Total Surface Area of Cut Cylinder given Heights Calculator

✖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.ⓘ Radius of Cut Cylinder [r]			+10% -10%
✖Short Height of Cut Cylinder is the shortest vertical distance from the bottom circular face to the top elliptical face of the Cut Cylinder.ⓘ Short Height of Cut Cylinder [h_Short]			+10% -10%
✖Long Height of Cut Cylinder is the longest vertical distance from the bottom circular face to the top elliptical face of the Cut Cylinder.ⓘ Long Height of Cut Cylinder [h_Long]			+10% -10%

✖Total Surface Area of Cut Cylinder is the total quantity of plane enclosed on the entire surface of the Cut Cylinder.ⓘ Total Surface Area of Cut Cylinder given Heights [TSA]

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Total Surface Area of Cut Cylinder given Heights Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
TSA = pi*r*(r+h_Short+h_Long+sqrt(r^2+((h_Long-h_Short)/2)^2))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Total Surface Area of Cut Cylinder - (Measured in Square Meter) - Total Surface Area of Cut Cylinder is the total quantity of plane enclosed on the entire surface of the Cut Cylinder.
Radius of Cut Cylinder - (Measured in Meter) - 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.
Short Height of Cut Cylinder - (Measured in Meter) - Short Height of Cut Cylinder is the shortest vertical distance from the bottom circular face to the top elliptical face of the Cut Cylinder.
Long Height of Cut Cylinder - (Measured in Meter) - Long Height of Cut Cylinder is the longest vertical distance from the bottom circular face to the top elliptical face of the Cut Cylinder.

STEP 1: Convert Input(s) to Base Unit

Radius of Cut Cylinder: 5 Meter --> 5 Meter No Conversion Required
Short Height of Cut Cylinder: 12 Meter --> 12 Meter No Conversion Required
Long Height of Cut Cylinder: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = pi*r*(r+h_Short+h_Long+sqrt(r^2+((h_Long-h_Short)/2)^2)) --> pi*5*(5+12+20+sqrt(5^2+((20-12)/2)^2))

Evaluating ... ...

TSA = 681.774681235821

STEP 3: Convert Result to Output's Unit

681.774681235821 Square Meter --> No Conversion Required

FINAL ANSWER

681.774681235821 ≈ 681.7747 Square Meter <-- Total Surface Area of Cut Cylinder

(Calculation completed in 00.004 seconds)

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< Total Surface Area of Cut Cylinder Calculators

Total Surface Area of Cut Cylinder given Volume and Heights

LaTeX Go 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)

Total Surface Area of Cut Cylinder given Lateral Surface Area

LaTeX Go 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 given Volume

LaTeX Go 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))

Total Surface Area of Cut Cylinder

LaTeX Go 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 given Heights Formula

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What is a Cut Cylinder?

When a cylinder is cut by a plane, across its lateral surface the resulting shape is called a Cut Cylinder. If the cut slices the base then it is a cylindrical wedge. And if the cutting plane is parallel to the circular faces of the cylinder then the resulting shapes are again cylinders of smaller height. In general a Cut Cylinder has a circular face, a curved lateral surface and an elliptical face, where that ellipse is the intersection of the cylinder and cutting plane.

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

Total Surface Area of Cut Cylinder given Heights calculator 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 calculate 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 calculate Total Surface Area of Cut Cylinder given Heights using this online calculator? To use this online calculator 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. Here is how the Total Surface Area of Cut Cylinder given Heights calculation can be explained with given input values -> 681.7747 = pi*5*(5+12+20+sqrt(5^2+((20-12)/2)^2)).

FAQ

What is Total Surface Area of Cut Cylinder given Heights?

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 and is represented as TSA = pi*r*(r+h_Short+h_Long+sqrt(r^2+((h_Long-h_Short)/2)^2)) or 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)). 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, Short Height of Cut Cylinder is the shortest vertical distance from the bottom circular face to the top elliptical face of the 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.

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

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 is calculated using 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 calculate Total Surface Area of Cut Cylinder given Heights, you need Radius of Cut Cylinder (r), Short Height of Cut Cylinder (h_Short) & Long Height of Cut Cylinder (h_Long). With our tool, you need to enter the respective value for Radius of Cut Cylinder, Short Height of Cut Cylinder & Long Height of Cut Cylinder and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Total Surface Area of Cut Cylinder?

In this formula, Total Surface Area of Cut Cylinder uses Radius of Cut Cylinder, Short Height of Cut Cylinder & Long Height of Cut Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))

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