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Total Surface Area of Frustum of Cone given Slant Height Formula

GoTotal Surface Area of Frustum of Cone Formula

GoTotal Surface Area of Frustum of Cone given Curved Surface Area Formula

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Total Surface Area of Frustum of Cone is the total quantity of plane enclosed on the entire surface of the Frustum of the Cone. Check FAQs

TSA = π \cdot (((r Top + r Base) \cdot h Slant) + {r Top}^{2} + {r Base}^{2})

TSA - Total Surface Area of Frustum of Cone?r_Top - Top Radius of Frustum of Cone?r_Base - Base Radius of Frustum of Cone?h_Slant - Slant Height of Frustum of Cone?π - Archimedes' constant?

Total Surface Area of Frustum of Cone given Slant Height Example

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

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

Here is how the Total Surface Area of Frustum of Cone given Slant Height equation looks like.

816.8141 = 3.1416 \cdot (((10 + 5) \cdot 9) + 10^{2} + 5^{2})

816.8141m² = 3.1416 \cdot (((10m + 5m) \cdot 9m) + {10m}^{2} + {5m}^{2})

816.8141 = 3.1416 \cdot (((10 + 5) \cdot 9) + 10^{2} + 5^{2})

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Total Surface Area of Frustum of Cone given Slant Height Solution

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

FIRST Step Consider the formula

TSA = π \cdot (((r Top + r Base) \cdot h Slant) + {r Top}^{2} + {r Base}^{2})

Next Step Substitute values of Variables

∴

TSA = π \cdot (((10m + 5m) \cdot 9m) + {10m}^{2} + {5m}^{2})

Next Step Substitute values of Constants

∴

TSA = 3.1416 \cdot (((10m + 5m) \cdot 9m) + {10m}^{2} + {5m}^{2})

Next Step Prepare to Evaluate

∴

TSA = 3.1416 \cdot (((10 + 5) \cdot 9) + 10^{2} + 5^{2})

Next Step Evaluate

∴

TSA = 816.814089933346m²

LAST Step Rounding Answer

∴

TSA = 816.8141m²

Total Surface Area of Frustum of Cone given Slant Height Formula Elements

Variables

Constants

Total Surface Area of Frustum of Cone

Total Surface Area of Frustum of Cone is the total quantity of plane enclosed on the entire surface of the Frustum of the Cone.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Frustum of Cone

Top Radius of Frustum of Cone

Top Radius of Frustum of Cone is the distance between the center and any point on the circumference of the top circular surface of the Frustum of the Cone.

Symbol: r_Top

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top Radius of Frustum of Cone

Base Radius of Frustum of Cone

Base Radius of Frustum of Cone is the distance between the center and any point on the circumference of the base circular surface of the Frustum of the Cone.

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius of Frustum of Cone

Slant Height of Frustum of Cone

The Slant Height of Frustum of Cone is the length of the line segment joining the extremities of two parallel radii, drawn in the same direction of the two circular bases.

Symbol: h_Slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Height of Frustum of Cone

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 Frustum of Cone

Go Total Surface Area of Frustum of Cone

TSA = π \cdot (((r Top + r Base) \cdot \sqrt{{(r Top - r Base)}^{2} + h^{2}}) + {r Top}^{2} + {r Base}^{2})

Go Total Surface Area of Frustum of Cone given Curved Surface Area

TSA = CSA + (π \cdot ({r Top}^{2} + {r Base}^{2}))

Go Total Surface Area of Frustum of Cone given Volume

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

Other formulas in Total Surface Area of Frustum of Cone category

Go Base Area of Frustum of Cone

A Base = π \cdot {r Base}^{2}

Go Top Area of Frustum of Cone

A Top = π \cdot {r Top}^{2}

Go Curved Surface Area of Frustum of Cone

CSA = π \cdot (r Top + r Base) \cdot \sqrt{{(r Top - r Base)}^{2} + h^{2}}

Go Curved Surface Area of Frustum of Cone given Slant Height

CSA = π \cdot (r Top + r Base) \cdot h Slant

How to Evaluate Total Surface Area of Frustum of Cone given Slant Height?

Total Surface Area of Frustum of Cone given Slant Height evaluator uses Total Surface Area of Frustum of Cone = pi*(((Top Radius of Frustum of Cone+Base Radius of Frustum of Cone)*Slant Height of Frustum of Cone)+Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2) to evaluate the Total Surface Area of Frustum of Cone, Total Surface Area of Frustum of Cone given Slant Height formula is defined as the total quantity of plane enclosed on the entire surface of the Frustum of Cone, calculated using the slant height, top radius and base radius of the Frustum of Cone. Total Surface Area of Frustum of Cone is denoted by TSA symbol.

How to evaluate Total Surface Area of Frustum of Cone given Slant Height using this online evaluator? To use this online evaluator for Total Surface Area of Frustum of Cone given Slant Height, enter Top Radius of Frustum of Cone (r_Top), Base Radius of Frustum of Cone (r_Base) & Slant Height of Frustum of Cone (h_Slant) and hit the calculate button.

FAQs on Total Surface Area of Frustum of Cone given Slant Height

What is the formula to find Total Surface Area of Frustum of Cone given Slant Height?

The formula of Total Surface Area of Frustum of Cone given Slant Height is expressed as Total Surface Area of Frustum of Cone = pi*(((Top Radius of Frustum of Cone+Base Radius of Frustum of Cone)*Slant Height of Frustum of Cone)+Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2). Here is an example- 816.8141 = pi*(((10+5)*9)+10^2+5^2).

How to calculate Total Surface Area of Frustum of Cone given Slant Height?

With Top Radius of Frustum of Cone (r_Top), Base Radius of Frustum of Cone (r_Base) & Slant Height of Frustum of Cone (h_Slant) we can find Total Surface Area of Frustum of Cone given Slant Height using the formula - Total Surface Area of Frustum of Cone = pi*(((Top Radius of Frustum of Cone+Base Radius of Frustum of Cone)*Slant Height of Frustum of Cone)+Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2). This formula also uses Archimedes' constant .

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

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

Total Surface Area of Frustum of Cone=pi*(((Top Radius of Frustum of Cone+Base Radius of Frustum of Cone)*sqrt((Top Radius of Frustum of Cone-Base Radius of Frustum of Cone)^2+Height of Frustum of Cone^2))+Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2)
Total Surface Area of Frustum of Cone=Curved Surface Area of Frustum of Cone+(pi*(Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2))
Total Surface Area of Frustum of Cone=pi*(((Top Radius of Frustum of Cone+Base Radius of Frustum of Cone)*sqrt(((3*Volume of Frustum of Cone)/(pi*(Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2+(Top Radius of Frustum of Cone*Base Radius of Frustum of Cone))))^2+(Top Radius of Frustum of Cone-Base Radius of Frustum of Cone)^2))+Top Radius of Frustum of Cone^2+Base Radius of Frustum of Cone^2)

Can the Total Surface Area of Frustum of Cone given Slant Height be negative?

No, the Total Surface Area of Frustum of Cone given Slant Height, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Frustum of Cone given Slant Height?

Total Surface Area of Frustum of Cone given Slant 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 Frustum of Cone given Slant Height can be measured.

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Total Surface Area of Frustum of Cone given Slant Height Formula

​GoTotal Surface Area of Frustum of Cone Formula

​GoTotal Surface Area of Frustum of Cone given Curved Surface Area Formula

Total Surface Area of Frustum of Cone given Slant Height Example

Total Surface Area of Frustum of Cone given Slant Height Solution

Total Surface Area of Frustum of Cone given Slant Height Formula Elements

Other Formulas to find Total Surface Area of Frustum of Cone

Other formulas in Total Surface Area of Frustum of Cone category

How to Evaluate Total Surface Area of Frustum of Cone given Slant Height?

FAQs on Total Surface Area of Frustum of Cone given Slant Height

Variable Name

GoTotal Surface Area of Frustum of Cone Formula

GoTotal Surface Area of Frustum of Cone given Curved Surface Area Formula