Radius of Cut Cylinder given Volume and Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Cut Cylinder = (2*Volume of Cut Cylinder)/Lateral Surface Area of Cut Cylinder
r = (2*V)/LSA
This formula uses 3 Variables
Variables Used
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.
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.
Lateral Surface Area of Cut Cylinder - (Measured in Square Meter) - Lateral Surface Area of Cut Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Cut Cylinder.
STEP 1: Convert Input(s) to Base Unit
Volume of Cut Cylinder: 1300 Cubic Meter --> 1300 Cubic Meter No Conversion Required
Lateral Surface Area of Cut Cylinder: 500 Square Meter --> 500 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = (2*V)/LSA --> (2*1300)/500
Evaluating ... ...
r = 5.2
STEP 3: Convert Result to Output's Unit
5.2 Meter --> No Conversion Required
FINAL ANSWER
5.2 Meter <-- Radius of Cut Cylinder
(Calculation completed in 00.004 seconds)

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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St Joseph's College (SJC), Bengaluru
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Radius of Cut Cylinder Calculators

Radius of Cut Cylinder given Volume
​ LaTeX ​ Go Radius of Cut Cylinder = sqrt(Volume of Cut Cylinder/(pi*((Short Height of Cut Cylinder+Long Height of Cut Cylinder)/2)))
Radius of Cut Cylinder given Semi Minor Axis
​ LaTeX ​ Go Radius of Cut Cylinder = sqrt(Semi Minor Axis of Cut Cylinder^2-((Long Height of Cut Cylinder-Short Height of Cut Cylinder)/2)^2)
Radius of Cut Cylinder given Lateral Surface Area
​ LaTeX ​ Go Radius of Cut Cylinder = Lateral Surface Area of Cut Cylinder/(pi*(Short Height of Cut Cylinder+Long Height of Cut Cylinder))
Radius of Cut Cylinder given Volume and Lateral Surface Area
​ LaTeX ​ Go Radius of Cut Cylinder = (2*Volume of Cut Cylinder)/Lateral Surface Area of Cut Cylinder

Radius of Cut Cylinder given Volume and Lateral Surface Area Formula

​LaTeX ​Go
Radius of Cut Cylinder = (2*Volume of Cut Cylinder)/Lateral Surface Area of Cut Cylinder
r = (2*V)/LSA

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 Radius of Cut Cylinder given Volume and Lateral Surface Area?

Radius of Cut Cylinder given Volume and Lateral Surface Area calculator uses Radius of Cut Cylinder = (2*Volume of Cut Cylinder)/Lateral Surface Area of Cut Cylinder to calculate the Radius of Cut Cylinder, Radius of Cut Cylinder given Volume and Lateral Surface Area formula is defined as the distance between the center and any point on the circumference of the base circular face of the Cut Cylinder, and is calculated using volume and lateral surface area of Cut Cylinder. Radius of Cut Cylinder is denoted by r symbol.

How to calculate Radius of Cut Cylinder given Volume and Lateral Surface Area using this online calculator? To use this online calculator for Radius of Cut Cylinder given Volume and Lateral Surface Area, enter Volume of Cut Cylinder (V) & Lateral Surface Area of Cut Cylinder (LSA) and hit the calculate button. Here is how the Radius of Cut Cylinder given Volume and Lateral Surface Area calculation can be explained with given input values -> 5.2 = (2*1300)/500.

FAQ

What is Radius of Cut Cylinder given Volume and Lateral Surface Area?
Radius of Cut Cylinder given Volume and Lateral Surface Area formula is defined as the distance between the center and any point on the circumference of the base circular face of the Cut Cylinder, and is calculated using volume and lateral surface area of Cut Cylinder and is represented as r = (2*V)/LSA or Radius of Cut Cylinder = (2*Volume of Cut Cylinder)/Lateral Surface Area of Cut Cylinder. Volume of Cut Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Cut Cylinder & Lateral Surface Area of Cut Cylinder is the total quantity of plane enclosed on the lateral curved surface of the Cut Cylinder.
How to calculate Radius of Cut Cylinder given Volume and Lateral Surface Area?
Radius of Cut Cylinder given Volume and Lateral Surface Area formula is defined as the distance between the center and any point on the circumference of the base circular face of the Cut Cylinder, and is calculated using volume and lateral surface area of Cut Cylinder is calculated using Radius of Cut Cylinder = (2*Volume of Cut Cylinder)/Lateral Surface Area of Cut Cylinder. To calculate Radius of Cut Cylinder given Volume and Lateral Surface Area, you need Volume of Cut Cylinder (V) & Lateral Surface Area of Cut Cylinder (LSA). With our tool, you need to enter the respective value for Volume of Cut Cylinder & Lateral Surface Area 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 Radius of Cut Cylinder?
In this formula, Radius of Cut Cylinder uses Volume of Cut Cylinder & Lateral Surface Area of Cut Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Radius of Cut Cylinder = Lateral Surface Area of Cut Cylinder/(pi*(Short Height of Cut Cylinder+Long Height of Cut Cylinder))
  • Radius of Cut Cylinder = sqrt(Volume of Cut Cylinder/(pi*((Short Height of Cut Cylinder+Long Height of Cut Cylinder)/2)))
  • Radius of Cut Cylinder = sqrt(Semi Minor Axis of Cut Cylinder^2-((Long Height of Cut Cylinder-Short Height of Cut Cylinder)/2)^2)
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