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Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height Formula

GoSemi Minor Axis of Cut Cylinder Formula

GoSemi Minor Axis of Cut Cylinder given Total Surface Area Formula

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Semi Minor Axis of Cut Cylinder is the half of the length of the longest chord which is perpendicular to the line joining the foci of the elliptic face of the Cut Cylinder. Check FAQs

b = \sqrt{r^{2} + {(\frac{2 \cdot h Long - \frac{LSA}{π \cdot r}}{2})}^{2}}

b - Semi Minor Axis of Cut Cylinder?r - Radius of Cut Cylinder?h_Long - Long Height of Cut Cylinder?LSA - Lateral Surface Area of Cut Cylinder?π - Archimedes' constant?

Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height Example

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Here is how the Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height equation looks like with Values.

Here is how the Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height equation looks like with Units.

Here is how the Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height equation looks like.

6.4563 = \sqrt{5^{2} + {(\frac{2 \cdot 20 - \frac{500}{3.1416 \cdot 5}}{2})}^{2}}

6.4563m = \sqrt{{5m}^{2} + {(\frac{2 \cdot 20m - \frac{500m²}{3.1416 \cdot 5m}}{2})}^{2}}

6.4563 = \sqrt{5^{2} + {(\frac{2 \cdot 20 - \frac{500}{3.1416 \cdot 5}}{2})}^{2}}

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Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height Solution

Follow our step by step solution on how to calculate Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height?

FIRST Step Consider the formula

b = \sqrt{r^{2} + {(\frac{2 \cdot h Long - \frac{LSA}{π \cdot r}}{2})}^{2}}

Next Step Substitute values of Variables

∴

b = \sqrt{{5m}^{2} + {(\frac{2 \cdot 20m - \frac{500m²}{π \cdot 5m}}{2})}^{2}}

Next Step Substitute values of Constants

∴

b = \sqrt{{5m}^{2} + {(\frac{2 \cdot 20m - \frac{500m²}{3.1416 \cdot 5m}}{2})}^{2}}

Next Step Prepare to Evaluate

∴

b = \sqrt{5^{2} + {(\frac{2 \cdot 20 - \frac{500}{3.1416 \cdot 5}}{2})}^{2}}

Next Step Evaluate

∴

b = 6.4562517561092m

LAST Step Rounding Answer

∴

b = 6.4563m

Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height Formula Elements

Variables

Constants

Functions

Semi Minor Axis of Cut Cylinder

Semi Minor Axis of Cut Cylinder is the half of the length of the longest chord which is perpendicular to the line joining the foci of the elliptic face of the Cut Cylinder.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Semi Minor Axis of Cut Cylinder

Radius of Cut Cylinder

Radius of Cut Cylinder is the distance between the center and any point on the circumference of the base circular face of the Cut Cylinder.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Cut Cylinder

Long Height of Cut Cylinder

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

Symbol: h_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Height of Cut Cylinder

Lateral Surface Area of Cut Cylinder

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

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Cut 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 Semi Minor Axis of Cut Cylinder

Go Semi Minor Axis of Cut Cylinder

b = \sqrt{r^{2} + {(\frac{h Long - h Short}{2})}^{2}}

Go Semi Minor Axis of Cut Cylinder given Total Surface Area

b = \frac{TSA}{π \cdot r} - r - h Short - h Long

Go Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Total Surface Area

b = \frac{TSA - LSA - π \cdot r^{2}}{π \cdot r}

Go Semi Minor Axis of Cut Cylinder given Lateral Surface Area

b = \sqrt{{(\frac{h Long - h Short}{2})}^{2} + {(\frac{LSA}{π \cdot (h Long + h Short)})}^{2}}

How to Evaluate Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height?

Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height evaluator uses Semi Minor Axis of Cut Cylinder = sqrt(Radius of Cut Cylinder^2+((2*Long Height of Cut Cylinder-Lateral Surface Area of Cut Cylinder/(pi*Radius of Cut Cylinder))/2)^2) to evaluate the Semi Minor Axis of Cut Cylinder, Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height formula is defined as half of the length of the longest chord which is perpendicular to the line joining the foci of the elliptic face of the Cut Cylinder, and is calculated using lateral surface area and long height of Cut Cylinder. Semi Minor Axis of Cut Cylinder is denoted by b symbol.

How to evaluate Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height using this online evaluator? To use this online evaluator for Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height, enter Radius of Cut Cylinder (r), Long Height of Cut Cylinder (h_Long) & Lateral Surface Area of Cut Cylinder (LSA) and hit the calculate button.

FAQs on Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height

What is the formula to find Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height?

The formula of Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height is expressed as Semi Minor Axis of Cut Cylinder = sqrt(Radius of Cut Cylinder^2+((2*Long Height of Cut Cylinder-Lateral Surface Area of Cut Cylinder/(pi*Radius of Cut Cylinder))/2)^2). Here is an example- 6.456252 = sqrt(5^2+((2*20-500/(pi*5))/2)^2).

How to calculate Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height?

With Radius of Cut Cylinder (r), Long Height of Cut Cylinder (h_Long) & Lateral Surface Area of Cut Cylinder (LSA) we can find Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height using the formula - Semi Minor Axis of Cut Cylinder = sqrt(Radius of Cut Cylinder^2+((2*Long Height of Cut Cylinder-Lateral Surface Area of Cut Cylinder/(pi*Radius of Cut Cylinder))/2)^2). This formula also uses Archimedes' constant and Square Root Function function(s).

What are the other ways to Calculate Semi Minor Axis of Cut Cylinder?

Here are the different ways to Calculate Semi Minor Axis of Cut Cylinder-

Semi Minor Axis of Cut Cylinder=sqrt(Radius of Cut Cylinder^2+((Long Height of Cut Cylinder-Short Height of Cut Cylinder)/2)^2)
Semi Minor Axis of Cut Cylinder=Total Surface Area of Cut Cylinder/(pi*Radius of Cut Cylinder)-Radius of Cut Cylinder-Short Height of Cut Cylinder-Long Height of Cut Cylinder
Semi Minor Axis of Cut Cylinder=(Total Surface Area of Cut Cylinder-Lateral Surface Area of Cut Cylinder-pi*Radius of Cut Cylinder^2)/(pi*Radius of Cut Cylinder)

Can the Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height be negative?

No, the Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height, measured in Length cannot be negative.

Which unit is used to measure Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height?

Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height can be measured.

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Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height Formula

​GoSemi Minor Axis of Cut Cylinder Formula

​GoSemi Minor Axis of Cut Cylinder given Total Surface Area Formula

Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height Example

Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height Solution

Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height Formula Elements

Other Formulas to find Semi Minor Axis of Cut Cylinder

How to Evaluate Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height?

FAQs on Semi Minor Axis of Cut Cylinder given Lateral Surface Area and Long Height

Variable Name

GoSemi Minor Axis of Cut Cylinder Formula

GoSemi Minor Axis of Cut Cylinder given Total Surface Area Formula