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Surface to Volume Ratio of Paraboloid Formula

GoSurface to Volume Ratio of Paraboloid given Volume Formula

GoSurface to Volume Ratio of Paraboloid given Total Surface Area Formula

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

R A/V = \frac{\frac{π \cdot r}{6 \cdot h^{2}} \cdot ({(r^{2} + (4 \cdot h^{2}))}^{\frac{3}{2}} - r^{3}) + (π \cdot r^{2})}{\frac{1}{2} \cdot π \cdot r^{2} \cdot h}

R_A/V - Surface to Volume Ratio of Paraboloid?r - Radius of Paraboloid?h - Height of Paraboloid?π - Archimedes' constant?

Surface to Volume Ratio of Paraboloid Example

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

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

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

0.5753 = \frac{\frac{3.1416 \cdot 5}{6 \cdot 50^{2}} \cdot ({(5^{2} + (4 \cdot 50^{2}))}^{\frac{3}{2}} - 5^{3}) + (3.1416 \cdot 5^{2})}{\frac{1}{2} \cdot 3.1416 \cdot 5^{2} \cdot 50}

0.5753m⁻¹ = \frac{\frac{3.1416 \cdot 5m}{6 \cdot {50m}^{2}} \cdot ({({5m}^{2} + (4 \cdot {50m}^{2}))}^{\frac{3}{2}} - {5m}^{3}) + (3.1416 \cdot {5m}^{2})}{\frac{1}{2} \cdot 3.1416 \cdot {5m}^{2} \cdot 50m}

0.5753 = \frac{\frac{3.1416 \cdot 5}{6 \cdot 50^{2}} \cdot ({(5^{2} + (4 \cdot 50^{2}))}^{\frac{3}{2}} - 5^{3}) + (3.1416 \cdot 5^{2})}{\frac{1}{2} \cdot 3.1416 \cdot 5^{2} \cdot 50}

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Surface to Volume Ratio of Paraboloid Solution

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

FIRST Step Consider the formula

R A/V = \frac{\frac{π \cdot r}{6 \cdot h^{2}} \cdot ({(r^{2} + (4 \cdot h^{2}))}^{\frac{3}{2}} - r^{3}) + (π \cdot r^{2})}{\frac{1}{2} \cdot π \cdot r^{2} \cdot h}

Next Step Substitute values of Variables

∴

R A/V = \frac{\frac{π \cdot 5m}{6 \cdot {50m}^{2}} \cdot ({({5m}^{2} + (4 \cdot {50m}^{2}))}^{\frac{3}{2}} - {5m}^{3}) + (π \cdot {5m}^{2})}{\frac{1}{2} \cdot π \cdot {5m}^{2} \cdot 50m}

Next Step Substitute values of Constants

∴

R A/V = \frac{\frac{3.1416 \cdot 5m}{6 \cdot {50m}^{2}} \cdot ({({5m}^{2} + (4 \cdot {50m}^{2}))}^{\frac{3}{2}} - {5m}^{3}) + (3.1416 \cdot {5m}^{2})}{\frac{1}{2} \cdot 3.1416 \cdot {5m}^{2} \cdot 50m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{\frac{3.1416 \cdot 5}{6 \cdot 50^{2}} \cdot ({(5^{2} + (4 \cdot 50^{2}))}^{\frac{3}{2}} - 5^{3}) + (3.1416 \cdot 5^{2})}{\frac{1}{2} \cdot 3.1416 \cdot 5^{2} \cdot 50}

Next Step Evaluate

∴

R A/V = 0.575267916146321m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.5753m⁻¹

Surface to Volume Ratio of Paraboloid Formula Elements

Variables

Constants

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

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

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

Other Formulas to find Surface to Volume Ratio of Paraboloid

Go Surface to Volume Ratio of Paraboloid given Volume

R A/V = \frac{(\frac{π \cdot r}{6 \cdot h^{2}} \cdot ({(r^{2} + 4 \cdot h^{2})}^{\frac{3}{2}} - r^{3})) + (π \cdot r^{2})}{V}

Go Surface to Volume Ratio of Paraboloid given Total Surface Area

R A/V = \frac{2 \cdot TSA}{π \cdot r^{2} \cdot h}

Go Surface to Volume Ratio of Paraboloid given Lateral Surface Area

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

Go Surface to Volume Ratio of Paraboloid given Radius

R A/V = \frac{(\frac{π}{6 \cdot p^{2}} \cdot ({(1 + (4 \cdot p^{2} \cdot r^{2}))}^{\frac{3}{2}} - 1)) + π \cdot r^{2}}{\frac{1}{2} \cdot π \cdot p \cdot r^{4}}

How to Evaluate Surface to Volume Ratio of Paraboloid?

Surface to Volume Ratio of Paraboloid evaluator uses Surface to Volume Ratio 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)+(pi*Radius of Paraboloid^2))/(1/2*pi*Radius of Paraboloid^2*Height of Paraboloid) to evaluate the Surface to Volume Ratio of Paraboloid, The Surface to Volume Ratio of Paraboloid formula is defined as the numerical ratio of the total surface area of the Paraboloid to the volume of the Paraboloid. Surface to Volume Ratio of Paraboloid is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Paraboloid

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

The formula of Surface to Volume Ratio of Paraboloid is expressed as Surface to Volume Ratio 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)+(pi*Radius of Paraboloid^2))/(1/2*pi*Radius of Paraboloid^2*Height of Paraboloid). Here is an example- 0.575268 = ((pi*5)/(6*50^2)*((5^2+(4*50^2))^(3/2)-5^3)+(pi*5^2))/(1/2*pi*5^2*50).

How to calculate Surface to Volume Ratio of Paraboloid?

With Radius of Paraboloid (r) & Height of Paraboloid (h) we can find Surface to Volume Ratio of Paraboloid using the formula - Surface to Volume Ratio 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)+(pi*Radius of Paraboloid^2))/(1/2*pi*Radius of Paraboloid^2*Height of Paraboloid). This formula also uses Archimedes' constant .

What are the other ways to Calculate Surface to Volume Ratio of Paraboloid?

Here are the different ways to Calculate Surface to Volume Ratio of Paraboloid-

Surface to Volume Ratio 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))+(pi*Radius of Paraboloid^2))/(Volume of Paraboloid)
Surface to Volume Ratio of Paraboloid=(2*Total Surface Area of Paraboloid)/(pi*Radius of Paraboloid^2*Height of Paraboloid)
Surface to Volume Ratio of Paraboloid=(Lateral Surface Area of Paraboloid+pi*Radius of Paraboloid^2)/(1/2*pi*Radius of Paraboloid^2*Height of Paraboloid)

Can the Surface to Volume Ratio of Paraboloid be negative?

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

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

Surface to Volume Ratio of Paraboloid is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Paraboloid can be measured.

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Surface to Volume Ratio of Paraboloid Formula

​GoSurface to Volume Ratio of Paraboloid given Volume Formula

​GoSurface to Volume Ratio of Paraboloid given Total Surface Area Formula

Surface to Volume Ratio of Paraboloid Example

Surface to Volume Ratio of Paraboloid Solution

Surface to Volume Ratio of Paraboloid Formula Elements

Other Formulas to find Surface to Volume Ratio of Paraboloid

How to Evaluate Surface to Volume Ratio of Paraboloid?

FAQs on Surface to Volume Ratio of Paraboloid

Variable Name

GoSurface to Volume Ratio of Paraboloid given Volume Formula

GoSurface to Volume Ratio of Paraboloid given Total Surface Area Formula