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## Surface area of Cut Cylindrical Shell Solution

STEP 0: Pre-Calculation Summary
Formula Used
SAPolyhedron = SALateral_Polyhedron+(pi*((r1^2)-(r^2)+(r1*(sqrt((r1^2)+(((hOuter_long-hOuter_short)/2)^2))))- (r*(sqrt((r^2)+(((hInner_long-hInner_short)/2)^2))))))
This formula uses 1 Constants, 1 Functions, 7 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Lateral Surface Area Polyhedron - Lateral Surface Area Polyhedron is the area of the lateral surface of any polyhedron. (Measured in Square Meter)
Radius 1 - Radius 1 is a radial line from the focus to any point of a curve. (Measured in Meter)
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Meter)
Long outer height - Long outer height is the long height of outer body of a shape or figure. (Measured in Meter)
Short outer height - Short outer height is the short height of outer body of a shape or figure. (Measured in Meter)
Long inner height - Long inner height is the long height of outer body of a shape or figure. (Measured in Meter)
Short inner height - Short inner height is the short height of inner body of a shape or figure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Lateral Surface Area Polyhedron: 2000 Square Meter --> 2000 Square Meter No Conversion Required
Radius 1: 11 Meter --> 11 Meter No Conversion Required
Radius: 10 Meter --> 10 Meter No Conversion Required
Long outer height: 16 Meter --> 16 Meter No Conversion Required
Short outer height: 12 Meter --> 12 Meter No Conversion Required
Long inner height: 15.9 Meter --> 15.9 Meter No Conversion Required
Short inner height: 12.1 Meter --> 12.1 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
SAPolyhedron = SALateral_Polyhedron+(pi*((r1^2)-(r^2)+(r1*(sqrt((r1^2)+(((hOuter_long-hOuter_short)/2)^2))))- (r*(sqrt((r^2)+(((hInner_long-hInner_short)/2)^2)))))) --> 2000+(pi*((11^2)-(10^2)+(11*(sqrt((11^2)+(((16-12)/2)^2))))- (10*(sqrt((10^2)+(((15.9-12.1)/2)^2))))))
Evaluating ... ...
SAPolyhedron = 2132.55868935639
STEP 3: Convert Result to Output's Unit
2132.55868935639 Square Meter --> No Conversion Required
2132.55868935639 Square Meter <-- Surface area of Polyhedron
(Calculation completed in 00.031 seconds)

## < 4 Surface area, Volume and Surface to volume ratio of Cut Cylindrical Shell Calculators

Surface to volume ratio of Cut Cylindrical Shell
Surface area of Cut Cylindrical Shell missing lateral surface area
Surface area of Cut Cylindrical Shell
Volume of Cut Cylindrical Shell
volume_polyhedron = (pi/2)*(((Radius 1^2)*(Short outer height+Long outer height))-((Radius^2)*(Short inner height+Long inner height))) Go

### Surface area of Cut Cylindrical Shell Formula

SAPolyhedron = SALateral_Polyhedron+(pi*((r1^2)-(r^2)+(r1*(sqrt((r1^2)+(((hOuter_long-hOuter_short)/2)^2))))- (r*(sqrt((r^2)+(((hInner_long-hInner_short)/2)^2))))))

## What is Cut Cylindrical Shell?

A cut cylindrical shell is a cut cylinder, from which in its center a narrower cut cylinder of the same central height is removed. Its slice plane has annulus and elliptical ring.

## How to Calculate Surface area of Cut Cylindrical Shell?

Surface area of Cut Cylindrical Shell calculator uses surface_area_of_polyhedron = Lateral Surface Area Polyhedron+(pi*((Radius 1^2)-(Radius^2)+(Radius 1*(sqrt((Radius 1^2)+(((Long outer height-Short outer height)/2)^2))))- (Radius*(sqrt((Radius^2)+(((Long inner height-Short inner height)/2)^2)))))) to calculate the Surface area of Polyhedron, The Surface area of Cut Cylindrical Shell formula is defined as a measure of the total area that the surface of the Cut Cylindrical Shell occupies. Where, radius_1 = radius of outer cylinder and radius = radius of inner cylinder. Surface area of Polyhedron is denoted by SAPolyhedron symbol.

How to calculate Surface area of Cut Cylindrical Shell using this online calculator? To use this online calculator for Surface area of Cut Cylindrical Shell, enter Lateral Surface Area Polyhedron (SALateral_Polyhedron), Radius 1 (r1), Radius (r), Long outer height (hOuter_long), Short outer height (hOuter_short), Long inner height (hInner_long) & Short inner height (hInner_short) and hit the calculate button. Here is how the Surface area of Cut Cylindrical Shell calculation can be explained with given input values -> 2132.559 = 2000+(pi*((11^2)-(10^2)+(11*(sqrt((11^2)+(((16-12)/2)^2))))- (10*(sqrt((10^2)+(((15.9-12.1)/2)^2)))))).

### FAQ

What is Surface area of Cut Cylindrical Shell?