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Volume of Paraboloid given Radius 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{1}{2} \cdot π \cdot p \cdot r^{4}

V - Volume of Paraboloid?p - Shape Parameter of Paraboloid?r - Radius of Paraboloid?π - Archimedes' constant?

Volume of Paraboloid given Radius Example

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

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

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

1963.4954 = \frac{1}{2} \cdot 3.1416 \cdot 2 \cdot 5^{4}

1963.4954m³ = \frac{1}{2} \cdot 3.1416 \cdot 2 \cdot {5m}^{4}

1963.4954 = \frac{1}{2} \cdot 3.1416 \cdot 2 \cdot 5^{4}

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Volume of Paraboloid given Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{1}{2} \cdot π \cdot 2 \cdot {5m}^{4}

Next Step Substitute values of Constants

∴

V = \frac{1}{2} \cdot 3.1416 \cdot 2 \cdot {5m}^{4}

Next Step Prepare to Evaluate

∴

V = \frac{1}{2} \cdot 3.1416 \cdot 2 \cdot 5^{4}

Next Step Evaluate

∴

V = 1963.49540849362m³

LAST Step Rounding Answer

∴

V = 1963.4954m³

Volume of Paraboloid given Radius 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

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 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 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}

How to Evaluate Volume of Paraboloid given Radius?

Volume of Paraboloid given Radius evaluator uses Volume of Paraboloid = 1/2*pi*Shape Parameter of Paraboloid*Radius of Paraboloid^4 to evaluate the Volume of Paraboloid, The Volume of Paraboloid given Radius formula is defined as amount of three dimensional space occupied by Paraboloid, calculated using radius of Paraboloid. Volume of Paraboloid is denoted by V symbol.

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

FAQs on Volume of Paraboloid given Radius

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

The formula of Volume of Paraboloid given Radius is expressed as Volume of Paraboloid = 1/2*pi*Shape Parameter of Paraboloid*Radius of Paraboloid^4. Here is an example- 1963.495 = 1/2*pi*2*5^4.

How to calculate Volume of Paraboloid given Radius?

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

Can the Volume of Paraboloid given Radius be negative?

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

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

Volume of Paraboloid given Radius 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 Radius can be measured.

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Volume of Paraboloid given Radius Formula

​GoVolume of Paraboloid Formula

​GoVolume of Paraboloid given Height Formula

Volume of Paraboloid given Radius Example

Volume of Paraboloid given Radius Solution

Volume of Paraboloid given Radius Formula Elements

Other Formulas to find Volume of Paraboloid

How to Evaluate Volume of Paraboloid given Radius?

FAQs on Volume of Paraboloid given Radius

Variable Name

GoVolume of Paraboloid Formula

GoVolume of Paraboloid given Height Formula