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Slant Height of Truncated Cone given Total Surface Area Formula

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GoSlant Height of Truncated Cone given Curved Surface Area Formula

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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. Check FAQs

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

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

Slant Height of Truncated Cone given Total Surface Area Example

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

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

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

7.6801 = \frac{260 - 3.1416 \cdot (5^{2} + 2^{2})}{3.1416 \cdot (5 + 2)}

7.6801m = \frac{260m² - 3.1416 \cdot ({5m}^{2} + {2m}^{2})}{3.1416 \cdot (5m + 2m)}

7.6801 = \frac{260 - 3.1416 \cdot (5^{2} + 2^{2})}{3.1416 \cdot (5 + 2)}

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Slant Height of Truncated Cone given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h Slant = \frac{260m² - π \cdot ({5m}^{2} + {2m}^{2})}{π \cdot (5m + 2m)}

Next Step Substitute values of Constants

∴

h Slant = \frac{260m² - 3.1416 \cdot ({5m}^{2} + {2m}^{2})}{3.1416 \cdot (5m + 2m)}

Next Step Prepare to Evaluate

∴

h Slant = \frac{260 - 3.1416 \cdot (5^{2} + 2^{2})}{3.1416 \cdot (5 + 2)}

Next Step Evaluate

∴

h Slant = 7.68008148682651m

LAST Step Rounding Answer

∴

h Slant = 7.6801m

Slant Height of Truncated Cone given Total Surface Area Formula Elements

Variables

Constants

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

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

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 Slant Height of Truncated Cone

Go Slant Height of Truncated Cone

h Slant = \sqrt{{(r Base - r Top)}^{2} + h^{2}}

Go Slant Height of Truncated Cone given Curved Surface Area

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

Go Slant Height of Truncated Cone given Volume

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

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

Slant Height of Truncated Cone given Total Surface Area evaluator uses Slant Height of Truncated Cone = (Total Surface Area of Truncated Cone-pi*(Base Radius of Truncated Cone^2+Top Radius of Truncated Cone^2))/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)) to evaluate the Slant Height of Truncated Cone, The Slant Height of Truncated Cone given Total Surface Area formula is defined as the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone, and calculated using the total surface area of Truncated Cone. Slant Height of Truncated Cone is denoted by h_Slant symbol.

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

FAQs on Slant Height of Truncated Cone given Total Surface Area

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

The formula of Slant Height of Truncated Cone given Total Surface Area is expressed as Slant Height of Truncated Cone = (Total Surface Area of Truncated Cone-pi*(Base Radius of Truncated Cone^2+Top Radius of Truncated Cone^2))/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)). Here is an example- 7.680081 = (260-pi*(5^2+2^2))/(pi*(5+2)).

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

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

What are the other ways to Calculate Slant Height of Truncated Cone?

Here are the different ways to Calculate Slant Height of Truncated Cone-

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

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

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

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

Slant Height of Truncated Cone given Total Surface Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Slant Height of Truncated Cone given Total Surface Area can be measured.

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Slant Height of Truncated Cone given Total Surface Area Formula

​GoSlant Height of Truncated Cone Formula

​GoSlant Height of Truncated Cone given Curved Surface Area Formula

Slant Height of Truncated Cone given Total Surface Area Example

Slant Height of Truncated Cone given Total Surface Area Solution

Slant Height of Truncated Cone given Total Surface Area Formula Elements

Other Formulas to find Slant Height of Truncated Cone

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

FAQs on Slant Height of Truncated Cone given Total Surface Area

Variable Name

GoSlant Height of Truncated Cone Formula

GoSlant Height of Truncated Cone given Curved Surface Area Formula