Surface to Volume Ratio of Cut Cylinder given Heights 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%
✖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%
✖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%

✖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.ⓘ Surface to Volume Ratio of Cut Cylinder given Heights [R_A/V]

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Formula

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Surface to Volume Ratio of Cut Cylinder given Heights

Formula

`"R"_{"A/V"} = (2*("r"+"b"+"h"_{"Short"}+"h"_{"Long"}))/("r"*("h"_{"Short"}+"h"_{"Long"}))`

Example

`"0.5375m⁻¹"=(2*("5m"+"6m"+"12m"+"20m"))/("5m"*("12m"+"20m"))`

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Surface to Volume Ratio of Cut Cylinder given Heights Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
R_A/V = (2*(r+b+h_Short+h_Long))/(r*(h_Short+h_Long))
This formula uses 5 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.
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.
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.
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
Semi Minor Axis of Cut Cylinder: 6 Meter --> 6 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

R_A/V = (2*(r+b+h_Short+h_Long))/(r*(h_Short+h_Long)) --> (2*(5+6+12+20))/(5*(12+20))

Evaluating ... ...

R_A/V = 0.5375

STEP 3: Convert Result to Output's Unit

0.5375 1 per Meter --> No Conversion Required

FINAL ANSWER

0.5375 1 per Meter <-- Surface to Volume Ratio of Cut Cylinder

(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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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 Heights Formula

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 Heights?

Surface to Volume Ratio of Cut Cylinder given Heights calculator uses 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)) to calculate the Surface to Volume Ratio of Cut Cylinder, Surface to Volume Ratio of Cut Cylinder given Heights 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 both heights of the Cut Cylinder. Surface to Volume Ratio of Cut Cylinder is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Cut Cylinder given Heights using this online calculator? To use this online calculator for Surface to Volume Ratio of Cut Cylinder given Heights, enter Radius of Cut Cylinder (r), Semi Minor Axis of Cut Cylinder (b), Short Height of Cut Cylinder (h_Short) & Long Height of Cut Cylinder (h_Long) and hit the calculate button. Here is how the Surface to Volume Ratio of Cut Cylinder given Heights calculation can be explained with given input values -> 0.5375 = (2*(5+6+12+20))/(5*(12+20)).

FAQ

What is Surface to Volume Ratio of Cut Cylinder given Heights?

Surface to Volume Ratio of Cut Cylinder given Heights 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 both heights of the Cut Cylinder and is represented as R_A/V = (2*(r+b+h_Short+h_Long))/(r*(h_Short+h_Long)) or 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)). 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, 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, 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 Surface to Volume Ratio of Cut Cylinder given Heights?

Surface to Volume Ratio of Cut Cylinder given Heights 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 both heights of the Cut Cylinder is calculated using 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)). To calculate Surface to Volume Ratio of Cut Cylinder given Heights, you need Radius of Cut Cylinder (r), Semi Minor Axis of Cut Cylinder (b), 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, Semi Minor Axis 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 Surface to Volume Ratio of Cut Cylinder?

In this formula, Surface to Volume Ratio of Cut Cylinder uses Radius of Cut Cylinder, Semi Minor Axis 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 -

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)
Surface to Volume Ratio of Cut Cylinder = (2*Total Surface Area of Cut Cylinder)/(Radius of Cut Cylinder*Lateral Surface Area of Cut Cylinder)

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