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Volume of Cut Cylindrical Shell Solution

STEP 0: Pre-Calculation Summary
Formula Used
volume_polyhedron = (pi/2)*(((Radius 1^2)*(Short outer height+Long outer height))-((Radius^2)*(Short inner height+Long inner height)))
Vpolyhedron = (pi/2)*(((r1^2)*(hOuter_short+hOuter_long))-((r^2)*(hInner_short+hInner_long)))
This formula uses 1 Constants, 6 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Radius 1 - Radius 1 is a radial line from the focus to any point of a curve. (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 outer height - Long outer height is the long height of outer body of a shape or figure. (Measured in Meter)
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Meter)
Short inner height - Short inner height is the short height of inner 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)
STEP 1: Convert Input(s) to Base Unit
Radius 1: 11 Meter --> 11 Meter No Conversion Required
Short outer height: 12 Meter --> 12 Meter No Conversion Required
Long outer height: 16 Meter --> 16 Meter No Conversion Required
Radius: 10 Meter --> 10 Meter No Conversion Required
Short inner height: 12.1 Meter --> 12.1 Meter No Conversion Required
Long inner height: 15.9 Meter --> 15.9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vpolyhedron = (pi/2)*(((r1^2)*(hOuter_short+hOuter_long))-((r^2)*(hInner_short+hInner_long))) --> (pi/2)*(((11^2)*(12+16))-((10^2)*(12.1+15.9)))
Evaluating ... ...
Vpolyhedron = 923.628240155399
STEP 3: Convert Result to Output's Unit
923.628240155399 Cubic Meter --> No Conversion Required
FINAL ANSWER
923.628240155399 Cubic Meter <-- Volume Polyhedron
(Calculation completed in 00.039 seconds)

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

Surface to volume ratio of Cut Cylindrical Shell
surface_to_volume_ratio = (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)))))))/((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 missing lateral surface area
surface_area_of_polyhedron = (pi*((Radius 1*(Short outer height+Long outer height))+(Radius*(Short inner height+Long inner height))))+(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
Surface area of Cut Cylindrical Shell
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)))))) Go
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

Volume of Cut Cylindrical Shell Formula

volume_polyhedron = (pi/2)*(((Radius 1^2)*(Short outer height+Long outer height))-((Radius^2)*(Short inner height+Long inner height)))
Vpolyhedron = (pi/2)*(((r1^2)*(hOuter_short+hOuter_long))-((r^2)*(hInner_short+hInner_long)))

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 Volume of Cut Cylindrical Shell?

Volume of Cut Cylindrical Shell calculator uses volume_polyhedron = (pi/2)*(((Radius 1^2)*(Short outer height+Long outer height))-((Radius^2)*(Short inner height+Long inner height))) to calculate the Volume Polyhedron, The Volume of Cut Cylindrical Shell formula is defined as amount of three dimensional space covered by cut cylindrical shell. Where. radius_1 = radius of outer cylinder and radius = radius of inner cylinder. Volume Polyhedron is denoted by Vpolyhedron symbol.

How to calculate Volume of Cut Cylindrical Shell using this online calculator? To use this online calculator for Volume of Cut Cylindrical Shell, enter Radius 1 (r1), Short outer height (hOuter_short), Long outer height (hOuter_long), Radius (r), Short inner height (hInner_short) & Long inner height (hInner_long) and hit the calculate button. Here is how the Volume of Cut Cylindrical Shell calculation can be explained with given input values -> 923.6282 = (pi/2)*(((11^2)*(12+16))-((10^2)*(12.1+15.9))).

FAQ

What is Volume of Cut Cylindrical Shell?
The Volume of Cut Cylindrical Shell formula is defined as amount of three dimensional space covered by cut cylindrical shell. Where. radius_1 = radius of outer cylinder and radius = radius of inner cylinder and is represented as Vpolyhedron = (pi/2)*(((r1^2)*(hOuter_short+hOuter_long))-((r^2)*(hInner_short+hInner_long))) or volume_polyhedron = (pi/2)*(((Radius 1^2)*(Short outer height+Long outer height))-((Radius^2)*(Short inner height+Long inner height))). Radius 1 is a radial line from the focus to any point of a curve, Short outer height is the short height of outer body of a shape or figure, Long outer height is the long height of outer body of a shape or figure, Radius is a radial line from the focus to any point of a curve, Short inner height is the short height of inner body of a shape or figure & Long inner height is the long height of outer body of a shape or figure.
How to calculate Volume of Cut Cylindrical Shell?
The Volume of Cut Cylindrical Shell formula is defined as amount of three dimensional space covered by cut cylindrical shell. Where. radius_1 = radius of outer cylinder and radius = radius of inner cylinder is calculated using volume_polyhedron = (pi/2)*(((Radius 1^2)*(Short outer height+Long outer height))-((Radius^2)*(Short inner height+Long inner height))). To calculate Volume of Cut Cylindrical Shell, you need Radius 1 (r1), Short outer height (hOuter_short), Long outer height (hOuter_long), Radius (r), Short inner height (hInner_short) & Long inner height (hInner_long). With our tool, you need to enter the respective value for Radius 1, Short outer height, Long outer height, Radius, Short inner height & Long 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 Volume Polyhedron?
In this formula, Volume Polyhedron uses Radius 1, Short outer height, Long outer height, Radius, Short inner height & Long inner height. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • 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))))))
  • volume_polyhedron = (pi/2)*(((Radius 1^2)*(Short outer height+Long outer height))-((Radius^2)*(Short inner height+Long inner height)))
  • surface_to_volume_ratio = (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)))))))/((pi/2)*(((Radius 1^2)*(Short outer height+Long outer height))-((Radius^2)*(Short inner height+Long inner height))))
  • surface_area_of_polyhedron = (pi*((Radius 1*(Short outer height+Long outer height))+(Radius*(Short inner height+Long inner height))))+(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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