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Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height Formula

GoLateral Surface Area of Diagonally Halved Cylinder given Total Surface Area Formula

GoLateral Surface Area of Diagonally Halved Cylinder given Volume and Radius Formula

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The Lateral Surface Area of Diagonally Halved Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Diagonally Halved Cylinder. Check FAQs

LSA = π \cdot h \cdot \sqrt{\frac{{d Space}^{2} - h^{2}}{4}}

LSA - Lateral Surface Area of Diagonally Halved Cylinder?h - Height of Diagonally Halved Cylinder?d_Space - Space Diagonal of Diagonally Halved Cylinder?π - Archimedes' constant?

Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height Example

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Here is how the Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height equation looks like with Values.

Here is how the Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height equation looks like with Units.

Here is how the Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height equation looks like.

94.874 = 3.1416 \cdot 8 \cdot \sqrt{\frac{11^{2} - 8^{2}}{4}}

94.874m² = 3.1416 \cdot 8m \cdot \sqrt{\frac{{11m}^{2} - {8m}^{2}}{4}}

94.874 = 3.1416 \cdot 8 \cdot \sqrt{\frac{11^{2} - 8^{2}}{4}}

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Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height Solution

Follow our step by step solution on how to calculate Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height?

FIRST Step Consider the formula

LSA = π \cdot h \cdot \sqrt{\frac{{d Space}^{2} - h^{2}}{4}}

Next Step Substitute values of Variables

∴

LSA = π \cdot 8m \cdot \sqrt{\frac{{11m}^{2} - {8m}^{2}}{4}}

Next Step Substitute values of Constants

∴

LSA = 3.1416 \cdot 8m \cdot \sqrt{\frac{{11m}^{2} - {8m}^{2}}{4}}

Next Step Prepare to Evaluate

∴

LSA = 3.1416 \cdot 8 \cdot \sqrt{\frac{11^{2} - 8^{2}}{4}}

Next Step Evaluate

∴

LSA = 94.8740175906633m²

LAST Step Rounding Answer

∴

LSA = 94.874m²

Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height Formula Elements

Variables

Constants

Functions

Lateral Surface Area of Diagonally Halved Cylinder

The Lateral Surface Area of Diagonally Halved Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Diagonally Halved Cylinder.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Diagonally Halved Cylinder

Height of Diagonally Halved Cylinder

Height of Diagonally Halved Cylinder is the vertical distance from the base circular face to the top most point of the Diagonally Halved Cylinder.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Diagonally Halved Cylinder

Space Diagonal of Diagonally Halved Cylinder

Space Diagonal of Diagonally Halved Cylinder is the length of the major axis or the longest chord of the upper elliptical face of the Diagonally Halved Cylinder.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Diagonally Halved 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

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 Lateral Surface Area of Diagonally Halved Cylinder

Go Lateral Surface Area of Diagonally Halved Cylinder given Total Surface Area

LSA = π \cdot r \cdot (\frac{TSA}{π \cdot r} - r - \frac{d Space}{2})

Go Lateral Surface Area of Diagonally Halved Cylinder given Volume and Radius

LSA = \frac{2 \cdot V}{r}

Go Lateral Surface Area of Diagonally Halved Cylinder given Volume and Height

LSA = \sqrt{2 \cdot π \cdot V \cdot h}

Go Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Radius

LSA = π \cdot r \cdot \sqrt{{d Space}^{2} - (4 \cdot r^{2})}

How to Evaluate Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height?

Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height evaluator uses Lateral Surface Area of Diagonally Halved Cylinder = pi*Height of Diagonally Halved Cylinder*sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4) to evaluate the Lateral Surface Area of Diagonally Halved Cylinder, Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height formula is defined as the total quantity of plane enclosed on the lateral curved surface of the Diagonally Halved Cylinder, and calculated using the space diagonal and height of the Diagonally Halved Cylinder. Lateral Surface Area of Diagonally Halved Cylinder is denoted by LSA symbol.

How to evaluate Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height using this online evaluator? To use this online evaluator for Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height, enter Height of Diagonally Halved Cylinder (h) & Space Diagonal of Diagonally Halved Cylinder (d_Space) and hit the calculate button.

FAQs on Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height

What is the formula to find Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height?

The formula of Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height is expressed as Lateral Surface Area of Diagonally Halved Cylinder = pi*Height of Diagonally Halved Cylinder*sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4). Here is an example- 94.87402 = pi*8*sqrt((11^2-8^2)/4).

How to calculate Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height?

With Height of Diagonally Halved Cylinder (h) & Space Diagonal of Diagonally Halved Cylinder (d_Space) we can find Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height using the formula - Lateral Surface Area of Diagonally Halved Cylinder = pi*Height of Diagonally Halved Cylinder*sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Lateral Surface Area of Diagonally Halved Cylinder?

Here are the different ways to Calculate Lateral Surface Area of Diagonally Halved Cylinder-

Lateral Surface Area of Diagonally Halved Cylinder=pi*Radius of Diagonally Halved Cylinder*(Total Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder)-Radius of Diagonally Halved Cylinder-Space Diagonal of Diagonally Halved Cylinder/2)
Lateral Surface Area of Diagonally Halved Cylinder=(2*Volume of Diagonally Halved Cylinder)/Radius of Diagonally Halved Cylinder
Lateral Surface Area of Diagonally Halved Cylinder=sqrt(2*pi*Volume of Diagonally Halved Cylinder*Height of Diagonally Halved Cylinder)

Can the Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height be negative?

No, the Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height, measured in Area cannot be negative.

Which unit is used to measure Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height?

Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height 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 Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height can be measured.

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Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height Formula

​GoLateral Surface Area of Diagonally Halved Cylinder given Total Surface Area Formula

​GoLateral Surface Area of Diagonally Halved Cylinder given Volume and Radius Formula

Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height Example

Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height Solution

Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height Formula Elements

Other Formulas to find Lateral Surface Area of Diagonally Halved Cylinder

How to Evaluate Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height?

FAQs on Lateral Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height

Variable Name

GoLateral Surface Area of Diagonally Halved Cylinder given Total Surface Area Formula

GoLateral Surface Area of Diagonally Halved Cylinder given Volume and Radius Formula