Volume of Cut Cylinder given Total Surface Area 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%
✖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 [TSA]			+10% -10%
✖Semi Minor Axis of Cut Cylinder is the half of the length of the longest chord which is perpendicular to the line joining the foci of the elliptic face of the Cut Cylinder.ⓘ Semi Minor Axis of Cut Cylinder [b]			+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 given Total Surface Area [V]

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Volume of Cut Cylinder given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
V = r/2*(TSA-(pi*r*(r+b)))
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.
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.
Semi Minor Axis of Cut Cylinder - (Measured in Meter) - Semi Minor Axis of Cut Cylinder is the half of the length of the longest chord which is perpendicular to the line joining the foci of the elliptic face of the Cut Cylinder.

STEP 1: Convert Input(s) to Base Unit

Radius of Cut Cylinder: 5 Meter --> 5 Meter No Conversion Required
Total Surface Area of Cut Cylinder: 680 Square Meter --> 680 Square Meter No Conversion Required
Semi Minor Axis of Cut Cylinder: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = r/2*(TSA-(pi*r*(r+b))) --> 5/2*(680-(pi*5*(5+6)))

Evaluating ... ...

V = 1268.0310101314

STEP 3: Convert Result to Output's Unit

1268.0310101314 Cubic Meter --> No Conversion Required

FINAL ANSWER

1268.0310101314 ≈ 1268.031 Cubic Meter <-- Volume of Cut Cylinder

(Calculation completed in 00.007 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Volume of Cut Cylinder Calculators

Volume of Cut Cylinder given Total Surface Area

LaTeX 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

LaTeX 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

LaTeX 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

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

Volume of Cut Cylinder given Total Surface Area Formula

LaTeX 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)))
V = r/2*(TSA-(pi*r*(r+b)))

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 given Total Surface Area?

Volume of Cut Cylinder given Total Surface Area calculator uses 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))) to calculate the Volume of Cut Cylinder, Volume of Cut Cylinder given Total Surface Area formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Cut Cylinder, and is calculated using total surface area of the Cut Cylinder. Volume of Cut Cylinder is denoted by V symbol.

How to calculate Volume of Cut Cylinder given Total Surface Area using this online calculator? To use this online calculator for Volume of Cut Cylinder given Total Surface Area, enter Radius of Cut Cylinder (r), Total Surface Area of Cut Cylinder (TSA) & Semi Minor Axis of Cut Cylinder (b) and hit the calculate button. Here is how the Volume of Cut Cylinder given Total Surface Area calculation can be explained with given input values -> 1268.031 = 5/2*(680-(pi*5*(5+6))).

FAQ

What is Volume of Cut Cylinder given Total Surface Area?

Volume of Cut Cylinder given Total Surface Area formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Cut Cylinder, and is calculated using total surface area of the Cut Cylinder and is represented as V = r/2*(TSA-(pi*r*(r+b))) or 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))). 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, Total Surface Area of Cut Cylinder is the total quantity of plane enclosed on the entire surface of the Cut Cylinder & Semi Minor Axis of Cut Cylinder is the half of the length of the longest chord which is perpendicular to the line joining the foci of the elliptic face of the Cut Cylinder.

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

Volume of Cut Cylinder given Total Surface Area formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Cut Cylinder, and is calculated using total surface area of the Cut Cylinder is calculated using 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))). To calculate Volume of Cut Cylinder given Total Surface Area, you need Radius of Cut Cylinder (r), Total Surface Area of Cut Cylinder (TSA) & Semi Minor Axis of Cut Cylinder (b). With our tool, you need to enter the respective value for Radius of Cut Cylinder, Total Surface Area of Cut Cylinder & Semi Minor Axis 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, Total Surface Area of Cut Cylinder & Semi Minor Axis of Cut Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 = 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

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