Volume of Double Point given Height of First Cone Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Double Point = pi*Radius of Double Point^2*(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)
V = pi*r^2*(hCylinder+hFirst Cone/3+(l-hCylinder-hFirst Cone)/3)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Volume of Double Point - (Measured in Cubic Meter) - Volume of Double Point is the total quantity of three dimensional space enclosed by the surface of 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.
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.
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
Radius of Double Point: 5 Meter --> 5 Meter No Conversion Required
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
Length of Double Point: 45 Meter --> 45 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = pi*r^2*(hCylinder+hFirst Cone/3+(l-hCylinder-hFirst Cone)/3) --> pi*5^2*(20+15/3+(45-20-15)/3)
Evaluating ... ...
V = 2225.29479629277
STEP 3: Convert Result to Output's Unit
2225.29479629277 Cubic Meter --> No Conversion Required
FINAL ANSWER
2225.29479629277 2225.295 Cubic Meter <-- Volume of Double Point
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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Volume of Double Point Calculators

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

Volume of Double Point given Height of First Cone Formula

​LaTeX ​Go
Volume of Double Point = pi*Radius of Double Point^2*(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)
V = pi*r^2*(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 Volume of Double Point given Height of First Cone?

Volume of Double Point given Height of First Cone calculator uses Volume of Double Point = pi*Radius of Double Point^2*(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 Volume of Double Point, Volume of Double Point given Height of First Cone formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Double Point, calculated using the height of the first cone of the Double Point. Volume of Double Point is denoted by V symbol.

How to calculate Volume of Double Point given Height of First Cone using this online calculator? To use this online calculator for Volume of Double Point given Height of First Cone, enter Radius of Double Point (r), Cylindrical Height of Double Point (hCylinder), Height of First Cone of Double Point (hFirst Cone) & Length of Double Point (l) and hit the calculate button. Here is how the Volume of Double Point given Height of First Cone calculation can be explained with given input values -> 2225.295 = pi*5^2*(20+15/3+(45-20-15)/3).

FAQ

What is Volume of Double Point given Height of First Cone?
Volume of Double Point given Height of First Cone formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Double Point, calculated using the height of the first cone of the Double Point and is represented as V = pi*r^2*(hCylinder+hFirst Cone/3+(l-hCylinder-hFirst Cone)/3) or Volume of Double Point = pi*Radius of Double Point^2*(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). 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, 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 & 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 Volume of Double Point given Height of First Cone?
Volume of Double Point given Height of First Cone formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Double Point, calculated using the height of the first cone of the Double Point is calculated using Volume of Double Point = pi*Radius of Double Point^2*(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 Volume of Double Point given Height of First Cone, you need Radius of Double Point (r), Cylindrical Height of Double Point (hCylinder), Height of First Cone of Double Point (hFirst Cone) & Length of Double Point (l). With our tool, you need to enter the respective value for Radius of Double Point, Cylindrical Height of Double Point, Height of First Cone 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 Volume of Double Point?
In this formula, Volume of Double Point uses Radius of Double Point, Cylindrical Height of Double Point, Height of First Cone of Double Point & Length of Double Point. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Volume of Double Point = pi*Radius of Double Point^2*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+Height of Second Cone of Double Point/3)
  • Volume of Double Point = pi*Radius of Double Point^2*((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)
  • Volume of Double Point = pi*Radius of Double Point^2*(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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