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Total Surface Area of Paraboloid given Radius Formula

GoTotal Surface Area of Paraboloid Formula

GoTotal Surface Area of Paraboloid given Height 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^{2} \cdot r^{2})}^{\frac{3}{2}} - 1) + (π \cdot r^{2})

TSA - Total Surface Area of Paraboloid?p - Shape Parameter of Paraboloid?r - Radius of Paraboloid?π - Archimedes' constant?

Total Surface Area of Paraboloid given Radius Example

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

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

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

1129.5359 = \frac{3.1416}{6 \cdot 2^{2}} \cdot ({(1 + 4 \cdot 2^{2} \cdot 5^{2})}^{\frac{3}{2}} - 1) + (3.1416 \cdot 5^{2})

1129.5359m² = \frac{3.1416}{6 \cdot 2^{2}} \cdot ({(1 + 4 \cdot 2^{2} \cdot {5m}^{2})}^{\frac{3}{2}} - 1) + (3.1416 \cdot {5m}^{2})

1129.5359 = \frac{3.1416}{6 \cdot 2^{2}} \cdot ({(1 + 4 \cdot 2^{2} \cdot 5^{2})}^{\frac{3}{2}} - 1) + (3.1416 \cdot 5^{2})

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Total Surface Area of Paraboloid given Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = \frac{π}{6 \cdot 2^{2}} \cdot ({(1 + 4 \cdot 2^{2} \cdot {5m}^{2})}^{\frac{3}{2}} - 1) + (π \cdot {5m}^{2})

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

TSA = 1129.53591200699m²

LAST Step Rounding Answer

∴

TSA = 1129.5359m²

Total Surface Area of Paraboloid given Radius 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

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

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 Height

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

Go Total Surface Area of Paraboloid given Lateral Surface Area

TSA = LSA + 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 Radius?

Total Surface Area of Paraboloid given Radius evaluator uses 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) to evaluate the Total Surface Area of Paraboloid, The Total Surface Area of Paraboloid given Radius formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Paraboloid, calculated using radius of Paraboloid. Total Surface Area of Paraboloid is denoted by TSA symbol.

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

FAQs on Total Surface Area of Paraboloid given Radius

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

The formula of Total Surface Area of Paraboloid given Radius is expressed as 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). Here is an example- 1129.536 = pi/(6*2^2)*((1+4*2^2*5^2)^(3/2)-1)+(pi*5^2).

How to calculate Total Surface Area of Paraboloid given Radius?

With Shape Parameter of Paraboloid (p) & Radius of Paraboloid (r) we can find Total Surface Area of Paraboloid given Radius using the formula - 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). 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=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
Total Surface Area of Paraboloid=Lateral Surface Area of Paraboloid+pi*Radius of Paraboloid^2

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

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

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

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

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Total Surface Area of Paraboloid given Radius Formula

​GoTotal Surface Area of Paraboloid Formula

​GoTotal Surface Area of Paraboloid given Height Formula

Total Surface Area of Paraboloid given Radius Example

Total Surface Area of Paraboloid given Radius Solution

Total Surface Area of Paraboloid given Radius 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 Radius?

FAQs on Total Surface Area of Paraboloid given Radius

Variable Name

GoTotal Surface Area of Paraboloid Formula

GoTotal Surface Area of Paraboloid given Height Formula