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Curved Surface Area of Truncated Cone given Volume Formula

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GoCurved Surface Area of Truncated Cone Formula

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Curved Surface Area of Truncated Cone is the quantity of plane enclosed on curved surfaces (that is, top and bottom faces are excluded) of the Truncated Cone. Check FAQs

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

CSA - Curved Surface Area of Truncated Cone?r_Base - Base Radius of Truncated Cone?r_Top - Top Radius of Truncated Cone?V - Volume of Truncated Cone?π - Archimedes' constant?

Curved Surface Area of Truncated Cone given Volume Example

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Here is how the Curved Surface Area of Truncated Cone given Volume equation looks like with Values.

Here is how the Curved Surface Area of Truncated Cone given Volume equation looks like with Units.

Here is how the Curved Surface Area of Truncated Cone given Volume equation looks like.

169.5185 = 3.1416 \cdot (5 + 2) \cdot \sqrt{{(5 - 2)}^{2} + {(\frac{3 \cdot 290}{3.1416 \cdot (5^{2} + (5 \cdot 2) + 2^{2})})}^{2}}

169.5185m² = 3.1416 \cdot (5m + 2m) \cdot \sqrt{{(5m - 2m)}^{2} + {(\frac{3 \cdot 290m³}{3.1416 \cdot ({5m}^{2} + (5m \cdot 2m) + {2m}^{2})})}^{2}}

169.5185 = 3.1416 \cdot (5 + 2) \cdot \sqrt{{(5 - 2)}^{2} + {(\frac{3 \cdot 290}{3.1416 \cdot (5^{2} + (5 \cdot 2) + 2^{2})})}^{2}}

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Curved Surface Area of Truncated Cone given Volume Solution

Follow our step by step solution on how to calculate Curved Surface Area of Truncated Cone given Volume?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

CSA = π \cdot (5m + 2m) \cdot \sqrt{{(5m - 2m)}^{2} + {(\frac{3 \cdot 290m³}{π \cdot ({5m}^{2} + (5m \cdot 2m) + {2m}^{2})})}^{2}}

Next Step Substitute values of Constants

∴

CSA = 3.1416 \cdot (5m + 2m) \cdot \sqrt{{(5m - 2m)}^{2} + {(\frac{3 \cdot 290m³}{3.1416 \cdot ({5m}^{2} + (5m \cdot 2m) + {2m}^{2})})}^{2}}

Next Step Prepare to Evaluate

∴

CSA = 3.1416 \cdot (5 + 2) \cdot \sqrt{{(5 - 2)}^{2} + {(\frac{3 \cdot 290}{3.1416 \cdot (5^{2} + (5 \cdot 2) + 2^{2})})}^{2}}

Next Step Evaluate

∴

CSA = 169.518492234681m²

LAST Step Rounding Answer

∴

CSA = 169.5185m²

Curved Surface Area of Truncated Cone given Volume Formula Elements

Variables

Constants

Functions

Curved Surface Area of Truncated Cone

Curved Surface Area of Truncated Cone is the quantity of plane enclosed on curved surfaces (that is, top and bottom faces are excluded) of the Truncated Cone.

Symbol: CSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Curved 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

Volume of Truncated Cone

Volume of Truncated Cone is the total quantity of three dimensional space enclosed by the entire surface of the Truncated Cone.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Curved Surface Area of Truncated Cone

Go Curved Surface Area of Truncated Cone given Slant Height

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

Go Curved Surface Area of Truncated Cone

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

Go Curved Surface Area of Truncated Cone given Total Surface Area

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

How to Evaluate Curved Surface Area of Truncated Cone given Volume?

Curved Surface Area of Truncated Cone given Volume evaluator uses Curved Surface Area of Truncated Cone = pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)*sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+((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) to evaluate the Curved Surface Area of Truncated Cone, The Curved Surface Area of Truncated Cone given Volume formula is defined as the quantity of plane enclosed on curved surfaces (that is, top and bottom faces are excluded) of the Truncated Cone, and calculated using the volume of Truncated Cone. Curved Surface Area of Truncated Cone is denoted by CSA symbol.

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

FAQs on Curved Surface Area of Truncated Cone given Volume

What is the formula to find Curved Surface Area of Truncated Cone given Volume?

The formula of Curved Surface Area of Truncated Cone given Volume is expressed as Curved Surface Area of Truncated Cone = pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)*sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+((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). Here is an example- 169.5185 = pi*(5+2)*sqrt((5-2)^2+((3*290)/(pi*(5^2+(5*2)+2^2)))^2).

How to calculate Curved Surface Area of Truncated Cone given Volume?

With Base Radius of Truncated Cone (r_Base), Top Radius of Truncated Cone (r_Top) & Volume of Truncated Cone (V) we can find Curved Surface Area of Truncated Cone given Volume using the formula - Curved Surface Area of Truncated Cone = pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)*sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+((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). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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

Here are the different ways to Calculate Curved Surface Area 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
Curved Surface Area of Truncated Cone=pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)*sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+Height of Truncated Cone^2)
Curved Surface Area of Truncated Cone=Total Surface Area of Truncated Cone-pi*(Base Radius of Truncated Cone^2+Top Radius of Truncated Cone^2)

Can the Curved Surface Area of Truncated Cone given Volume be negative?

No, the Curved Surface Area of Truncated Cone given Volume, measured in Area cannot be negative.

Which unit is used to measure Curved Surface Area of Truncated Cone given Volume?

Curved Surface Area of Truncated Cone given Volume 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 Curved Surface Area of Truncated Cone given Volume can be measured.

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Curved Surface Area of Truncated Cone given Volume Formula

​GoCurved Surface Area of Truncated Cone given Slant Height Formula

​GoCurved Surface Area of Truncated Cone Formula

Curved Surface Area of Truncated Cone given Volume Example

Curved Surface Area of Truncated Cone given Volume Solution

Curved Surface Area of Truncated Cone given Volume Formula Elements

Other Formulas to find Curved Surface Area of Truncated Cone

How to Evaluate Curved Surface Area of Truncated Cone given Volume?

FAQs on Curved Surface Area of Truncated Cone given Volume

Variable Name

GoCurved Surface Area of Truncated Cone given Slant Height Formula

GoCurved Surface Area of Truncated Cone Formula