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Volume of Paraboloid given Surface to Volume Ratio Formula

GoVolume of Paraboloid Formula

GoVolume of Paraboloid given Total Surface Area and 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{LSA + π \cdot r^{2}}{R A/V}

V - Volume of Paraboloid?LSA - Lateral Surface Area of Paraboloid?r - Radius of Paraboloid?R_A/V - Surface to Volume Ratio of Paraboloid?π - Archimedes' constant?

Volume of Paraboloid given Surface to Volume Ratio Example

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Here is how the Volume of Paraboloid given Surface to Volume Ratio equation looks like with Values.

Here is how the Volume of Paraboloid given Surface to Volume Ratio equation looks like with Units.

Here is how the Volume of Paraboloid given Surface to Volume Ratio equation looks like.

1880.8997 = \frac{1050 + 3.1416 \cdot 5^{2}}{0.6}

1880.8997m³ = \frac{1050m² + 3.1416 \cdot {5m}^{2}}{0.6m⁻¹}

1880.8997 = \frac{1050 + 3.1416 \cdot 5^{2}}{0.6}

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Volume of Paraboloid given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

V = \frac{LSA + π \cdot r^{2}}{R A/V}

Next Step Substitute values of Variables

∴

V = \frac{1050m² + π \cdot {5m}^{2}}{0.6m⁻¹}

Next Step Substitute values of Constants

∴

V = \frac{1050m² + 3.1416 \cdot {5m}^{2}}{0.6m⁻¹}

Next Step Prepare to Evaluate

∴

V = \frac{1050 + 3.1416 \cdot 5^{2}}{0.6}

Next Step Evaluate

∴

V = 1880.89969389957m³

LAST Step Rounding Answer

∴

V = 1880.8997m³

Volume of Paraboloid given Surface to Volume Ratio 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

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

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

Surface to Volume Ratio of Paraboloid

Surface to Volume Ratio of Paraboloid is the numerical ratio of the total surface area of the Paraboloid to the volume of the Paraboloid.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 Total Surface Area and Lateral Surface Area

V = \frac{1}{2} \cdot (TSA - LSA) \cdot h

Go Volume of Paraboloid given Radius

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

Go Volume of Paraboloid given Height

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

How to Evaluate Volume of Paraboloid given Surface to Volume Ratio?

Volume of Paraboloid given Surface to Volume Ratio evaluator uses Volume of Paraboloid = (Lateral Surface Area of Paraboloid+pi*Radius of Paraboloid^2)/Surface to Volume Ratio of Paraboloid to evaluate the Volume of Paraboloid, The Volume of Paraboloid given Surface to Volume Ratio formula is defined as amount of three dimensional space occupied by Paraboloid, calculated using surface to volume ratio of Paraboloid. Volume of Paraboloid is denoted by V symbol.

How to evaluate Volume of Paraboloid given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Volume of Paraboloid given Surface to Volume Ratio, enter Lateral Surface Area of Paraboloid (LSA), Radius of Paraboloid (r) & Surface to Volume Ratio of Paraboloid (R_A/V) and hit the calculate button.

FAQs on Volume of Paraboloid given Surface to Volume Ratio

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

The formula of Volume of Paraboloid given Surface to Volume Ratio is expressed as Volume of Paraboloid = (Lateral Surface Area of Paraboloid+pi*Radius of Paraboloid^2)/Surface to Volume Ratio of Paraboloid. Here is an example- 1880.9 = (1050+pi*5^2)/0.6.

How to calculate Volume of Paraboloid given Surface to Volume Ratio?

With Lateral Surface Area of Paraboloid (LSA), Radius of Paraboloid (r) & Surface to Volume Ratio of Paraboloid (R_A/V) we can find Volume of Paraboloid given Surface to Volume Ratio using the formula - Volume of Paraboloid = (Lateral Surface Area of Paraboloid+pi*Radius of Paraboloid^2)/Surface to Volume Ratio 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=1/2*(Total Surface Area of Paraboloid-Lateral Surface Area of Paraboloid)*Height of Paraboloid
Volume of Paraboloid=1/2*pi*Shape Parameter of Paraboloid*Radius of Paraboloid^4

Can the Volume of Paraboloid given Surface to Volume Ratio be negative?

No, the Volume of Paraboloid given Surface to Volume Ratio, measured in Volume cannot be negative.

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

Volume of Paraboloid given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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Volume of Paraboloid given Surface to Volume Ratio Formula

​GoVolume of Paraboloid Formula

​GoVolume of Paraboloid given Total Surface Area and Lateral Surface Area Formula

Volume of Paraboloid given Surface to Volume Ratio Example

Volume of Paraboloid given Surface to Volume Ratio Solution

Volume of Paraboloid given Surface to Volume Ratio Formula Elements

Other Formulas to find Volume of Paraboloid

How to Evaluate Volume of Paraboloid given Surface to Volume Ratio?

FAQs on Volume of Paraboloid given Surface to Volume Ratio

Variable Name

GoVolume of Paraboloid Formula

GoVolume of Paraboloid given Total Surface Area and Lateral Surface Area Formula