Surface to Volume Ratio of Half Cylinder given Space Diagonal and Radius Calculator

✖Space Diagonal of Half Cylinder is a line connecting two vertices that are not on the same face of Half Cylinder.ⓘ Space Diagonal of Half Cylinder [d_Space]			+10% -10%
✖Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder.ⓘ Radius of Half Cylinder [r]			+10% -10%

✖Surface to Volume Ratio of Half Cylinder is the fraction of the surface area to the volume of the Half Cylinder.ⓘ Surface to Volume Ratio of Half Cylinder given Space Diagonal and Radius [R_A/V]

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Surface to Volume Ratio of Half Cylinder given Space Diagonal and Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Half Cylinder = 2*((pi*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2))+(pi*Radius of Half Cylinder)+(2*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)))/(pi*Radius of Half Cylinder*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2))
R_A/V = 2*((pi*sqrt(d_Space^2-r^2))+(pi*r)+(2*sqrt(d_Space^2-r^2)))/(pi*r*sqrt(d_Space^2-r^2))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Surface to Volume Ratio of Half Cylinder - (Measured in 1 per Meter) - Surface to Volume Ratio of Half Cylinder is the fraction of the surface area to the volume of the Half Cylinder.
Space Diagonal of Half Cylinder - (Measured in Meter) - Space Diagonal of Half Cylinder is a line connecting two vertices that are not on the same face of Half Cylinder.
Radius of Half Cylinder - (Measured in Meter) - Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder.

STEP 1: Convert Input(s) to Base Unit

Space Diagonal of Half Cylinder: 15 Meter --> 15 Meter No Conversion Required
Radius of Half Cylinder: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = 2*((pi*sqrt(d_Space^2-r^2))+(pi*r)+(2*sqrt(d_Space^2-r^2)))/(pi*r*sqrt(d_Space^2-r^2)) --> 2*((pi*sqrt(15^2-10^2))+(pi*10)+(2*sqrt(15^2-10^2)))/(pi*10*sqrt(15^2-10^2))

Evaluating ... ...

R_A/V = 0.506209392673499

STEP 3: Convert Result to Output's Unit

0.506209392673499 1 per Meter --> No Conversion Required

FINAL ANSWER

0.506209392673499 ≈ 0.506209 1 per Meter <-- Surface to Volume Ratio of Half Cylinder

(Calculation completed in 00.004 seconds)

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< Surface to Volume Ratio of Half Cylinder Calculators

Surface to Volume Ratio of Half Cylinder given Space Diagonal and Radius

LaTeX Go Surface to Volume Ratio of Half Cylinder = 2*((pi*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2))+(pi*Radius of Half Cylinder)+(2*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)))/(pi*Radius of Half Cylinder*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2))

Surface to Volume Ratio of Half Cylinder given Volume and Height

LaTeX Go Surface to Volume Ratio of Half Cylinder = 2*((pi*Height of Half Cylinder)+(pi*sqrt((2*Volume of Half Cylinder)/(pi*Height of Half Cylinder)))+(2*Height of Half Cylinder))/(pi*Height of Half Cylinder*sqrt((2*Volume of Half Cylinder)/(pi*Height of Half Cylinder)))

Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height

LaTeX Go Surface to Volume Ratio of Half Cylinder = 2*((pi*Height of Half Cylinder)+(pi*sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2))+(2*Height of Half Cylinder))/(pi*Height of Half Cylinder*sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2))

Surface to Volume Ratio of Half Cylinder given Curved Surface Area and Height

LaTeX Go Surface to Volume Ratio of Half Cylinder = 2*((pi*Height of Half Cylinder)+(Curved Surface Area of Half Cylinder/Height of Half Cylinder)+(2*Height of Half Cylinder))/Curved Surface Area of Half Cylinder

Surface to Volume Ratio of Half Cylinder given Space Diagonal and Radius Formula

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What is Half Cylinder?

A Half-cylindrical shape in mathematics is a three-dimensional solid figure which is obtained when a cylinder is truncated longitudinally. When a horizontal cylinder is cut into two equal pieces parallel to the length of the cylinder, the shapes thus obtained are called half-cylinders.

How to Calculate Surface to Volume Ratio of Half Cylinder given Space Diagonal and Radius?

Surface to Volume Ratio of Half Cylinder given Space Diagonal and Radius calculator uses Surface to Volume Ratio of Half Cylinder = 2*((pi*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2))+(pi*Radius of Half Cylinder)+(2*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)))/(pi*Radius of Half Cylinder*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)) to calculate the Surface to Volume Ratio of Half Cylinder, Surface to Volume Ratio of Half Cylinder given Space Diagonal and Radius formula is defined as the fraction of the surface area to the volume of the Half Cylinder, calculated using its space diagonal and radius. Surface to Volume Ratio of Half Cylinder is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Half Cylinder given Space Diagonal and Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Half Cylinder given Space Diagonal and Radius, enter Space Diagonal of Half Cylinder (d_Space) & Radius of Half Cylinder (r) and hit the calculate button. Here is how the Surface to Volume Ratio of Half Cylinder given Space Diagonal and Radius calculation can be explained with given input values -> 0.506209 = 2*((pi*sqrt(15^2-10^2))+(pi*10)+(2*sqrt(15^2-10^2)))/(pi*10*sqrt(15^2-10^2)).

FAQ

What is Surface to Volume Ratio of Half Cylinder given Space Diagonal and Radius?

Surface to Volume Ratio of Half Cylinder given Space Diagonal and Radius formula is defined as the fraction of the surface area to the volume of the Half Cylinder, calculated using its space diagonal and radius and is represented as R_A/V = 2*((pi*sqrt(d_Space^2-r^2))+(pi*r)+(2*sqrt(d_Space^2-r^2)))/(pi*r*sqrt(d_Space^2-r^2)) or Surface to Volume Ratio of Half Cylinder = 2*((pi*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2))+(pi*Radius of Half Cylinder)+(2*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)))/(pi*Radius of Half Cylinder*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)). Space Diagonal of Half Cylinder is a line connecting two vertices that are not on the same face of Half Cylinder & Radius of Half Cylinder is the radius of the semicircular surface of the Half Cylinder.

How to calculate Surface to Volume Ratio of Half Cylinder given Space Diagonal and Radius?

Surface to Volume Ratio of Half Cylinder given Space Diagonal and Radius formula is defined as the fraction of the surface area to the volume of the Half Cylinder, calculated using its space diagonal and radius is calculated using Surface to Volume Ratio of Half Cylinder = 2*((pi*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2))+(pi*Radius of Half Cylinder)+(2*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)))/(pi*Radius of Half Cylinder*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)). To calculate Surface to Volume Ratio of Half Cylinder given Space Diagonal and Radius, you need Space Diagonal of Half Cylinder (d_Space) & Radius of Half Cylinder (r). With our tool, you need to enter the respective value for Space Diagonal of Half Cylinder & Radius of Half 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 Half Cylinder?

In this formula, Surface to Volume Ratio of Half Cylinder uses Space Diagonal of Half Cylinder & Radius of Half Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Half Cylinder = 2*((pi*Height of Half Cylinder)+(pi*sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2))+(2*Height of Half Cylinder))/(pi*Height of Half Cylinder*sqrt(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2))
Surface to Volume Ratio of Half Cylinder = 2*((pi*Height of Half Cylinder)+(Curved Surface Area of Half Cylinder/Height of Half Cylinder)+(2*Height of Half Cylinder))/Curved Surface Area of Half Cylinder
Surface to Volume Ratio of Half Cylinder = 2*((pi*Height of Half Cylinder)+(pi*sqrt((2*Volume of Half Cylinder)/(pi*Height of Half Cylinder)))+(2*Height of Half Cylinder))/(pi*Height of Half Cylinder*sqrt((2*Volume of Half Cylinder)/(pi*Height of Half Cylinder)))

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