Surface to Volume Ratio of Cut Cylinder given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface to Volume Ratio of Cut Cylinder = (2*Total Surface Area of Cut Cylinder)/(Radius of Cut Cylinder*Lateral Surface Area of Cut Cylinder)
RA/V = (2*TSA)/(r*LSA)
This formula uses 4 Variables
Variables Used
Surface to Volume Ratio of Cut Cylinder - (Measured in 1 per Meter) - Surface to Volume Ratio of Cut Cylinder is the numerical ratio of the total surface area of Cut Cylinder to the volume 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.
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.
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
Total Surface Area of Cut Cylinder: 680 Square Meter --> 680 Square Meter No Conversion Required
Radius of Cut Cylinder: 5 Meter --> 5 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
RA/V = (2*TSA)/(r*LSA) --> (2*680)/(5*500)
Evaluating ... ...
RA/V = 0.544
STEP 3: Convert Result to Output's Unit
0.544 1 per Meter --> No Conversion Required
FINAL ANSWER
0.544 1 per Meter <-- Surface to Volume Ratio of Cut Cylinder
(Calculation completed in 00.020 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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St Joseph's College (SJC), Bengaluru
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4 Surface to Volume Ratio of Cut Cylinder Calculators

Surface to Volume Ratio of Cut Cylinder given Volume
Go Surface to Volume Ratio of Cut Cylinder = sqrt((2*pi)/(Volume of Cut Cylinder*(Long Height of Cut Cylinder+Short Height of Cut Cylinder)))*(sqrt((2*Volume of Cut Cylinder)/(pi*(Long Height of Cut Cylinder+Short Height of Cut Cylinder)))+Semi Minor Axis of Cut Cylinder+Short Height of Cut Cylinder+Long Height of Cut Cylinder)
Surface to Volume Ratio of Cut Cylinder given Heights
Go Surface to Volume Ratio of Cut Cylinder = (2*(Radius of Cut Cylinder+Semi Minor Axis of Cut Cylinder+Short Height of Cut Cylinder+Long Height of Cut Cylinder))/(Radius of Cut Cylinder*(Short Height of Cut Cylinder+Long Height of Cut Cylinder))
Surface to Volume Ratio of Cut Cylinder given Lateral Surface Area
Go Surface to Volume Ratio of Cut Cylinder = (2*Total Surface Area of Cut Cylinder)/(Radius of Cut Cylinder*Lateral Surface Area of Cut Cylinder)
Surface to Volume Ratio of Cut Cylinder
Go Surface to Volume Ratio of Cut Cylinder = Total Surface Area of Cut Cylinder/Volume of Cut Cylinder

Surface to Volume Ratio of Cut Cylinder given Lateral Surface Area Formula

Surface to Volume Ratio of Cut Cylinder = (2*Total Surface Area of Cut Cylinder)/(Radius of Cut Cylinder*Lateral Surface Area of Cut Cylinder)
RA/V = (2*TSA)/(r*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 Surface to Volume Ratio of Cut Cylinder given Lateral Surface Area?

Surface to Volume Ratio of Cut Cylinder given Lateral Surface Area calculator uses Surface to Volume Ratio of Cut Cylinder = (2*Total Surface Area of Cut Cylinder)/(Radius of Cut Cylinder*Lateral Surface Area of Cut Cylinder) to calculate the Surface to Volume Ratio of Cut Cylinder, Surface to Volume Ratio of Cut Cylinder given Lateral Surface Area formula is defined as the numerical ratio of the total surface area of Cut Cylinder to the volume of the Cut Cylinder, and calculated using lateral surface area of the Cut Cylinder. Surface to Volume Ratio of Cut Cylinder is denoted by RA/V symbol.

How to calculate Surface to Volume Ratio of Cut Cylinder given Lateral Surface Area using this online calculator? To use this online calculator for Surface to Volume Ratio of Cut Cylinder given Lateral Surface Area, enter Total Surface Area of Cut Cylinder (TSA), Radius of Cut Cylinder (r) & Lateral Surface Area of Cut Cylinder (LSA) and hit the calculate button. Here is how the Surface to Volume Ratio of Cut Cylinder given Lateral Surface Area calculation can be explained with given input values -> 0.544 = (2*680)/(5*500).

FAQ

What is Surface to Volume Ratio of Cut Cylinder given Lateral Surface Area?
Surface to Volume Ratio of Cut Cylinder given Lateral Surface Area formula is defined as the numerical ratio of the total surface area of Cut Cylinder to the volume of the Cut Cylinder, and calculated using lateral surface area of the Cut Cylinder and is represented as RA/V = (2*TSA)/(r*LSA) or Surface to Volume Ratio of Cut Cylinder = (2*Total Surface Area of Cut Cylinder)/(Radius of Cut Cylinder*Lateral Surface Area of Cut Cylinder). Total Surface Area of Cut Cylinder is the total quantity of plane enclosed on the entire surface of the 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 & 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 Surface to Volume Ratio of Cut Cylinder given Lateral Surface Area?
Surface to Volume Ratio of Cut Cylinder given Lateral Surface Area formula is defined as the numerical ratio of the total surface area of Cut Cylinder to the volume of the Cut Cylinder, and calculated using lateral surface area of the Cut Cylinder is calculated using Surface to Volume Ratio of Cut Cylinder = (2*Total Surface Area of Cut Cylinder)/(Radius of Cut Cylinder*Lateral Surface Area of Cut Cylinder). To calculate Surface to Volume Ratio of Cut Cylinder given Lateral Surface Area, you need Total Surface Area of Cut Cylinder (TSA), Radius of Cut Cylinder (r) & Lateral Surface Area of Cut Cylinder (LSA). With our tool, you need to enter the respective value for Total Surface Area of Cut Cylinder, Radius 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 Surface to Volume Ratio of Cut Cylinder?
In this formula, Surface to Volume Ratio of Cut Cylinder uses Total Surface Area of Cut Cylinder, Radius 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 -
  • Surface to Volume Ratio of Cut Cylinder = (2*(Radius of Cut Cylinder+Semi Minor Axis of Cut Cylinder+Short Height of Cut Cylinder+Long Height of Cut Cylinder))/(Radius of Cut Cylinder*(Short Height of Cut Cylinder+Long Height of Cut Cylinder))
  • Surface to Volume Ratio of Cut Cylinder = Total Surface Area of Cut Cylinder/Volume of Cut Cylinder
  • Surface to Volume Ratio of Cut Cylinder = sqrt((2*pi)/(Volume of Cut Cylinder*(Long Height of Cut Cylinder+Short Height of Cut Cylinder)))*(sqrt((2*Volume of Cut Cylinder)/(pi*(Long Height of Cut Cylinder+Short Height of Cut Cylinder)))+Semi Minor Axis of Cut Cylinder+Short Height of Cut Cylinder+Long Height of Cut Cylinder)
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