FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Height of Truncated Cone given Curved Surface Area Formula

GoHeight of Truncated Cone given Slant Height Formula

GoHeight of Truncated Cone given Volume Formula

Fx Copy

LaTeX Copy

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

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

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

Height of Truncated Cone given Curved Surface Area Example

With values

With units

Only example

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

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

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

7.1245 = \sqrt{{(\frac{170}{3.1416 \cdot (5 + 2)})}^{2} - {(5 - 2)}^{2}}

7.1245m = \sqrt{{(\frac{170m²}{3.1416 \cdot (5m + 2m)})}^{2} - {(5m - 2m)}^{2}}

7.1245 = \sqrt{{(\frac{170}{3.1416 \cdot (5 + 2)})}^{2} - {(5 - 2)}^{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Height of Truncated Cone given Curved Surface Area

Height of Truncated Cone given Curved Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \sqrt{{(\frac{170m²}{π \cdot (5m + 2m)})}^{2} - {(5m - 2m)}^{2}}

Next Step Substitute values of Constants

∴

h = \sqrt{{(\frac{170m²}{3.1416 \cdot (5m + 2m)})}^{2} - {(5m - 2m)}^{2}}

Next Step Prepare to Evaluate

∴

h = \sqrt{{(\frac{170}{3.1416 \cdot (5 + 2)})}^{2} - {(5 - 2)}^{2}}

Next Step Evaluate

∴

h = 7.12452247918408m

LAST Step Rounding Answer

∴

h = 7.1245m

Height of Truncated Cone given Curved Surface Area Formula Elements

Variables

Constants

Functions

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

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

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 Height of Truncated Cone

Go Height of Truncated Cone given Slant Height

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

Go Height of Truncated Cone given Volume

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

Go Height of Truncated Cone given Total Surface Area

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

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

Height of Truncated Cone given Curved Surface Area evaluator uses Height of Truncated Cone = sqrt((Curved Surface Area of Truncated Cone/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)))^2-(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2) to evaluate the Height of Truncated Cone, The Height of Truncated Cone given Curved Surface Area formula is defined as the vertical distance from the base circular surface to the top most point of the Truncated Cone and calculated using the curved surface area of the Truncated Cone. Height of Truncated Cone is denoted by h symbol.

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

FAQs on Height of Truncated Cone given Curved Surface Area

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

The formula of Height of Truncated Cone given Curved Surface Area is expressed as Height of Truncated Cone = sqrt((Curved Surface Area of Truncated Cone/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)))^2-(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2). Here is an example- 7.124522 = sqrt((170/(pi*(5+2)))^2-(5-2)^2).

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

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

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

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

Height of Truncated Cone=sqrt(Slant Height of Truncated Cone^2-(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2)
Height of Truncated Cone=(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))
Height of Truncated Cone=sqrt(((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)))^2-(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2)

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Height of Truncated Cone given Curved Surface Area Formula

​GoHeight of Truncated Cone given Slant Height Formula

​GoHeight of Truncated Cone given Volume Formula

Height of Truncated Cone given Curved Surface Area Example

Height of Truncated Cone given Curved Surface Area Solution

Height of Truncated Cone given Curved Surface Area Formula Elements

Other Formulas to find Height of Truncated Cone

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

FAQs on Height of Truncated Cone given Curved Surface Area

Variable Name

GoHeight of Truncated Cone given Slant Height Formula

GoHeight of Truncated Cone given Volume Formula