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Total Surface Area of Cut Cylinder given Volume and Heights Formula

GoTotal Surface Area of Cut Cylinder Formula

GoTotal Surface Area of Cut Cylinder given Lateral Surface Area Formula

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

TSA = \sqrt{\frac{2 \cdot π \cdot V}{h Long + h Short}} \cdot (\sqrt{\frac{2 \cdot V}{π \cdot (h Long + h Short)}} + b + h Short + h Long)

TSA - Total Surface Area of Cut Cylinder?V - Volume of Cut Cylinder?h_Long - Long Height of Cut Cylinder?h_Short - Short Height of Cut Cylinder?b - Semi Minor Axis of Cut Cylinder?π - Archimedes' constant?

Total Surface Area of Cut Cylinder given Volume and Heights Example

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Here is how the Total Surface Area of Cut Cylinder given Volume and Heights equation looks like with Values.

Here is how the Total Surface Area of Cut Cylinder given Volume and Heights equation looks like with Units.

Here is how the Total Surface Area of Cut Cylinder given Volume and Heights equation looks like.

688.364 = \sqrt{\frac{2 \cdot 3.1416 \cdot 1300}{20 + 12}} \cdot (\sqrt{\frac{2 \cdot 1300}{3.1416 \cdot (20 + 12)}} + 6 + 12 + 20)

688.364m² = \sqrt{\frac{2 \cdot 3.1416 \cdot 1300m³}{20m + 12m}} \cdot (\sqrt{\frac{2 \cdot 1300m³}{3.1416 \cdot (20m + 12m)}} + 6m + 12m + 20m)

688.364 = \sqrt{\frac{2 \cdot 3.1416 \cdot 1300}{20 + 12}} \cdot (\sqrt{\frac{2 \cdot 1300}{3.1416 \cdot (20 + 12)}} + 6 + 12 + 20)

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Total Surface Area of Cut Cylinder given Volume and Heights Solution

Follow our step by step solution on how to calculate Total Surface Area of Cut Cylinder given Volume and Heights?

FIRST Step Consider the formula

TSA = \sqrt{\frac{2 \cdot π \cdot V}{h Long + h Short}} \cdot (\sqrt{\frac{2 \cdot V}{π \cdot (h Long + h Short)}} + b + h Short + h Long)

Next Step Substitute values of Variables

∴

TSA = \sqrt{\frac{2 \cdot π \cdot 1300m³}{20m + 12m}} \cdot (\sqrt{\frac{2 \cdot 1300m³}{π \cdot (20m + 12m)}} + 6m + 12m + 20m)

Next Step Substitute values of Constants

∴

TSA = \sqrt{\frac{2 \cdot 3.1416 \cdot 1300m³}{20m + 12m}} \cdot (\sqrt{\frac{2 \cdot 1300m³}{3.1416 \cdot (20m + 12m)}} + 6m + 12m + 20m)

Next Step Prepare to Evaluate

∴

TSA = \sqrt{\frac{2 \cdot 3.1416 \cdot 1300}{20 + 12}} \cdot (\sqrt{\frac{2 \cdot 1300}{3.1416 \cdot (20 + 12)}} + 6 + 12 + 20)

Next Step Evaluate

∴

TSA = 688.363958069177m²

LAST Step Rounding Answer

∴

TSA = 688.364m²

Total Surface Area of Cut Cylinder given Volume and Heights Formula Elements

Variables

Constants

Functions

Total Surface Area of Cut Cylinder

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Cut Cylinder

Volume of Cut Cylinder

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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

Short Height of Cut Cylinder

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

Symbol: h_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Height of Cut Cylinder

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

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 Total Surface Area of Cut Cylinder

Go Total Surface Area of Cut Cylinder

TSA = π \cdot r \cdot (r + b + h Short + h Long)

Go Total Surface Area of Cut Cylinder given Lateral Surface Area

TSA = π \cdot r \cdot (r + b + \frac{LSA}{π \cdot r})

Go Total Surface Area of Cut Cylinder given Volume

TSA = π \cdot r \cdot (r + b + \frac{2 \cdot V}{π \cdot r^{2}})

Go Total Surface Area of Cut Cylinder given Lateral Surface Area and Heights

TSA = \frac{LSA}{h Long + h Short} \cdot (\frac{LSA}{π \cdot (h Long + h Short)} + b + h Long + h Short)

How to Evaluate Total Surface Area of Cut Cylinder given Volume and Heights?

Total Surface Area of Cut Cylinder given Volume and Heights evaluator uses Total Surface Area of Cut Cylinder = sqrt((2*pi*Volume of Cut Cylinder)/(Long Height of Cut Cylinder+Short Height of Cut Cylinder))*(sqrt((2*Volume of Cut Cylinder)/(pi*(Long Height of Cut Cylinder+Short Height of Cut Cylinder)))+Semi Minor Axis of Cut Cylinder+Short Height of Cut Cylinder+Long Height of Cut Cylinder) to evaluate the Total Surface Area of Cut Cylinder, Total Surface Area of Cut Cylinder given Volume and Heights formula is defined as the total quantity of plane enclosed on the entire surface of the Cut Cylinder, and is calculated using volume and both heights of the Cut Cylinder. Total Surface Area of Cut Cylinder is denoted by TSA symbol.

How to evaluate Total Surface Area of Cut Cylinder given Volume and Heights using this online evaluator? To use this online evaluator for Total Surface Area of Cut Cylinder given Volume and Heights, enter Volume of Cut Cylinder (V), Long Height of Cut Cylinder (h_Long), Short Height of Cut Cylinder (h_Short) & Semi Minor Axis of Cut Cylinder (b) and hit the calculate button.

FAQs on Total Surface Area of Cut Cylinder given Volume and Heights

What is the formula to find Total Surface Area of Cut Cylinder given Volume and Heights?

The formula of Total Surface Area of Cut Cylinder given Volume and Heights is expressed as Total Surface Area of Cut Cylinder = sqrt((2*pi*Volume of Cut Cylinder)/(Long Height of Cut Cylinder+Short Height of Cut Cylinder))*(sqrt((2*Volume of Cut Cylinder)/(pi*(Long Height of Cut Cylinder+Short Height of Cut Cylinder)))+Semi Minor Axis of Cut Cylinder+Short Height of Cut Cylinder+Long Height of Cut Cylinder). Here is an example- 688.364 = sqrt((2*pi*1300)/(20+12))*(sqrt((2*1300)/(pi*(20+12)))+6+12+20).

How to calculate Total Surface Area of Cut Cylinder given Volume and Heights?

With Volume of Cut Cylinder (V), Long Height of Cut Cylinder (h_Long), Short Height of Cut Cylinder (h_Short) & Semi Minor Axis of Cut Cylinder (b) we can find Total Surface Area of Cut Cylinder given Volume and Heights using the formula - Total Surface Area of Cut Cylinder = sqrt((2*pi*Volume of Cut Cylinder)/(Long Height of Cut Cylinder+Short Height of Cut Cylinder))*(sqrt((2*Volume of Cut Cylinder)/(pi*(Long Height of Cut Cylinder+Short Height of Cut Cylinder)))+Semi Minor Axis of Cut Cylinder+Short Height of Cut Cylinder+Long Height of Cut Cylinder). This formula also uses Archimedes' constant and Square Root Function function(s).

What are the other ways to Calculate Total Surface Area of Cut Cylinder?

Here are the different ways to Calculate Total Surface Area of Cut Cylinder-

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

Can the Total Surface Area of Cut Cylinder given Volume and Heights be negative?

No, the Total Surface Area of Cut Cylinder given Volume and Heights, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Cut Cylinder given Volume and Heights?

Total Surface Area of Cut Cylinder given Volume and Heights 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 Total Surface Area of Cut Cylinder given Volume and Heights can be measured.

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Total Surface Area of Cut Cylinder given Volume and Heights Formula

​GoTotal Surface Area of Cut Cylinder Formula

​GoTotal Surface Area of Cut Cylinder given Lateral Surface Area Formula

Total Surface Area of Cut Cylinder given Volume and Heights Example

Total Surface Area of Cut Cylinder given Volume and Heights Solution

Total Surface Area of Cut Cylinder given Volume and Heights Formula Elements

Other Formulas to find Total Surface Area of Cut Cylinder

How to Evaluate Total Surface Area of Cut Cylinder given Volume and Heights?

FAQs on Total Surface Area of Cut Cylinder given Volume and Heights

Variable Name

GoTotal Surface Area of Cut Cylinder Formula

GoTotal Surface Area of Cut Cylinder given Lateral Surface Area Formula