FormulaDen.com

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

Total Surface Area of Paraboloid given Surface to Volume Ratio Formula

GoTotal Surface Area of Paraboloid given Lateral Surface Area Formula

GoTotal Surface Area of Paraboloid given Volume Formula

Fx Copy

LaTeX Copy

Total Surface Area of Paraboloid is the total quantity of two dimensional space enclosed on the entire surface of the Paraboloid. Check FAQs

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

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

Total Surface Area of Paraboloid given Surface to Volume Ratio Example

With values

With units

Only example

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

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

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

1178.0972 = \frac{1}{2} \cdot 3.1416 \cdot 5^{2} \cdot 50 \cdot 0.6

1178.0972m² = \frac{1}{2} \cdot 3.1416 \cdot {5m}^{2} \cdot 50m \cdot 0.6m⁻¹

1178.0972 = \frac{1}{2} \cdot 3.1416 \cdot 5^{2} \cdot 50 \cdot 0.6

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 Total Surface Area of Paraboloid given Surface to Volume Ratio

Total Surface Area of Paraboloid given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = \frac{1}{2} \cdot π \cdot {5m}^{2} \cdot 50m \cdot 0.6m⁻¹

Next Step Substitute values of Constants

∴

TSA = \frac{1}{2} \cdot 3.1416 \cdot {5m}^{2} \cdot 50m \cdot 0.6m⁻¹

Next Step Prepare to Evaluate

∴

TSA = \frac{1}{2} \cdot 3.1416 \cdot 5^{2} \cdot 50 \cdot 0.6

Next Step Evaluate

∴

TSA = 1178.09724509617m²

LAST Step Rounding Answer

∴

TSA = 1178.0972m²

Total Surface Area of Paraboloid given Surface to Volume Ratio Formula Elements

Variables

Constants

Total Surface Area of Paraboloid

Total Surface Area of Paraboloid is the total quantity of two dimensional space enclosed on the entire surface of the Paraboloid.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total 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

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

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 Total Surface Area of Paraboloid

Go Total Surface Area of Paraboloid given Lateral Surface Area

TSA = LSA + π \cdot r^{2}

Go Total Surface Area of Paraboloid given Volume

TSA = (\frac{π \cdot \sqrt{\frac{2 \cdot V}{π \cdot h}}}{6 \cdot h^{2}} \cdot ({(\frac{2 \cdot V}{π \cdot h} + {(2 \cdot h)}^{2})}^{\frac{3}{2}} - \frac{2 \cdot V}{{(π \cdot h)}^{\frac{3}{2}}})) + (π \cdot r^{2})

Go Total Surface Area of Paraboloid

TSA = (\frac{π \cdot r}{6 \cdot h^{2}} \cdot ({(r^{2} + 4 \cdot h^{2})}^{\frac{3}{2}} - r^{3})) + π \cdot r^{2}

Go Total Surface Area of Paraboloid given Radius

TSA = \frac{π}{6 \cdot p^{2}} \cdot ({(1 + 4 \cdot p^{2} \cdot r^{2})}^{\frac{3}{2}} - 1) + (π \cdot r^{2})

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

Total Surface Area of Paraboloid given Surface to Volume Ratio evaluator uses Total Surface Area of Paraboloid = 1/2*pi*Radius of Paraboloid^2*Height of Paraboloid*Surface to Volume Ratio of Paraboloid to evaluate the Total Surface Area of Paraboloid, The Total Surface Area of Paraboloid given Surface to Volume Ratio formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Paraboloid, calculated using surface to volume ratio of Paraboloid. Total Surface Area of Paraboloid is denoted by TSA symbol.

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

FAQs on Total Surface Area of Paraboloid given Surface to Volume Ratio

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

The formula of Total Surface Area of Paraboloid given Surface to Volume Ratio is expressed as Total Surface Area of Paraboloid = 1/2*pi*Radius of Paraboloid^2*Height of Paraboloid*Surface to Volume Ratio of Paraboloid. Here is an example- 1178.097 = 1/2*pi*5^2*50*0.6.

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

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

What are the other ways to Calculate Total Surface Area of Paraboloid?

Here are the different ways to Calculate Total Surface Area of Paraboloid-

Total Surface Area of Paraboloid=Lateral Surface Area of Paraboloid+pi*Radius of Paraboloid^2
Total Surface Area of Paraboloid=((pi*sqrt((2*Volume of Paraboloid)/(pi*Height of Paraboloid)))/(6*Height of Paraboloid^2)*(((2*Volume of Paraboloid)/(pi*Height of Paraboloid)+(2*Height of Paraboloid)^2)^(3/2)-(2*Volume of Paraboloid)/(pi*Height of Paraboloid)^(3/2)))+(pi*Radius of Paraboloid^2)
Total Surface Area 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

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

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

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

Total Surface Area of Paraboloid given Surface to Volume Ratio is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Paraboloid given Surface to Volume Ratio can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Total Surface Area of Paraboloid given Surface to Volume Ratio Formula

​GoTotal Surface Area of Paraboloid given Lateral Surface Area Formula

​GoTotal Surface Area of Paraboloid given Volume Formula

Total Surface Area of Paraboloid given Surface to Volume Ratio Example

Total Surface Area of Paraboloid given Surface to Volume Ratio Solution

Total Surface Area of Paraboloid given Surface to Volume Ratio Formula Elements

Other Formulas to find Total Surface Area of Paraboloid

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

FAQs on Total Surface Area of Paraboloid given Surface to Volume Ratio

Variable Name

GoTotal Surface Area of Paraboloid given Lateral Surface Area Formula

GoTotal Surface Area of Paraboloid given Volume Formula