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Total Surface Area of Paraboloid given Height Formula

GoTotal Surface Area of Paraboloid Formula

GoTotal Surface Area of Paraboloid given Lateral Surface Area Formula

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

TSA - Total Surface Area of Paraboloid?p - Shape Parameter of Paraboloid?h - Height of Paraboloid?π - Archimedes' constant?

Total Surface Area of Paraboloid given Height Example

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

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

Here is how the Total Surface Area of Paraboloid given Height equation looks like.

1129.5359 = \frac{3.1416}{6 \cdot 2^{2}} \cdot ({(1 + 4 \cdot 2 \cdot 50)}^{\frac{3}{2}} - 1) + \frac{3.1416 \cdot 50}{2}

1129.5359m² = \frac{3.1416}{6 \cdot 2^{2}} \cdot ({(1 + 4 \cdot 2 \cdot 50m)}^{\frac{3}{2}} - 1) + \frac{3.1416 \cdot 50m}{2}

1129.5359 = \frac{3.1416}{6 \cdot 2^{2}} \cdot ({(1 + 4 \cdot 2 \cdot 50)}^{\frac{3}{2}} - 1) + \frac{3.1416 \cdot 50}{2}

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Total Surface Area of Paraboloid given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

TSA = 1129.53591200699m²

LAST Step Rounding Answer

∴

TSA = 1129.5359m²

Total Surface Area of Paraboloid given Height 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

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

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

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 Lateral Surface Area

TSA = LSA + 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})

Other formulas in Total Surface Area of Paraboloid category

Go Lateral Surface Area of Paraboloid

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

Go Lateral Surface Area of Paraboloid given Height

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

Go Lateral Surface Area of Paraboloid given Total Surface Area

LSA = TSA - π \cdot r^{2}

How to Evaluate Total Surface Area of Paraboloid given Height?

Total Surface Area of Paraboloid given Height evaluator uses Total Surface Area of Paraboloid = pi/(6*Shape Parameter of Paraboloid^2)*((1+4*Shape Parameter of Paraboloid*Height of Paraboloid)^(3/2)-1)+(pi*Height of Paraboloid)/Shape Parameter of Paraboloid to evaluate the Total Surface Area of Paraboloid, The Total Surface Area of Paraboloid given Height formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Paraboloid, calculated using height of Paraboloid. Total Surface Area of Paraboloid is denoted by TSA symbol.

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

FAQs on Total Surface Area of Paraboloid given Height

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

The formula of Total Surface Area of Paraboloid given Height is expressed as Total Surface Area of Paraboloid = pi/(6*Shape Parameter of Paraboloid^2)*((1+4*Shape Parameter of Paraboloid*Height of Paraboloid)^(3/2)-1)+(pi*Height of Paraboloid)/Shape Parameter of Paraboloid. Here is an example- 1129.536 = pi/(6*2^2)*((1+4*2*50)^(3/2)-1)+(pi*50)/2.

How to calculate Total Surface Area of Paraboloid given Height?

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

Can the Total Surface Area of Paraboloid given Height be negative?

No, the Total Surface Area of Paraboloid given Height, measured in Area cannot be negative.

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

Total Surface Area of Paraboloid given Height 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 Height can be measured.

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Total Surface Area of Paraboloid given Height Formula

​GoTotal Surface Area of Paraboloid Formula

​GoTotal Surface Area of Paraboloid given Lateral Surface Area Formula

Total Surface Area of Paraboloid given Height Example

Total Surface Area of Paraboloid given Height Solution

Total Surface Area of Paraboloid given Height Formula Elements

Other Formulas to find Total Surface Area of Paraboloid

Other formulas in Total Surface Area of Paraboloid category

How to Evaluate Total Surface Area of Paraboloid given Height?

FAQs on Total Surface Area of Paraboloid given Height

Variable Name

GoTotal Surface Area of Paraboloid Formula

GoTotal Surface Area of Paraboloid given Lateral Surface Area Formula