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Lateral surface area of Cut Cylindrical Shell given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
lateral_surface_area_polyhedron = Surface area of 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))))))
SALateral_Polyhedron = SAPolyhedron-(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
Surface area of Polyhedron - Surface area of Polyhedron is a measure of the total area that the surface of the polyhedron occupies. (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
Surface area of Polyhedron: 2100 Square Meter --> 2100 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
SALateral_Polyhedron = SAPolyhedron-(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)))))) --> 2100-(pi*((11^2)-(10^2)+(11*(sqrt((11^2)+(((16-12)/2)^2))))- (10*(sqrt((10^2)+(((15.9-12.1)/2)^2))))))
Evaluating ... ...
SALateral_Polyhedron = 1967.44131064361
STEP 3: Convert Result to Output's Unit
1967.44131064361 Square Meter --> No Conversion Required
FINAL ANSWER
1967.44131064361 Square Meter <-- Lateral Surface Area Polyhedron
(Calculation completed in 00.031 seconds)

4 Lateral surface area of Cut Cylindrical Shell Calculators

Lateral surface area of Cut Cylindrical Shell given surface area
lateral_surface_area_polyhedron = Surface area of 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)))))) Go
Lateral surface area of Cut Cylindrical Shell missing radius of inner cylinder
lateral_surface_area_polyhedron = pi*((Radius 1*(Short outer height+Long outer height))+((Radius 1-Thickness)*(Short inner height+Long inner height))) Go
Lateral surface area of Cut Cylindrical Shell missing radius of outer cylinder
lateral_surface_area_polyhedron = pi*(((Thickness+Radius)*(Short outer height+Long outer height))+(Radius*(Short inner height+Long inner height))) Go
Lateral surface area of Cut Cylindrical Shell
lateral_surface_area_polyhedron = pi*((Radius 1*(Short outer height+Long outer height))+(Radius*(Short inner height+Long inner height))) Go

Lateral surface area of Cut Cylindrical Shell given surface area Formula

lateral_surface_area_polyhedron = Surface area of 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))))))
SALateral_Polyhedron = SAPolyhedron-(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 Lateral surface area of Cut Cylindrical Shell given surface area?

Lateral surface area of Cut Cylindrical Shell given surface area calculator uses lateral_surface_area_polyhedron = Surface area of 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 Lateral Surface Area Polyhedron, Lateral surface area of Cut Cylindrical Shell given surface area formula is defined as area of the lateral surface of cut cylindrical shell. Lateral Surface Area Polyhedron is denoted by SALateral_Polyhedron symbol.

How to calculate Lateral surface area of Cut Cylindrical Shell given surface area using this online calculator? To use this online calculator for Lateral surface area of Cut Cylindrical Shell given surface area, enter Surface area of Polyhedron (SAPolyhedron), 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 Lateral surface area of Cut Cylindrical Shell given surface area calculation can be explained with given input values -> 1967.441 = 2100-(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 Lateral surface area of Cut Cylindrical Shell given surface area?
Lateral surface area of Cut Cylindrical Shell given surface area formula is defined as area of the lateral surface of cut cylindrical shell and is represented as SALateral_Polyhedron = SAPolyhedron-(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)))))) or lateral_surface_area_polyhedron = Surface area of 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)))))). Surface area of Polyhedron is a measure of the total area that the surface of the polyhedron occupies, Radius 1 is a radial line from the focus to any point of a curve, Radius is a radial line from the focus to any point of a curve, Long outer height is the long height of outer body of a shape or figure, Short outer height is the short height of outer body of a shape or figure, Long inner height is the long height of outer body of a shape or figure & Short inner height is the short height of inner body of a shape or figure.
How to calculate Lateral surface area of Cut Cylindrical Shell given surface area?
Lateral surface area of Cut Cylindrical Shell given surface area formula is defined as area of the lateral surface of cut cylindrical shell is calculated using lateral_surface_area_polyhedron = Surface area of 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 Lateral surface area of Cut Cylindrical Shell given surface area, you need Surface area of Polyhedron (SAPolyhedron), 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). With our tool, you need to enter the respective value for Surface area of Polyhedron, Radius 1, Radius, Long outer height, Short outer height, Long inner height & Short inner height 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 Lateral Surface Area Polyhedron?
In this formula, Lateral Surface Area Polyhedron uses Surface area of Polyhedron, Radius 1, Radius, Long outer height, Short outer height, Long inner height & Short inner height. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • lateral_surface_area_polyhedron = pi*((Radius 1*(Short outer height+Long outer height))+(Radius*(Short inner height+Long inner height)))
  • lateral_surface_area_polyhedron = pi*(((Thickness+Radius)*(Short outer height+Long outer height))+(Radius*(Short inner height+Long inner height)))
  • lateral_surface_area_polyhedron = pi*((Radius 1*(Short outer height+Long outer height))+((Radius 1-Thickness)*(Short inner height+Long inner height)))
  • lateral_surface_area_polyhedron = Surface area of 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))))))
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