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Slant Height of Frustum of Cone given Total Surface Area Formula

GoSlant Height of Frustum of Cone Formula

GoSlant Height of Frustum of Cone given Curved Surface Area Formula

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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. Check FAQs

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

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

Slant Height of Frustum of Cone given Total Surface Area Example

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

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

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

9.7042 = \frac{\frac{850}{3.1416} - (10^{2} + 5^{2})}{10 + 5}

9.7042m = \frac{\frac{850m²}{3.1416} - ({10m}^{2} + {5m}^{2})}{10m + 5m}

9.7042 = \frac{\frac{850}{3.1416} - (10^{2} + 5^{2})}{10 + 5}

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Slant Height of Frustum of Cone given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h Slant = \frac{\frac{850m²}{π} - ({10m}^{2} + {5m}^{2})}{10m + 5m}

Next Step Substitute values of Constants

∴

h Slant = \frac{\frac{850m²}{3.1416} - ({10m}^{2} + {5m}^{2})}{10m + 5m}

Next Step Prepare to Evaluate

∴

h Slant = \frac{\frac{850}{3.1416} - (10^{2} + 5^{2})}{10 + 5}

Next Step Evaluate

∴

h Slant = 9.70422688374814m

LAST Step Rounding Answer

∴

h Slant = 9.7042m

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

Variables

Constants

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

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

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 Frustum of Cone

Go Slant Height of Frustum of Cone

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

Go Slant Height of Frustum of Cone given Curved Surface Area

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

Go Slant Height of Frustum of Cone given Volume

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

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

Slant Height of Frustum of Cone given Total Surface Area evaluator uses Slant Height of Frustum of Cone = (Total Surface Area 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) to evaluate the Slant Height of Frustum of Cone, The Slant Height of Frustum of Cone given Total Surface Area formula is defined as the length of the line segment joining the extremities of two parallel radii, drawn in the same direction of the two circular bases of Frustum of Cone, calculated using total surface area of Frustum of Cone. Slant Height of Frustum of Cone is denoted by h_Slant symbol.

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

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

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

The formula of Slant Height of Frustum of Cone given Total Surface Area is expressed as Slant Height of Frustum of Cone = (Total Surface Area 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). Here is an example- 9.704227 = (850/pi-(10^2+5^2))/(10+5).

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

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

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

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

Slant Height of Frustum of Cone=sqrt(Height of Frustum of Cone^2+(Top Radius of Frustum of Cone-Base Radius of Frustum of Cone)^2)
Slant Height of Frustum of Cone=Curved 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=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)

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

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

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

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

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Slant Height of Frustum of Cone given Total Surface Area Formula

​GoSlant Height of Frustum of Cone Formula

​GoSlant Height of Frustum of Cone given Curved Surface Area Formula

Slant Height of Frustum of Cone given Total Surface Area Example

Slant Height of Frustum of Cone given Total Surface Area Solution

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

Other Formulas to find Slant Height of Frustum of Cone

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

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

Variable Name

GoSlant Height of Frustum of Cone Formula

GoSlant Height of Frustum of Cone given Curved Surface Area Formula