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

✖Height of Half Cylinder is the perpendicular distance between the top and bottom faces of Half Cylinder.ⓘ Height of Half Cylinder [h]			+10% -10%
✖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%

✖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 Height [R_A/V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Half Cylinder Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
R_A/V = 2*((pi*h)+(pi*sqrt(d_Space^2-h^2))+(2*h))/(pi*h*sqrt(d_Space^2-h^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.
Height of Half Cylinder - (Measured in Meter) - Height of Half Cylinder is the perpendicular distance between the top and bottom faces of 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.

STEP 1: Convert Input(s) to Base Unit

Height of Half Cylinder: 12 Meter --> 12 Meter No Conversion Required
Space Diagonal of Half Cylinder: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = 2*((pi*h)+(pi*sqrt(d_Space^2-h^2))+(2*h))/(pi*h*sqrt(d_Space^2-h^2)) --> 2*((pi*12)+(pi*sqrt(15^2-12^2))+(2*12))/(pi*12*sqrt(15^2-12^2))

Evaluating ... ...

R_A/V = 0.530359949415018

STEP 3: Convert Result to Output's Unit

0.530359949415018 1 per Meter --> No Conversion Required

FINAL ANSWER

0.530359949415018 ≈ 0.53036 1 per Meter <-- Surface to Volume Ratio of Half Cylinder

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Half Cylinder » Surface to Volume Ratio of Half Cylinder » Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< 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 Height Formula

LaTeX Go

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 Height?

Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height calculator uses 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)) to calculate the Surface to Volume Ratio of Half Cylinder, Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height formula is defined as the fraction of the surface area to the volume of the Half Cylinder, calculated using its space diagonal and height. 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 Height using this online calculator? To use this online calculator for Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height, enter Height of Half Cylinder (h) & Space Diagonal of Half Cylinder (d_Space) and hit the calculate button. Here is how the Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height calculation can be explained with given input values -> 0.53036 = 2*((pi*12)+(pi*sqrt(15^2-12^2))+(2*12))/(pi*12*sqrt(15^2-12^2)).

FAQ

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

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

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

Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height formula is defined as the fraction of the surface area to the volume of the Half Cylinder, calculated using its space diagonal and height is calculated using 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)). To calculate Surface to Volume Ratio of Half Cylinder given Space Diagonal and Height, you need Height of Half Cylinder (h) & Space Diagonal of Half Cylinder (d_Space). With our tool, you need to enter the respective value for Height of Half Cylinder & Space Diagonal 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 Height of Half Cylinder & Space Diagonal 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)+(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)))
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))

Home

FREE PDFs

🔍 Search