FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Surface to Volume Ratio of Paraboloid given Height Formula

GoSurface to Volume Ratio of Paraboloid Formula

GoSurface to Volume Ratio of Paraboloid given Volume Formula

Fx Copy

LaTeX Copy

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{1}{6 \cdot p} \cdot ({(1 + (4 \cdot p \cdot h))}^{\frac{3}{2}} - 1) + h}{\frac{1}{2} \cdot h^{2}}

R_A/V - Surface to Volume Ratio of Paraboloid?p - Shape Parameter of Paraboloid?h - Height of Paraboloid?

Surface to Volume Ratio of Paraboloid given Height Example

With values

With units

Only example

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

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

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

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

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

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

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Surface to Volume Ratio of Paraboloid given Height

Surface to Volume Ratio of Paraboloid given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

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 given Height Formula Elements

Variables

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

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

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

Other Formulas to find Surface to Volume Ratio of Paraboloid

Go Surface to Volume Ratio of Paraboloid

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}

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}

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

Surface to Volume Ratio of Paraboloid given Height evaluator uses Surface to Volume Ratio of Paraboloid = (1/(6*Shape Parameter of Paraboloid)*((1+(4*Shape Parameter of Paraboloid*Height of Paraboloid))^(3/2)-1)+Height of Paraboloid)/(1/2*Height of Paraboloid^2) to evaluate the Surface to Volume Ratio of Paraboloid, The Surface to Volume Ratio of Paraboloid given Height formula is defined as the numerical ratio of the total surface area of the Paraboloid to the volume of the Paraboloid, calculated using height of Paraboloid. Surface to Volume Ratio of Paraboloid is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Paraboloid given Height

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

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

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

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

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))/(1/2*pi*Radius of Paraboloid^2*Height 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)

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Surface to Volume Ratio of Paraboloid given Height Formula

​GoSurface to Volume Ratio of Paraboloid Formula

​GoSurface to Volume Ratio of Paraboloid given Volume Formula

Surface to Volume Ratio of Paraboloid given Height Example

Surface to Volume Ratio of Paraboloid given Height Solution

Surface to Volume Ratio of Paraboloid given Height Formula Elements

Other Formulas to find Surface to Volume Ratio of Paraboloid

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

FAQs on Surface to Volume Ratio of Paraboloid given Height

Variable Name

GoSurface to Volume Ratio of Paraboloid Formula

GoSurface to Volume Ratio of Paraboloid given Volume Formula