the Volume of Paraboloid given Height, measured in Volume cannot be negative.

Which unit is used to measure Volume of Paraboloid given Height?

Volume of Paraboloid given Height 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 Height can be measured.

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Volume of Paraboloid given Height Formula

​GoVolume of Paraboloid Formula

​GoVolume of Paraboloid given Lateral Surface Area Formula

Volume of Paraboloid given Height Example

Volume of Paraboloid given Height Solution

Volume of Paraboloid given Height Formula Elements

Other Formulas to find Volume of Paraboloid

How to Evaluate Volume of Paraboloid given Height?

FAQs on Volume of Paraboloid given Height

Variable Name

GoVolume of Paraboloid Formula

GoVolume of Paraboloid given Lateral Surface Area Formula