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

GoSpace Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Radius Formula

GoSpace Diagonal of Diagonally Halved Cylinder Formula

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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. Check FAQs

d Space = \sqrt{h^{2} + {(\frac{2 \cdot LSA}{π \cdot h})}^{2}}

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

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

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

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

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

11.2839 = \sqrt{8^{2} + {(\frac{2 \cdot 100}{3.1416 \cdot 8})}^{2}}

11.2839m = \sqrt{{8m}^{2} + {(\frac{2 \cdot 100m²}{3.1416 \cdot 8m})}^{2}}

11.2839 = \sqrt{8^{2} + {(\frac{2 \cdot 100}{3.1416 \cdot 8})}^{2}}

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

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

FIRST Step Consider the formula

d Space = \sqrt{h^{2} + {(\frac{2 \cdot LSA}{π \cdot h})}^{2}}

Next Step Substitute values of Variables

∴

d Space = \sqrt{{8m}^{2} + {(\frac{2 \cdot 100m²}{π \cdot 8m})}^{2}}

Next Step Substitute values of Constants

∴

d Space = \sqrt{{8m}^{2} + {(\frac{2 \cdot 100m²}{3.1416 \cdot 8m})}^{2}}

Next Step Prepare to Evaluate

∴

d Space = \sqrt{8^{2} + {(\frac{2 \cdot 100}{3.1416 \cdot 8})}^{2}}

Next Step Evaluate

∴

d Space = 11.2838707798548m

LAST Step Rounding Answer

∴

d Space = 11.2839m

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

Variables

Constants

Functions

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

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

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

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 Space Diagonal of Diagonally Halved Cylinder

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

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

Go Space Diagonal of Diagonally Halved Cylinder

d Space = \sqrt{h^{2} + (4 \cdot r^{2})}

Go Space Diagonal of Diagonally Halved Cylinder given Volume and Height

d Space = \sqrt{h^{2} + \frac{8 \cdot V}{π \cdot h}}

Go Space Diagonal of Diagonally Halved Cylinder given Volume and Radius

d Space = \sqrt{(4 \cdot r^{2}) + {(\frac{2 \cdot V}{π \cdot r^{2}})}^{2}}

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

Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Height evaluator uses Space Diagonal of Diagonally Halved Cylinder = sqrt(Height of Diagonally Halved Cylinder^2+((2*Lateral Surface Area of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))^2) to evaluate the Space Diagonal of Diagonally Halved Cylinder, Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Height formula is defined as the length of the major axis or the longest chord of the upper elliptical face of the Diagonally Halved Cylinder, and calculated using the lateral surface area and height of the Diagonally Halved Cylinder. Space Diagonal of Diagonally Halved Cylinder is denoted by d_Space symbol.

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

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

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

The formula of Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Height is expressed as Space Diagonal of Diagonally Halved Cylinder = sqrt(Height of Diagonally Halved Cylinder^2+((2*Lateral Surface Area of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))^2). Here is an example- 11.28387 = sqrt(8^2+((2*100)/(pi*8))^2).

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

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

What are the other ways to Calculate Space Diagonal of Diagonally Halved Cylinder?

Here are the different ways to Calculate Space Diagonal of Diagonally Halved Cylinder-

Space Diagonal of Diagonally Halved Cylinder=sqrt((4*Radius of Diagonally Halved Cylinder^2)+(Lateral Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder))^2)
Space Diagonal of Diagonally Halved Cylinder=sqrt(Height of Diagonally Halved Cylinder^2+(4*Radius of Diagonally Halved Cylinder^2))
Space Diagonal of Diagonally Halved Cylinder=sqrt(Height of Diagonally Halved Cylinder^2+(8*Volume of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))

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

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

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

Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Height is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Space Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Height can be measured.

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

​GoSpace Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Radius Formula

​GoSpace Diagonal of Diagonally Halved Cylinder Formula

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

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

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

Other Formulas to find Space Diagonal of Diagonally Halved Cylinder

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

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

Variable Name

GoSpace Diagonal of Diagonally Halved Cylinder given Lateral Surface Area and Radius Formula

GoSpace Diagonal of Diagonally Halved Cylinder Formula