Volume of Cut Cylinder 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%

✖Volume of Cut Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Cut Cylinder.ⓘ Volume of Cut Cylinder [V]

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Formula

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Volume of Cut Cylinder

Formula

`"V" = pi*"r"^2*(("h"_{"Short"}+"h"_{"Long"})/2)`

Example

`"1256.637m³"=pi*("5m")^2*(("12m"+"20m")/2)`

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Volume of Cut Cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Cut Cylinder = pi*Radius of Cut Cylinder^2*((Short Height of Cut Cylinder+Long Height of Cut Cylinder)/2)
V = pi*r^2*((h_Short+h_Long)/2)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Volume of Cut Cylinder - (Measured in Cubic Meter) - Volume of Cut Cylinder is the total quantity of three dimensional space enclosed by 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

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

Evaluating ... ...

V = 1256.63706143592

STEP 3: Convert Result to Output's Unit

1256.63706143592 Cubic Meter --> No Conversion Required

FINAL ANSWER

1256.63706143592 ≈ 1256.637 Cubic Meter <-- Volume of Cut Cylinder

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< 4 Volume of Cut Cylinder Calculators

Volume of Cut Cylinder given Total Surface Area

Go Volume of Cut Cylinder = Radius of Cut Cylinder/2*(Total Surface Area of Cut Cylinder-(pi*Radius of Cut Cylinder*(Radius of Cut Cylinder+Semi Minor Axis of Cut Cylinder)))

Volume of Cut Cylinder given Lateral Surface Area and Heights

Go Volume of Cut Cylinder = Lateral Surface Area of Cut Cylinder^2/(2*pi*(Short Height of Cut Cylinder+Long Height of Cut Cylinder))

Volume of Cut Cylinder

Go Volume of Cut Cylinder = pi*Radius of Cut Cylinder^2*((Short Height of Cut Cylinder+Long Height of Cut Cylinder)/2)

Volume of Cut Cylinder given Lateral Surface Area

Go Volume of Cut Cylinder = Radius of Cut Cylinder/2*Lateral Surface Area of Cut Cylinder

Volume of Cut Cylinder Formula

Volume of Cut Cylinder = pi*Radius of Cut Cylinder^2*((Short Height of Cut Cylinder+Long Height of Cut Cylinder)/2)
V = pi*r^2*((h_Short+h_Long)/2)

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 Volume of Cut Cylinder?

Volume of Cut Cylinder calculator uses Volume of Cut Cylinder = pi*Radius of Cut Cylinder^2*((Short Height of Cut Cylinder+Long Height of Cut Cylinder)/2) to calculate the Volume of Cut Cylinder, Volume of Cut Cylinder formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Cut Cylinder. Volume of Cut Cylinder is denoted by V symbol.

How to calculate Volume of Cut Cylinder using this online calculator? To use this online calculator for Volume of Cut Cylinder, 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 Volume of Cut Cylinder calculation can be explained with given input values -> 1256.637 = pi*5^2*((12+20)/2).

FAQ

What is Volume of Cut Cylinder?

Volume of Cut Cylinder formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Cut Cylinder and is represented as V = pi*r^2*((h_Short+h_Long)/2) or Volume of Cut Cylinder = pi*Radius of Cut Cylinder^2*((Short Height of Cut Cylinder+Long Height of Cut Cylinder)/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 Volume of Cut Cylinder?

Volume of Cut Cylinder formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Cut Cylinder is calculated using Volume of Cut Cylinder = pi*Radius of Cut Cylinder^2*((Short Height of Cut Cylinder+Long Height of Cut Cylinder)/2). To calculate Volume of Cut Cylinder, 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 Volume of Cut Cylinder?

In this formula, Volume 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 -

Volume of Cut Cylinder = Lateral Surface Area of Cut Cylinder^2/(2*pi*(Short Height of Cut Cylinder+Long Height of Cut Cylinder))
Volume of Cut Cylinder = Radius of Cut Cylinder/2*Lateral Surface Area of Cut Cylinder
Volume of Cut Cylinder = Radius of Cut Cylinder/2*(Total Surface Area of Cut Cylinder-(pi*Radius of Cut Cylinder*(Radius of Cut Cylinder+Semi Minor Axis of Cut Cylinder)))

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