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Space Diagonal of Diagonally Halved Cylinder given Volume and Height Formula

GoSpace 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

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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{8 \cdot V}{π \cdot h}}

d_Space - Space Diagonal of Diagonally Halved Cylinder?h - Height of Diagonally Halved Cylinder?V - Volume of Diagonally Halved Cylinder?π - Archimedes' constant?

Space Diagonal of Diagonally Halved Cylinder given Volume and Height Example

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

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

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

11.2988 = \sqrt{8^{2} + \frac{8 \cdot 200}{3.1416 \cdot 8}}

11.2988m = \sqrt{{8m}^{2} + \frac{8 \cdot 200m³}{3.1416 \cdot 8m}}

11.2988 = \sqrt{8^{2} + \frac{8 \cdot 200}{3.1416 \cdot 8}}

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Space Diagonal of Diagonally Halved Cylinder given Volume and Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Space = \sqrt{{8m}^{2} + \frac{8 \cdot 200m³}{π \cdot 8m}}

Next Step Substitute values of Constants

∴

d Space = \sqrt{{8m}^{2} + \frac{8 \cdot 200m³}{3.1416 \cdot 8m}}

Next Step Prepare to Evaluate

∴

d Space = \sqrt{8^{2} + \frac{8 \cdot 200}{3.1416 \cdot 8}}

Next Step Evaluate

∴

d Space = 11.298759986687m

LAST Step Rounding Answer

∴

d Space = 11.2988m

Space Diagonal of Diagonally Halved Cylinder given Volume 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

Volume of Diagonally Halved Cylinder

Volume of Diagonally Halved Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Diagonally Halved Cylinder.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Height

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

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 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 Volume and Height?

Space Diagonal of Diagonally Halved Cylinder given Volume and Height evaluator uses 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)) to evaluate the Space Diagonal of Diagonally Halved Cylinder, Space Diagonal of Diagonally Halved Cylinder given Volume 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 volume 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 Volume and Height using this online evaluator? To use this online evaluator for Space Diagonal of Diagonally Halved Cylinder given Volume and Height, enter Height of Diagonally Halved Cylinder (h) & Volume of Diagonally Halved Cylinder (V) and hit the calculate button.

FAQs on Space Diagonal of Diagonally Halved Cylinder given Volume and Height

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

The formula of Space Diagonal of Diagonally Halved Cylinder given Volume and Height is expressed as 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)). Here is an example- 11.29876 = sqrt(8^2+(8*200)/(pi*8)).

How to calculate Space Diagonal of Diagonally Halved Cylinder given Volume and Height?

With Height of Diagonally Halved Cylinder (h) & Volume of Diagonally Halved Cylinder (V) we can find Space Diagonal of Diagonally Halved Cylinder given Volume and Height using the formula - 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)). 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(Height of Diagonally Halved Cylinder^2+((2*Lateral Surface Area of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))^2)
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))

Can the Space Diagonal of Diagonally Halved Cylinder given Volume and Height be negative?

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

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

Space Diagonal of Diagonally Halved Cylinder given Volume 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 Volume and Height can be measured.

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Space Diagonal of Diagonally Halved Cylinder given Volume and Height Formula

​GoSpace 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

Space Diagonal of Diagonally Halved Cylinder given Volume and Height Example

Space Diagonal of Diagonally Halved Cylinder given Volume and Height Solution

Space Diagonal of Diagonally Halved Cylinder given Volume and Height Formula Elements

Other Formulas to find Space Diagonal of Diagonally Halved Cylinder

How to Evaluate Space Diagonal of Diagonally Halved Cylinder given Volume and Height?

FAQs on Space Diagonal of Diagonally Halved Cylinder given Volume and Height

Variable Name

GoSpace 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