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Total Surface Area of Truncated Cone Formula

GoTotal Surface Area of Truncated Cone given Curved Surface Area Formula

GoTotal Surface Area of Truncated Cone given Slant Height 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} + (\sqrt{{(r Top - r Base)}^{2} + h^{2}} \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 - Height of Truncated Cone?π - Archimedes' constant?

Total Surface Area of Truncated Cone Example

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

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

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

258.5858 = 3.1416 \cdot (5^{2} + 2^{2} + (\sqrt{{(2 - 5)}^{2} + 7^{2}} \cdot (5 + 2)))

258.5858m² = 3.1416 \cdot ({5m}^{2} + {2m}^{2} + (\sqrt{{(2m - 5m)}^{2} + {7m}^{2}} \cdot (5m + 2m)))

258.5858 = 3.1416 \cdot (5^{2} + 2^{2} + (\sqrt{{(2 - 5)}^{2} + 7^{2}} \cdot (5 + 2)))

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Total Surface Area of Truncated Cone Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = π \cdot ({5m}^{2} + {2m}^{2} + (\sqrt{{(2m - 5m)}^{2} + {7m}^{2}} \cdot (5m + 2m)))

Next Step Substitute values of Constants

∴

TSA = 3.1416 \cdot ({5m}^{2} + {2m}^{2} + (\sqrt{{(2m - 5m)}^{2} + {7m}^{2}} \cdot (5m + 2m)))

Next Step Prepare to Evaluate

∴

TSA = 3.1416 \cdot (5^{2} + 2^{2} + (\sqrt{{(2 - 5)}^{2} + 7^{2}} \cdot (5 + 2)))

Next Step Evaluate

∴

TSA = 258.585784839625m²

LAST Step Rounding Answer

∴

TSA = 258.5858m²

Total Surface Area of Truncated Cone Formula Elements

Variables

Constants

Functions

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

Height of Truncated Cone

Height of Truncated Cone is the vertical distance from the base circular surface to the top most point of the Truncated Cone.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find 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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 given Slant Height

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

Total Surface Area of Truncated Cone evaluator uses 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))) to evaluate the Total Surface Area of Truncated Cone, The Total Surface Area of Truncated Cone formula is defined as the quantity of plane enclosed by the entire surface of the Truncated Cone. Total Surface Area of Truncated Cone is denoted by TSA symbol.

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

FAQs on Total Surface Area of Truncated Cone

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

The formula of Total Surface Area of Truncated Cone is expressed as 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))). Here is an example- 258.5858 = pi*(5^2+2^2+(sqrt((2-5)^2+7^2)*(5+2))).

How to calculate Total Surface Area of Truncated Cone?

With Base Radius of Truncated Cone (r_Base), Top Radius of Truncated Cone (r_Top) & Height of Truncated Cone (h) we can find Total Surface Area of Truncated Cone using the formula - 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))). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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+(Slant Height of Truncated Cone*(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 be negative?

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

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

Total Surface Area of Truncated Cone 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 can be measured.

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Total Surface Area of Truncated Cone Formula

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

​GoTotal Surface Area of Truncated Cone given Slant Height Formula

Total Surface Area of Truncated Cone Example

Total Surface Area of Truncated Cone Solution

Total Surface Area of Truncated Cone Formula Elements

Other Formulas to find Total Surface Area of Truncated Cone

How to Evaluate Total Surface Area of Truncated Cone?

FAQs on Total Surface Area of Truncated Cone

Variable Name

GoTotal Surface Area of Truncated Cone given Curved Surface Area Formula

GoTotal Surface Area of Truncated Cone given Slant Height Formula