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Height of Cylinder given Total Surface Area and Base Area Formula

GoHeight of Cylinder given Diagonal Formula

GoHeight of Cylinder given Lateral Surface Area Formula

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Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder. Check FAQs

h = \frac{TSA - 2 \cdot A Base}{2 \cdot π \cdot r}

h - Height of Cylinder?TSA - Total Surface Area of Cylinder?A_Base - Base Area of Cylinder?r - Radius of Cylinder?π - Archimedes' constant?

Height of Cylinder given Total Surface Area and Base Area Example

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Here is how the Height of Cylinder given Total Surface Area and Base Area equation looks like with Values.

Here is how the Height of Cylinder given Total Surface Area and Base Area equation looks like with Units.

Here is how the Height of Cylinder given Total Surface Area and Base Area equation looks like.

11.7775 = \frac{530 - 2 \cdot 80}{2 \cdot 3.1416 \cdot 5}

11.7775m = \frac{530m² - 2 \cdot 80m²}{2 \cdot 3.1416 \cdot 5m}

11.7775 = \frac{530 - 2 \cdot 80}{2 \cdot 3.1416 \cdot 5}

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Height of Cylinder given Total Surface Area and Base Area Solution

Follow our step by step solution on how to calculate Height of Cylinder given Total Surface Area and Base Area?

FIRST Step Consider the formula

h = \frac{TSA - 2 \cdot A Base}{2 \cdot π \cdot r}

Next Step Substitute values of Variables

∴

h = \frac{530m² - 2 \cdot 80m²}{2 \cdot π \cdot 5m}

Next Step Substitute values of Constants

∴

h = \frac{530m² - 2 \cdot 80m²}{2 \cdot 3.1416 \cdot 5m}

Next Step Prepare to Evaluate

∴

h = \frac{530 - 2 \cdot 80}{2 \cdot 3.1416 \cdot 5}

Next Step Evaluate

∴

h = 11.7774657888003m

LAST Step Rounding Answer

∴

h = 11.7775m

Height of Cylinder given Total Surface Area and Base Area Formula Elements

Variables

Constants

Height of Cylinder

Height of Cylinder is the longest vertical distance from the bottom circular face to the top circular face of the Cylinder.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Cylinder

Total Surface Area of Cylinder

Total Surface Area of Cylinder is the total quantity of plane enclosed on the entire surface of the Cylinder.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Cylinder

Base Area of Cylinder

Base Area of Cylinder is the area of the base circular face of Cylinder.

Symbol: A_Base

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Base Area of Cylinder

Radius of Cylinder

Radius of Cylinder is the distance between the center and any point on the circumference of the circular faces of the Cylinder.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Cylinder

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 Height of Cylinder

Go Height of Cylinder given Diagonal

h = \sqrt{d^{2} - {(2 \cdot r)}^{2}}

Go Height of Cylinder given Lateral Surface Area

h = \frac{LSA}{2 \cdot π \cdot r}

Go Height of Cylinder given Volume

h = \frac{V}{π \cdot r^{2}}

How to Evaluate Height of Cylinder given Total Surface Area and Base Area?

Height of Cylinder given Total Surface Area and Base Area evaluator uses Height of Cylinder = (Total Surface Area of Cylinder-2*Base Area of Cylinder)/(2*pi*Radius of Cylinder) to evaluate the Height of Cylinder, The Height of Cylinder given Total Surface Area and Base Area formula is defined as the longest vertical distance from the bottom circular face to the top circular face of the Cylinder and is calculated using the total surface area and base area of the Cylinder. Height of Cylinder is denoted by h symbol.

How to evaluate Height of Cylinder given Total Surface Area and Base Area using this online evaluator? To use this online evaluator for Height of Cylinder given Total Surface Area and Base Area, enter Total Surface Area of Cylinder (TSA), Base Area of Cylinder (A_Base) & Radius of Cylinder (r) and hit the calculate button.

FAQs on Height of Cylinder given Total Surface Area and Base Area

What is the formula to find Height of Cylinder given Total Surface Area and Base Area?

The formula of Height of Cylinder given Total Surface Area and Base Area is expressed as Height of Cylinder = (Total Surface Area of Cylinder-2*Base Area of Cylinder)/(2*pi*Radius of Cylinder). Here is an example- 11.77747 = (530-2*80)/(2*pi*5).

How to calculate Height of Cylinder given Total Surface Area and Base Area?

With Total Surface Area of Cylinder (TSA), Base Area of Cylinder (A_Base) & Radius of Cylinder (r) we can find Height of Cylinder given Total Surface Area and Base Area using the formula - Height of Cylinder = (Total Surface Area of Cylinder-2*Base Area of Cylinder)/(2*pi*Radius of Cylinder). This formula also uses Archimedes' constant .

What are the other ways to Calculate Height of Cylinder?

Here are the different ways to Calculate Height of Cylinder-

Height of Cylinder=sqrt(Diagonal of Cylinder^2-(2*Radius of Cylinder)^2)
Height of Cylinder=Lateral Surface Area of Cylinder/(2*pi*Radius of Cylinder)
Height of Cylinder=Volume of Cylinder/(pi*Radius of Cylinder^2)

Can the Height of Cylinder given Total Surface Area and Base Area be negative?

No, the Height of Cylinder given Total Surface Area and Base Area, measured in Length cannot be negative.

Which unit is used to measure Height of Cylinder given Total Surface Area and Base Area?

Height of Cylinder given Total Surface 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 Cylinder given Total Surface Area and Base Area can be measured.

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Height of Cylinder given Total Surface Area and Base Area Formula

​GoHeight of Cylinder given Diagonal Formula

​GoHeight of Cylinder given Lateral Surface Area Formula

Height of Cylinder given Total Surface Area and Base Area Example

Height of Cylinder given Total Surface Area and Base Area Solution

Height of Cylinder given Total Surface Area and Base Area Formula Elements

Other Formulas to find Height of Cylinder

How to Evaluate Height of Cylinder given Total Surface Area and Base Area?

FAQs on Height of Cylinder given Total Surface Area and Base Area

Variable Name

GoHeight of Cylinder given Diagonal Formula

GoHeight of Cylinder given Lateral Surface Area Formula