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Total Surface Area of Truncated Cone given Slant Height Formula

GoTotal Surface Area of Truncated Cone given Curved Surface Area Formula

GoTotal Surface Area of Truncated Cone Formula

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Total Surface Area of Truncated Cone is the quantity of plane enclosed by the entire surface of the Truncated Cone. Check FAQs

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

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

Total Surface Area of Truncated Cone given Slant Height Example

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

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

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

267.0354 = 3.1416 \cdot (5^{2} + 2^{2} + (8 \cdot (5 + 2)))

267.0354m² = 3.1416 \cdot ({5m}^{2} + {2m}^{2} + (8m \cdot (5m + 2m)))

267.0354 = 3.1416 \cdot (5^{2} + 2^{2} + (8 \cdot (5 + 2)))

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Total Surface Area of Truncated Cone given Slant Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = π \cdot ({5m}^{2} + {2m}^{2} + (8m \cdot (5m + 2m)))

Next Step Substitute values of Constants

∴

TSA = 3.1416 \cdot ({5m}^{2} + {2m}^{2} + (8m \cdot (5m + 2m)))

Next Step Prepare to Evaluate

∴

TSA = 3.1416 \cdot (5^{2} + 2^{2} + (8 \cdot (5 + 2)))

Next Step Evaluate

∴

TSA = 267.035375555132m²

LAST Step Rounding Answer

∴

TSA = 267.0354m²

Total Surface Area of Truncated Cone given Slant Height Formula Elements

Variables

Constants

Total Surface Area of Truncated Cone

Total Surface Area of Truncated Cone is the quantity of plane enclosed by the entire surface of the Truncated Cone.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Truncated Cone

Base Radius of Truncated Cone

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

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius of Truncated Cone

Top Radius of Truncated Cone

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

Symbol: r_Top

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top Radius of Truncated Cone

Slant Height of Truncated Cone

Slant Height of Truncated Cone is the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone.

Symbol: h_Slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Height of Truncated 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 Truncated Cone

Go Total Surface Area of Truncated Cone given Curved Surface Area

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

Go Total Surface Area of Truncated Cone

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

Go Total Surface Area of Truncated Cone given Volume

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

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

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

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

FAQs on Total Surface Area of Truncated Cone given Slant Height

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

The formula of Total Surface Area of Truncated Cone given Slant Height is expressed as Total Surface Area of Truncated Cone = pi*(Base Radius of Truncated Cone^2+Top Radius of Truncated Cone^2+(Slant Height of Truncated Cone*(Base Radius of Truncated Cone+Top Radius of Truncated Cone))). Here is an example- 267.0354 = pi*(5^2+2^2+(8*(5+2))).

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

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

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

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

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

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

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

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

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

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Total Surface Area of Truncated Cone given Slant Height Formula

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

​GoTotal Surface Area of Truncated Cone Formula

Total Surface Area of Truncated Cone given Slant Height Example

Total Surface Area of Truncated Cone given Slant Height Solution

Total Surface Area of Truncated Cone given Slant Height Formula Elements

Other Formulas to find Total Surface Area of Truncated Cone

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

FAQs on Total Surface Area of Truncated Cone given Slant Height

Variable Name

GoTotal Surface Area of Truncated Cone given Curved Surface Area Formula

GoTotal Surface Area of Truncated Cone Formula