Surface to Volume Ratio of Double Point given Height of Second Cone Calculator

✖Cylindrical Height of Double Point is the vertical distance between the circular faces of the cylindrical portion in the Double Point.ⓘ Cylindrical Height of Double Point [h_Cylinder]			+10% -10%
✖Length of Double Point is the distance between the sharp vertices of the conical parts at both ends of the Double Point.ⓘ Length of Double Point [l]			+10% -10%
✖Height of Second Cone of Double Point is the distance between the center of circular face and apex of the second cone attached to the cylindrical portion in the Double Point.ⓘ Height of Second Cone of Double Point [h_{Second Cone}]			+10% -10%
✖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.ⓘ Radius of Double Point [r]			+10% -10%

✖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.ⓘ Surface to Volume Ratio of Double Point given Height of Second Cone [R_A/V]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
R_A/V = ((2*h_Cylinder)+sqrt((l-h_Cylinder-h_{Second Cone})^2+r^2)+sqrt(h_{Second Cone}^2+r^2))/(r*(h_Cylinder+(l-h_Cylinder-h_{Second Cone})/3+h_{Second 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.
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.
Height of Second Cone of Double Point - (Measured in Meter) - Height of Second Cone of Double Point is the distance between the center of circular face and apex of the second 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.

STEP 1: Convert Input(s) to Base Unit

Cylindrical Height of Double Point: 20 Meter --> 20 Meter No Conversion Required
Length of Double Point: 45 Meter --> 45 Meter No Conversion Required
Height of Second Cone of Double Point: 10 Meter --> 10 Meter No Conversion Required
Radius of Double Point: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = ((2*h_Cylinder)+sqrt((l-h_Cylinder-h_{Second Cone})^2+r^2)+sqrt(h_{Second Cone}^2+r^2))/(r*(h_Cylinder+(l-h_Cylinder-h_{Second Cone})/3+h_{Second Cone}/3)) --> ((2*20)+sqrt((45-20-10)^2+5^2)+sqrt(10^2+5^2))/(5*(20+(45-20-10)/3+10/3))

Evaluating ... ...

R_A/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 00.013 seconds)

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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 Second Cone Formula

LaTeX Go

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 Second Cone?

Surface to Volume Ratio of Double Point given Height of Second Cone calculator uses 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)) to calculate the Surface to Volume Ratio of Double Point, Surface to Volume Ratio of Double Point given Height of Second 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 second cone of Double Point. Surface to Volume Ratio of Double Point is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Double Point given Height of Second Cone using this online calculator? To use this online calculator for Surface to Volume Ratio of Double Point given Height of Second Cone, enter Cylindrical Height of Double Point (h_Cylinder), Length of Double Point (l), Height of Second Cone of Double Point (h_{Second Cone}) & Radius of Double Point (r) and hit the calculate button. Here is how the Surface to Volume Ratio of Double Point given Height of Second Cone calculation can be explained with given input values -> 0.472883 = ((2*20)+sqrt((45-20-10)^2+5^2)+sqrt(10^2+5^2))/(5*(20+(45-20-10)/3+10/3)).

FAQ

What is Surface to Volume Ratio of Double Point given Height of Second Cone?

Surface to Volume Ratio of Double Point given Height of Second 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 second cone of Double Point and is represented as R_A/V = ((2*h_Cylinder)+sqrt((l-h_Cylinder-h_{Second Cone})^2+r^2)+sqrt(h_{Second Cone}^2+r^2))/(r*(h_Cylinder+(l-h_Cylinder-h_{Second Cone})/3+h_{Second Cone}/3)) or 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)). Cylindrical Height of Double Point is the vertical distance between 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, Height of Second Cone of Double Point is the distance between the center of circular face and apex of the second 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.

How to calculate Surface to Volume Ratio of Double Point given Height of Second Cone?

Surface to Volume Ratio of Double Point given Height of Second 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 second cone of Double Point is calculated using 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)). To calculate Surface to Volume Ratio of Double Point given Height of Second Cone, you need Cylindrical Height of Double Point (h_Cylinder), Length of Double Point (l), Height of Second Cone of Double Point (h_{Second Cone}) & Radius of Double Point (r). With our tool, you need to enter the respective value for Cylindrical Height of Double Point, Length of Double Point, Height of Second Cone of Double Point & Radius 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, Length of Double Point, Height of Second Cone of Double Point & Radius 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(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))

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