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Total Surface Area of Cut Cylinder given 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 = π \cdot r \cdot (r + h Short + h Long + \sqrt{r^{2} + {(\frac{h Long - h Short}{2})}^{2}})

TSA - Total Surface Area of Cut Cylinder?r - Radius of Cut Cylinder?h_Short - Short Height of Cut Cylinder?h_Long - Long Height of Cut Cylinder?π - Archimedes' constant?

Total Surface Area of Cut Cylinder given Heights Example

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

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

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

681.7747 = 3.1416 \cdot 5 \cdot (5 + 12 + 20 + \sqrt{5^{2} + {(\frac{20 - 12}{2})}^{2}})

681.7747m² = 3.1416 \cdot 5m \cdot (5m + 12m + 20m + \sqrt{{5m}^{2} + {(\frac{20m - 12m}{2})}^{2}})

681.7747 = 3.1416 \cdot 5 \cdot (5 + 12 + 20 + \sqrt{5^{2} + {(\frac{20 - 12}{2})}^{2}})

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Total Surface Area of Cut Cylinder given Heights Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = π \cdot 5m \cdot (5m + 12m + 20m + \sqrt{{5m}^{2} + {(\frac{20m - 12m}{2})}^{2}})

Next Step Substitute values of Constants

∴

TSA = 3.1416 \cdot 5m \cdot (5m + 12m + 20m + \sqrt{{5m}^{2} + {(\frac{20m - 12m}{2})}^{2}})

Next Step Prepare to Evaluate

∴

TSA = 3.1416 \cdot 5 \cdot (5 + 12 + 20 + \sqrt{5^{2} + {(\frac{20 - 12}{2})}^{2}})

Next Step Evaluate

∴

TSA = 681.774681235821m²

LAST Step Rounding Answer

∴

TSA = 681.7747m²

Total Surface Area of Cut Cylinder given 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

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

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

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

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 Volume and Heights

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)

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

Total Surface Area of Cut Cylinder given Heights evaluator uses 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+sqrt(Radius of Cut Cylinder^2+((Long Height of Cut Cylinder-Short Height of Cut Cylinder)/2)^2)) to evaluate the Total Surface Area of Cut Cylinder, Total Surface Area of Cut Cylinder given Heights formula is defined as the total quantity of plane enclosed on the entire surface of the Cut Cylinder, and is calculated using 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 Heights using this online evaluator? To use this online evaluator for Total Surface Area of Cut Cylinder given Heights, enter Radius of Cut Cylinder (r), Short Height of Cut Cylinder (h_Short) & Long Height of Cut Cylinder (h_Long) and hit the calculate button.

FAQs on Total Surface Area of Cut Cylinder given Heights

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

The formula of Total Surface Area of Cut Cylinder given Heights is expressed as 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+sqrt(Radius of Cut Cylinder^2+((Long Height of Cut Cylinder-Short Height of Cut Cylinder)/2)^2)). Here is an example- 681.7747 = pi*5*(5+12+20+sqrt(5^2+((20-12)/2)^2)).

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

With Radius of Cut Cylinder (r), Short Height of Cut Cylinder (h_Short) & Long Height of Cut Cylinder (h_Long) we can find Total Surface Area of Cut Cylinder given Heights using the formula - 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+sqrt(Radius of Cut Cylinder^2+((Long Height of Cut Cylinder-Short Height of Cut Cylinder)/2)^2)). This formula also uses Archimedes' constant and Square Root (sqrt) 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 Heights be negative?

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

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

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

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Total Surface Area of Cut Cylinder given 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 Heights Example

Total Surface Area of Cut Cylinder given Heights Solution

Total Surface Area of Cut Cylinder given Heights Formula Elements

Other Formulas to find Total Surface Area of Cut Cylinder

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

FAQs on Total Surface Area of Cut Cylinder given Heights

Variable Name

GoTotal Surface Area of Cut Cylinder Formula

GoTotal Surface Area of Cut Cylinder given Lateral Surface Area Formula