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Height of Frustum of Cone given Volume, Top Area and Base Area Formula

GoHeight of Frustum of Cone given Volume and Base Area Formula

GoHeight of Frustum of Cone given Volume and Top Area Formula

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Height of Frustum of Cone is the maximum vertical distance from the bottom to the top circular face of the Frustum of the Cone. Check FAQs

h = \frac{3 \cdot V}{A Top + A Base + (\sqrt{A Top \cdot A Base})}

h - Height of Frustum of Cone?V - Volume of Frustum of Cone?A_Top - Top Area of Frustum of Cone?A_Base - Base Area of Frustum of Cone?

Height of Frustum of Cone given Volume, Top Area and Base Area Example

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Here is how the Height of Frustum of Cone given Volume, Top Area and Base Area equation looks like with Values.

Here is how the Height of Frustum of Cone given Volume, Top Area and Base Area equation looks like with Units.

Here is how the Height of Frustum of Cone given Volume, Top Area and Base Area equation looks like.

8.1265 = \frac{3 \cdot 1500}{315 + 80 + (\sqrt{315 \cdot 80})}

8.1265m = \frac{3 \cdot 1500m³}{315m² + 80m² + (\sqrt{315m² \cdot 80m²})}

8.1265 = \frac{3 \cdot 1500}{315 + 80 + (\sqrt{315 \cdot 80})}

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Height of Frustum of Cone given Volume, Top Area and Base Area Solution

Follow our step by step solution on how to calculate Height of Frustum of Cone given Volume, Top Area and Base Area?

FIRST Step Consider the formula

h = \frac{3 \cdot V}{A Top + A Base + (\sqrt{A Top \cdot A Base})}

Next Step Substitute values of Variables

∴

h = \frac{3 \cdot 1500m³}{315m² + 80m² + (\sqrt{315m² \cdot 80m²})}

Next Step Prepare to Evaluate

∴

h = \frac{3 \cdot 1500}{315 + 80 + (\sqrt{315 \cdot 80})}

Next Step Evaluate

∴

h = 8.1264830576156m

LAST Step Rounding Answer

∴

h = 8.1265m

Height of Frustum of Cone given Volume, Top Area and Base Area Formula Elements

Variables

Functions

Height of Frustum of Cone

Height of Frustum of Cone is the maximum vertical distance from the bottom to the top circular face of the Frustum of the Cone.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Frustum of Cone

Volume of Frustum of Cone

Volume of Frustum of Cone is the quantity of three-dimensional space enclosed by the entire surface of the Frustum of the Cone.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Frustum of Cone

Top Area of Frustum of Cone

Top Area of Frustum of Cone is the total amount of two-dimensional space occupied by the top face of the Frustum of the Cone.

Symbol: A_Top

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Top Area of Frustum of Cone

Base Area of Frustum of Cone

The Base Area of Frustum of Cone is the total amount of two-dimensional space occupied by the base face of the Frustum of the Cone.

Symbol: A_Base

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Base Area of Frustum of Cone

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 Frustum of Cone

Go Height of Frustum of Cone given Volume and Base Area

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

Go Height of Frustum of Cone given Volume and Top Area

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

Go Height of Frustum of Cone given Total Surface Area and Base Area

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

Go Height of Frustum of Cone given Total Surface Area and Top Area

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

How to Evaluate Height of Frustum of Cone given Volume, Top Area and Base Area?

Height of Frustum of Cone given Volume, Top Area and Base Area evaluator uses Height of Frustum of Cone = (3*Volume of Frustum of Cone)/(Top Area of Frustum of Cone+Base Area of Frustum of Cone+(sqrt(Top Area of Frustum of Cone*Base Area of Frustum of Cone))) to evaluate the Height of Frustum of Cone, The Height of Frustum of Cone given Volume, Top Area and Base Area formula is defined as the maximum vertical distance from the bottom to the top circular face of the Frustum of the Cone and calculated using the volume, top area, and base area of the Frustum of Cone. Height of Frustum of Cone is denoted by h symbol.

How to evaluate Height of Frustum of Cone given Volume, Top Area and Base Area using this online evaluator? To use this online evaluator for Height of Frustum of Cone given Volume, Top Area and Base Area, enter Volume of Frustum of Cone (V), Top Area of Frustum of Cone (A_Top) & Base Area of Frustum of Cone (A_Base) and hit the calculate button.

FAQs on Height of Frustum of Cone given Volume, Top Area and Base Area

What is the formula to find Height of Frustum of Cone given Volume, Top Area and Base Area?

The formula of Height of Frustum of Cone given Volume, Top Area and Base Area is expressed as Height of Frustum of Cone = (3*Volume of Frustum of Cone)/(Top Area of Frustum of Cone+Base Area of Frustum of Cone+(sqrt(Top Area of Frustum of Cone*Base Area of Frustum of Cone))). Here is an example- 8.126483 = (3*1500)/(315+80+(sqrt(315*80))).

How to calculate Height of Frustum of Cone given Volume, Top Area and Base Area?

With Volume of Frustum of Cone (V), Top Area of Frustum of Cone (A_Top) & Base Area of Frustum of Cone (A_Base) we can find Height of Frustum of Cone given Volume, Top Area and Base Area using the formula - Height of Frustum of Cone = (3*Volume of Frustum of Cone)/(Top Area of Frustum of Cone+Base Area of Frustum of Cone+(sqrt(Top Area of Frustum of Cone*Base Area of Frustum of Cone))). This formula also uses Square Root (sqrt) function(s).

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

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

Height of Frustum of Cone=(3*Volume of Frustum of Cone)/(pi*(Top Radius of Frustum of Cone^2+Base Area of Frustum of Cone/pi+(Top Radius of Frustum of Cone*sqrt(Base Area of Frustum of Cone/pi))))
Height of Frustum of Cone=(3*Volume of Frustum of Cone)/(pi*(Top Area of Frustum of Cone/pi+Base Radius of Frustum of Cone^2+(sqrt(Top Area of Frustum of Cone/pi)*Base Radius of Frustum of Cone)))
Height of Frustum of Cone=sqrt(((Total Surface Area of Frustum of Cone/pi-(Top Radius of Frustum of Cone^2+Base Area of Frustum of Cone/pi))/(Top Radius of Frustum of Cone+sqrt(Base Area of Frustum of Cone/pi)))^2-(Top Radius of Frustum of Cone-sqrt(Base Area of Frustum of Cone/pi))^2)

Can the Height of Frustum of Cone given Volume, Top Area and Base Area be negative?

No, the Height of Frustum of Cone given Volume, Top Area and Base Area, measured in Length cannot be negative.

Which unit is used to measure Height of Frustum of Cone given Volume, Top Area and Base Area?

Height of Frustum of Cone given Volume, Top Area and Base 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 Frustum of Cone given Volume, Top Area and Base Area can be measured.

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Height of Frustum of Cone given Volume, Top Area and Base Area Formula

​GoHeight of Frustum of Cone given Volume and Base Area Formula

​GoHeight of Frustum of Cone given Volume and Top Area Formula

Height of Frustum of Cone given Volume, Top Area and Base Area Example

Height of Frustum of Cone given Volume, Top Area and Base Area Solution

Height of Frustum of Cone given Volume, Top Area and Base Area Formula Elements

Other Formulas to find Height of Frustum of Cone

How to Evaluate Height of Frustum of Cone given Volume, Top Area and Base Area?

FAQs on Height of Frustum of Cone given Volume, Top Area and Base Area

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GoHeight of Frustum of Cone given Volume and Base Area Formula

GoHeight of Frustum of Cone given Volume and Top Area Formula