Surface to Volume Ratio of Double Point given Height of First Cone Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface to Volume Ratio of Double Point = ((2*Cylindrical Height of Double Point)+sqrt(Height of First Cone of Double Point^2+Radius of Double Point^2)+sqrt((Length of Double Point-Cylindrical Height of Double Point-Height of First Cone of Double Point)^2+Radius of Double Point^2))/(Radius of Double Point*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+(Length of Double Point-Cylindrical Height of Double Point-Height of First Cone of Double Point)/3))
RA/V = ((2*hCylinder)+sqrt(hFirst Cone^2+r^2)+sqrt((l-hCylinder-hFirst Cone)^2+r^2))/(r*(hCylinder+hFirst Cone/3+(l-hCylinder-hFirst Cone)/3))
This formula uses 1 Functions, 5 Variables
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 Double Point - (Measured in 1 per Meter) - Surface to Volume Ratio of Double Point is the numerical ratio of the total surface area of a Double Point to the volume of the Double Point.
Cylindrical Height of Double Point - (Measured in Meter) - Cylindrical Height of Double Point is the vertical distance between the circular faces of the cylindrical portion in the Double Point.
Height of First Cone of Double Point - (Measured in Meter) - Height of First Cone of Double Point is the distance between the center of circular face and apex of the first cone attached to the cylindrical portion in the Double Point.
Radius of Double Point - (Measured in Meter) - Radius of Double Point is the distance from center to any point on the circumference of the circular faces of the cylindrical portion in the Double Point.
Length of Double Point - (Measured in Meter) - Length of Double Point is the distance between the sharp vertices of the conical parts at both ends of the Double Point.
STEP 1: Convert Input(s) to Base Unit
Cylindrical Height of Double Point: 20 Meter --> 20 Meter No Conversion Required
Height of First Cone of Double Point: 15 Meter --> 15 Meter No Conversion Required
Radius of Double Point: 5 Meter --> 5 Meter No Conversion Required
Length of Double Point: 45 Meter --> 45 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RA/V = ((2*hCylinder)+sqrt(hFirst Cone^2+r^2)+sqrt((l-hCylinder-hFirst Cone)^2+r^2))/(r*(hCylinder+hFirst Cone/3+(l-hCylinder-hFirst Cone)/3)) --> ((2*20)+sqrt(15^2+5^2)+sqrt((45-20-15)^2+5^2))/(5*(20+15/3+(45-20-15)/3))
Evaluating ... ...
RA/V = 0.472882787211818
STEP 3: Convert Result to Output's Unit
0.472882787211818 1 per Meter --> No Conversion Required
FINAL ANSWER
0.472882787211818 0.472883 1 per Meter <-- Surface to Volume Ratio of Double Point
(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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Surface to Volume Ratio of Double Point Calculators

Surface to Volume Ratio of Double Point given Length
​ LaTeX ​ Go Surface to Volume Ratio of Double Point = ((2*(Length of Double Point-Height of First Cone of Double Point-Height of Second Cone of Double Point))+sqrt(Height of First Cone of Double Point^2+Radius of Double Point^2)+sqrt(Height of Second Cone of Double Point^2+Radius of Double Point^2))/(Radius of Double Point*((Length of Double Point-Height of First Cone of Double Point-Height of Second Cone of Double Point)+Height of First Cone of Double Point/3+Height of Second Cone of Double Point/3))
Surface to Volume Ratio of Double Point given Height of Second Cone
​ LaTeX ​ Go Surface to Volume Ratio of Double Point = ((2*Cylindrical Height of Double Point)+sqrt((Length of Double Point-Cylindrical Height of Double Point-Height of Second Cone of Double Point)^2+Radius of Double Point^2)+sqrt(Height of Second Cone of Double Point^2+Radius of Double Point^2))/(Radius of Double Point*(Cylindrical Height of Double Point+(Length of Double Point-Cylindrical Height of Double Point-Height of Second Cone of Double Point)/3+Height of Second Cone of Double Point/3))
Surface to Volume Ratio of Double Point given Height of First Cone
​ LaTeX ​ Go Surface to Volume Ratio of Double Point = ((2*Cylindrical Height of Double Point)+sqrt(Height of First Cone of Double Point^2+Radius of Double Point^2)+sqrt((Length of Double Point-Cylindrical Height of Double Point-Height of First Cone of Double Point)^2+Radius of Double Point^2))/(Radius of Double Point*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+(Length of Double Point-Cylindrical Height of Double Point-Height of First Cone of Double Point)/3))
Surface to Volume Ratio of Double Point
​ LaTeX ​ Go Surface to Volume Ratio of Double Point = ((2*Cylindrical Height of Double Point)+sqrt(Height of First Cone of Double Point^2+Radius of Double Point^2)+sqrt(Height of Second Cone of Double Point^2+Radius of Double Point^2))/(Radius of Double Point*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+Height of Second Cone of Double Point/3))

Surface to Volume Ratio of Double Point given Height of First Cone Formula

​LaTeX ​Go
Surface to Volume Ratio of Double Point = ((2*Cylindrical Height of Double Point)+sqrt(Height of First Cone of Double Point^2+Radius of Double Point^2)+sqrt((Length of Double Point-Cylindrical Height of Double Point-Height of First Cone of Double Point)^2+Radius of Double Point^2))/(Radius of Double Point*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+(Length of Double Point-Cylindrical Height of Double Point-Height of First Cone of Double Point)/3))
RA/V = ((2*hCylinder)+sqrt(hFirst Cone^2+r^2)+sqrt((l-hCylinder-hFirst Cone)^2+r^2))/(r*(hCylinder+hFirst Cone/3+(l-hCylinder-hFirst Cone)/3))

What is Double Point?

In three dimensional geometry a Double Point is the shape formed by a circular cylinder with two circular cones of base radius equal to the radius of cylinder are attached on the circular faces of the cylinder. These two cones need not be identical, they can have different height. The reason for the name "Double Point" is the sharp tips of the two cones of this shape. Height of the Double Point is actually the distance between these two tips.

How to Calculate Surface to Volume Ratio of Double Point given Height of First Cone?

Surface to Volume Ratio of Double Point given Height of First Cone calculator uses Surface to Volume Ratio of Double Point = ((2*Cylindrical Height of Double Point)+sqrt(Height of First Cone of Double Point^2+Radius of Double Point^2)+sqrt((Length of Double Point-Cylindrical Height of Double Point-Height of First Cone of Double Point)^2+Radius of Double Point^2))/(Radius of Double Point*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+(Length of Double Point-Cylindrical Height of Double Point-Height of First Cone of Double Point)/3)) to calculate the Surface to Volume Ratio of Double Point, Surface to Volume Ratio of Double Point given Height of First Cone formula is defined as the numerical ratio of the total surface area of a Double Point to the volume of the Double Point, calculated using the height of the first cone of Double Point. Surface to Volume Ratio of Double Point is denoted by RA/V symbol.

How to calculate Surface to Volume Ratio of Double Point given Height of First Cone using this online calculator? To use this online calculator for Surface to Volume Ratio of Double Point given Height of First Cone, enter Cylindrical Height of Double Point (hCylinder), Height of First Cone of Double Point (hFirst Cone), Radius of Double Point (r) & Length of Double Point (l) and hit the calculate button. Here is how the Surface to Volume Ratio of Double Point given Height of First Cone calculation can be explained with given input values -> 0.472883 = ((2*20)+sqrt(15^2+5^2)+sqrt((45-20-15)^2+5^2))/(5*(20+15/3+(45-20-15)/3)).

FAQ

What is Surface to Volume Ratio of Double Point given Height of First Cone?
Surface to Volume Ratio of Double Point given Height of First Cone formula is defined as the numerical ratio of the total surface area of a Double Point to the volume of the Double Point, calculated using the height of the first cone of Double Point and is represented as RA/V = ((2*hCylinder)+sqrt(hFirst Cone^2+r^2)+sqrt((l-hCylinder-hFirst Cone)^2+r^2))/(r*(hCylinder+hFirst Cone/3+(l-hCylinder-hFirst Cone)/3)) or Surface to Volume Ratio of Double Point = ((2*Cylindrical Height of Double Point)+sqrt(Height of First Cone of Double Point^2+Radius of Double Point^2)+sqrt((Length of Double Point-Cylindrical Height of Double Point-Height of First Cone of Double Point)^2+Radius of Double Point^2))/(Radius of Double Point*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+(Length of Double Point-Cylindrical Height of Double Point-Height of First Cone of Double Point)/3)). Cylindrical Height of Double Point is the vertical distance between the circular faces of the cylindrical portion in the Double Point, Height of First Cone of Double Point is the distance between the center of circular face and apex of the first cone attached to the cylindrical portion in the Double Point, Radius of Double Point is the distance from center to any point on the circumference of the circular faces of the cylindrical portion in the Double Point & Length of Double Point is the distance between the sharp vertices of the conical parts at both ends of the Double Point.
How to calculate Surface to Volume Ratio of Double Point given Height of First Cone?
Surface to Volume Ratio of Double Point given Height of First Cone formula is defined as the numerical ratio of the total surface area of a Double Point to the volume of the Double Point, calculated using the height of the first cone of Double Point is calculated using Surface to Volume Ratio of Double Point = ((2*Cylindrical Height of Double Point)+sqrt(Height of First Cone of Double Point^2+Radius of Double Point^2)+sqrt((Length of Double Point-Cylindrical Height of Double Point-Height of First Cone of Double Point)^2+Radius of Double Point^2))/(Radius of Double Point*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+(Length of Double Point-Cylindrical Height of Double Point-Height of First Cone of Double Point)/3)). To calculate Surface to Volume Ratio of Double Point given Height of First Cone, you need Cylindrical Height of Double Point (hCylinder), Height of First Cone of Double Point (hFirst Cone), Radius of Double Point (r) & Length of Double Point (l). With our tool, you need to enter the respective value for Cylindrical Height of Double Point, Height of First Cone of Double Point, Radius of Double Point & Length of Double Point 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 Double Point?
In this formula, Surface to Volume Ratio of Double Point uses Cylindrical Height of Double Point, Height of First Cone of Double Point, Radius of Double Point & Length of Double Point. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Surface to Volume Ratio of Double Point = ((2*Cylindrical Height of Double Point)+sqrt(Height of First Cone of Double Point^2+Radius of Double Point^2)+sqrt(Height of Second Cone of Double Point^2+Radius of Double Point^2))/(Radius of Double Point*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+Height of Second Cone of Double Point/3))
  • Surface to Volume Ratio of Double Point = ((2*(Length of Double Point-Height of First Cone of Double Point-Height of Second Cone of Double Point))+sqrt(Height of First Cone of Double Point^2+Radius of Double Point^2)+sqrt(Height of Second Cone of Double Point^2+Radius of Double Point^2))/(Radius of Double Point*((Length of Double Point-Height of First Cone of Double Point-Height of Second Cone of Double Point)+Height of First Cone of Double Point/3+Height of Second Cone of Double Point/3))
  • Surface to Volume Ratio of Double Point = ((2*Cylindrical Height of Double Point)+sqrt((Length of Double Point-Cylindrical Height of Double Point-Height of Second Cone of Double Point)^2+Radius of Double Point^2)+sqrt(Height of Second Cone of Double Point^2+Radius of Double Point^2))/(Radius of Double Point*(Cylindrical Height of Double Point+(Length of Double Point-Cylindrical Height of Double Point-Height of Second Cone of Double Point)/3+Height of Second Cone of Double Point/3))
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